I need some help with this asap!

I Need Some Help With This Asap!

Answers

Answer 1

The inverse of f(x) = 11x - 8 include the following: C. [tex]f^{-1}(x) = \frac{x+8}{11}[/tex]

What is an inverse function?

In Mathematics and Geometry, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;

f(x) = y = 11x - 8

x = 11y - 8

11y = x + 8

By dividing both sides of the equation by 11, we have:

y = x/11 + 8/11

f⁻¹(x) = (x + 8)/11

[tex]f^{-1}(x) = \frac{x+8}{11}[/tex]

Read more on inverse function here: brainly.com/question/14033685

#SPJ1


Related Questions

PROBLEM SOLVING The period of a pendulum is the time the pendulum takes to complete one back-and-forth swing. The period $T$ (in seconds) can be modeled by the function $T=1.1\sqrt{L}$ , where $L$ is the length (in feet) of the pendulum. Estimate the length of a pendulum with a period of $1.65$ seconds. Write your answer as a decimal.

Answers

Answer:

If $T=1.65$ seconds, then we can solve the equation for $L$ as follows:

$$

T=1.1\sqrt{L}

$$

$$

\frac{T}{1.1}=\sqrt{L}

$$

$$

\left(\frac{T}{1.1}\right)^2=L

$$

Substituting $T=1.65$, we get:

$$

L=\left(\frac{1.65}{1.1}\right)^2=2.25

$$

Therefore, the length of the pendulum is approximately 2.25 feet.

a recent study found that 30% of all opioid prescriptions are missing a documented medical justification for use. a hospital administrator wonders if a smaller proportion of patients at her hospital are missing a medical justification for their opioid prescriptions. suppose the hospital administrator conducts a review of a random sample of 25 opioid-prescribed patient files at her hospital and 5 of those files are missing a documented medical justification for the opioid prescription. a statistician carries out a significance test of the null hypothesis versus the alternative hypothesis. what is the value of the standardized test statistic for this significance test (rounded to the nearest tenth)?

Answers

The value of the standardized test statistic for this significance test is -1.3

For the standardized test statistic for this significance test, we need to compare the sample proportion to the hypothesized population proportion.

The null hypothesis (H₀)  

H₀: The proportion of patients missing a medical justification for opioid prescriptions at the hospital is equal to 30%.

The alternative hypothesis (H₁)

H₁: The proportion of patients missing a medical justification for opioid prescriptions at the hospital is different from 30%.

The sample size is 25 and 5 of those files are missing a medical,

The sample proportion (p) can be calculated as

(p) hat = (Number of files missing justification) / (Total number of files)

(p) hat = 5 / 25

(p) hat = 0.2

The standard error is given by

SE = √[((p) hat × (1 - (p) hat)) / n]

SE = √[(0.2 × (1 - 0.2)) / 25] = √(0.16 / 25) = 0.08

For the standardized test statistic, we use the formula:

z = ((p) hat - p₀) / SE

where p₀ is the hypothesized population proportion.

p₀ = 30% = 0.3

z = (0.2 - 0.3) / 0.08 = -0.1 / 0.08 = -1.25 = -1.3

The value of the standardized test statistic for this significance test is approximately -1.3

To know more about standardized test click here :

https://brainly.com/question/31526690

#SPJ4

The great pyramid in giza, Egypt is a square-based. The length of one side of the base is 755 feet, it has a height of 481 feet and a slant height of 610 feet. About how many cubic feet are inside the great pyramid

Answers

There are 98,087,770 cubic feet inside the Great Pyramid.

To calculate the approximate volume of the Great Pyramid in Giza, we can use the formula for the volume of a pyramid:

Volume = (1/3) × base area × height

Since the Great Pyramid is square-based, the base area is equal to the length of one side squared. Given that the length of one side of the base is 755 feet, the base area is [tex]755^2[/tex] square feet.

Using the given height of 481 feet, we can substitute these values into the formula:

Volume = (1/3) × [tex]755^2[/tex] × 481

Calculating this expression, we find that the approximate volume of the Great Pyramid is:

Volume ≈ 98,087,770 cubic feet

There are approximately 98,087,770 cubic feet inside the Great Pyramid.

For more questions on the Great Pyramid, visit:

https://brainly.com/question/27592197

#SPJ11

find the cosine of the angle between the planes x + y + z = 0 and x + 3y + 4z = 6.

Answers

So the cosine of the angle between the two planes is 8sqrt(78) / 78.

To find the cosine of the angle between two planes, we need to find the normal vectors of each plane and then use the dot product formula.

The normal vector of the first plane is <1, 1, 1>, and the normal vector of the second plane is <1, 3, 4>.

The dot product of these two vectors is:

<1, 1, 1> · <1, 3, 4> = 1(1) + 1(3) + 1(4) = 8

The magnitude of the normal vector of the first plane is:

|<1, 1, 1>| = sqrt(1^2 + 1^2 + 1^2) = sqrt(3)

The magnitude of the normal vector of the second plane is:

|<1, 3, 4>| = sqrt(1^2 + 3^2 + 4^2) = sqrt(26)

Therefore, the cosine of the angle between the two planes is:

cosθ = (normal vector of plane 1) · (normal vector of plane 2) / (magnitude of normal vector of plane 1) * (magnitude of normal vector of plane 2)

= 8 / (sqrt(3) * sqrt(26))

= 8 / (sqrt(78))

= 8sqrt(78) / 78

To know more about angle,

https://brainly.com/question/31434850

#SPJ11

The function models the cost in dollars, c(x) = 72(1.04)X, of 1 ounce of a certain chemical used in
a laboratory. & represents the number of years since 2010.
Part a: By What percer tage does the cost of the chemical increase per year?

Answers

An ounce of the chemical cost in 2018 is $98.54.

Given:

The function c(x) = 72 ⋅ (1.04)ˣ models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory.

Exponential function, involves exponents. an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

In mathematics, an exponential function is a function of form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

x represents the number of years since 2010.

An ounce of the chemical cost in 2018 is,

= 72 × (1.04)⁸

= $98.54

Therefore, the cost is $98.54.

To learn more about the exponential function;

brainly.com/question/14344314

#SPJ1

the actual car is 8 feet long and 4 feet wide. grace wants her model to be 12 inches in length. which proportion could be used to find the width of her model?

Answers

The proportion that could be used to find the width of Grace's model car is 1/2 = Model width / 12 inches.

To find the width of Grace's model car, a proportion can be set up using the lengths of the actual car and the desired model:

Proportion: Actual width / Actual length = Model width / Model length

Given values:

Actual length = 8 feet

Actual width = 4 feet

Model length = 12 inches

Converting the units:

12 inches = 1 foot (since 1 foot = 12 inches)

Substituting the values into the proportion:

4 feet / 8 feet = Model width / 12 inches

Simplifying the proportion:

1/2 = Model width / 12 inches

To find the model width, cross-multiply and solve for the unknown:

Model width = (1/2) * 12 inches = 6 inches

Know more about proportion here;

https://brainly.com/question/31548894

#SPJ11

find the general solution to the system x ' = ax where a is the given matrix.

Answers

The general solution to the system x' = Ax, where A is the given matrix, can be expressed as x(t) = Ce^(At), where C is a constant matrix and e^(At) is the matrix exponential of At. This solution represents a linear combination of exponential functions, where each component of x(t) is determined by the corresponding component of C and the matrix exponential of At.

To find the general solution to the system x' = Ax, we can express the solution in terms of the matrix exponential. The matrix exponential of At, denoted as e^(At), is defined as the power series expansion of the exponential function applied to the matrix At. It can be computed using various techniques, such as diagonalization, Jordan decomposition, or power series.

The general solution to the system x' = Ax can then be written as x(t) = Ce^(At), where C is a constant matrix. This solution represents a linear combination of exponential functions, where each component of x(t) is determined by the corresponding component of C and the matrix exponential of At.

The matrix exponential e^(At) has properties that are analogous to those of the scalar exponential function. It satisfies the initial condition e^(A * 0) = I, where I is the identity matrix, and it can be used to find solutions for different initial conditions by appropriately choosing the constant matrix C.

Learn more about Matrix here: brainly.com/question/29000721

#SPJ11

Two forces, X and Y, acting on an object form a 24° angle between each other. Force X is 56 pounds, and force Y is 76 pounds. What is the approximate magnitude of the resultant force?

Answers

Answer: i think

Step-by-step explanation: -9.8 m/s^2 is not the force of gravity, it is the free fall acceleration due to gravity on Earth. According to Newton's second law, F = ma. Which means that Weight = mass * gravitational

Not the force of gravity

Saturday Pizza Orders at Pizza Palace
Pepperoni 24
Beef 36
Sausage 21
Cheese 38
Mushroom 6
What percent
of orders were
for beef?
Round to the
nearest percent.

Answers

Answer: 28.8%

Step-by-step explanation:

First, add all the pizzas together. This gives us the total; 125

Next, put 36 over the total. 36/125.

Divide 36/125. Equals .288

When doing percentage, You multiply your decimal by 100, or bounce the decimal twice to the right. This gets you 28.8%

if the population of san diego grows by 2.0% per year how long will it take the population to double?

Answers

It will take approximately 35 years for the population of San Diego to double if it grows at a rate of 2.0% per year.

To determine how long it will take for the population of San Diego to double, we can use the concept of exponential growth.

When a population grows by a fixed percentage, the formula to calculate the doubling time is given by:

Doubling Time = (log(2) / log(1 + growth rate))

In this case, the growth rate is 2.0% or 0.02 (expressed as a decimal). Plugging this value into the formula, we can calculate the doubling time.

Doubling Time = (log(2) / log(1 + 0.02))

Using a calculator, we can evaluate this expression:

Doubling Time ≈ 35 years

Know more about exponential growth here:

https://brainly.com/question/1596693

#SPJ11

a bird leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. the distance between the nest and the ditch is 200 meters. in one and a half hours, the bird manages to bring worms to its nest 15 times. what is the speed of the bird in kilometers per hour?

Answers

Therefore, the speed of the bird is approximately 1.001 kilometers per hour.

We can start by calculating the total distance the bird flew, which is the distance between the nest and the ditch multiplied by the number of round trips:

total distance = 2 × distance between nest and ditch × number of round trips

total distance = 2 × 200 meters × 15

total distance = 6000 meters

Next, we can calculate the bird's average speed by dividing the total distance by the time it took to make the trips:

average speed = total distance ÷ time

average speed = 6000 meters ÷ (1.5 hours × 3600 seconds/hour)

average speed = 0.278 meters/second

To convert this to kilometers per hour, we can multiply by the conversion factor of 3.6:

average speed = 0.278 meters/second × 3.6 kilometers/meter

average speed = 1.001 kilometers/hour

To know more about speed,

https://brainly.com/question/18948809

#SPJ11

Can someone help me solve question number 14? I've tried to solve it and got 3426 while the answers in the book say it's 2,6. Can someone pls explain why it's wrong?

Answers

Answer:

x = 2, 6

Step-by-step explanation:

differentiate f(x) using the power rule

f'(a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and f'( constant) = 0

given

f(x) = x³ - 12x² + 6x - 8

f'(x) = 3x² - 24x + 6

equate f'(x) to - 30

3x² - 24x + 6 = - 30 ( add 30 to both sides )

3x² - 24x + 36 = 0 ( divide through by 3 )

x² - 8x + 12 = 0 ← in standard form

(x - 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

solution is x = 2, 6

find y. the number on the leg is 9.

Answers

The length of y of the triangle is y = 9√2 units

Given data ,

Let the Triangle be ΔABC , such that

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying , we get

From the trigonometric relations , we get

sin θ = opposite / hypotenuse

sin 45° = 9 / y

Multiply by y on both sides , we get

y = 9 / sin 45°

On simplifying , we get

y = 9√2 units

Hence , the length is y = 9√2 units

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ1

help help helpppppppppppppppppppppppp

Answers

Answer:

  B, D, F

Step-by-step explanation:

You want the diagrams that show lines through the center of enlargement, where the smaller triangle is enlarged to form the larger triangle.

Enlargement

Each point in an enlarged figure is moved toward or away from the center of enlargement along a line through that center. That is, corresponding vertices of a triangle and its enlargement will lie on a line through the enlargement center.

The diagrams of interest are those that show lines through corresponding vertices of the triangles.

Diagrams B, D, F show lines through the center of enlargement.

__

Additional comment

The center of enlargement is marked in the attachment by a blue dot. Enlargement is by a factor of 3.

Points are moved away if the scale factor is greater than 1; toward the center of enlargement for a scale factor less than 1.

<95141404393>

Transform the equation x-3y=15 to express it in slope-intercept form

Answers

Answer:

y = (1/3)x - 5

Step-by-step explanation:

x - 3y = 15

x - 15 = 3y

3y = x -15

y = (1/3)x - 5

Hello !

Answer:

[tex]\boxed{y=\frac{1}{3}x-5}[/tex]

Step-by-step explanation:

An equation in slope-intercept form is [tex]y=mx+b[/tex].

Let's isolate y in our equation :

[tex]x-3y=15\\-3y=-x+15\\3y=x-15\\y=\frac{1}{3}x-5[/tex]

Our equation is in the form [tex]y=mx+b[/tex] with [tex]m=\frac{1}{3}[/tex] and [tex]b=-5[/tex].

Have a nice day

kyra coverted some australian dollars to pounds she received £67.50
kyra coverted some australian dollars to pounds she received £67.50

Answers

Kyra will receive $125 USD when she converts £67.50 to USD.

Given that, Kyra wants to convert some Australian dollars to pounds she received £67.50.

Exchange rate =

Exchange rates are typically quoted as currency pairs, where one currency is the base currency and the other is the counter currency.

To convert £67.50 into USD using the exchange rate of $1 = £0.54, you can multiply the amount in pounds by the exchange rate.

Here's the calculation:

£67.50 x $1/£0.54 = $125

Therefore, Kyra will receive $125 USD when she converts £67.50 to USD.

Learn more about exchange rate click;

https://brainly.com/question/14930716

#SPJ1

Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
51, 54, 56, 58, 60
51, 53, 56, 59, 60
53, 54, 55, 59, 60
51, 53, 55, 58, 60

Answers

The set of numerical values that represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, is:

51, 53, 55, 58, 60

To determine the minimum, lower quartile, median, upper quartile, and maximum of the given data set, we can arrange the values in ascending order:

51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60

Arranging the values in ascending order gives us:

51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60

The minimum value is 51.

The lower quartile (Q1) is the median of the lower half of the data, which is 53.

The median (Q2) is the middle value of the data set, which is 55.

The upper quartile (Q3) is the median of the upper half of the data, which is 58.

The maximum value is 60.

Know more about median here:

https://brainly.com/question/11237736

#SPJ11

Please answer quickly I need it asap ill give brainiest!!!

Answers

The correct matching of the items of math in the columns is:

a number that has more factors than just 1 and itself - composite numbersmallest number that all the given denominators divide into evenly - least common denominatordata grouped using non-numerical criteria - categorical datafractions with the same numerical value; fractions that are equal to each other - equivalent fractionsa line segment that goes through the center of the circle to connect two points on the circle - diametera plane figure that is one side of a solid figure - facethe measurement of the space inside a plane figure - areaa shape or object that has been transformed - imagehaving the same exact size and shape - congruent

What are some terms in math ?

A composite number is a number that possesses additional factors besides 1 and its own value. The smallest number that can be divided evenly by all the denominators given is known as the least common denominator.

Non-numeric criteria are used to group data in categorical data. Fractions that have identical numerical values are referred to as equivalent fractions. When a line segment passes through the center of a circle and joins two points on its circumference, it is known as the circle's diameter.

Find out more on matching terms at https://brainly.com/question/11658525


#SPJ1

pls help!!! need help asap!!!

Answers

Answer:

parallel

Step-by-step explanation:

all horizontal lines are parallel

Answer:Parallel and all horizontal lines are parallel

Step-by-step explanation:

Help me please! 45 points and brainliest will be given if the option is available.

Answers

Answer:

I think it should be -2.5,-4.5

Answer: Yes the answer is -2.5 , -4.5

Step-by-step explanation:

This is not only because the X axis is always first, but also because the lines are not perfectly centered. Hope this helps! Give the other person brainliest, they answered first and they have never gotten one.

A square, with sides of length x cm, is inside a circle.
Each vertex of the square is on the circumference of the circle.
The area of the circle is 64 cm².
Work out the value of x.
Give your answer correct to 3 significant figures.

Answers

The value of x will be 6.383cm.

Solution to Circle Geometry problem

Point to note

The diameter of the circle is the diagonal of the squareEach half of the square formed a right angle triangle

We can use the Pythagorean theorem to find the length of the diagonal which is same as diameter

diameter² = side² + side²

diameter² = 2 * x²

diameter = √(2 * x²)

Since the diameter is equal to twice the radius, we have:

diameter = 2 * radius

radius = diagonal / 2

radius = √(2 * x²) / 2

Recall that  area of the circle is given by:

area = πr²

where r is the radius

Substituting the expression for the radius, we get:

64 cm² = π * (√(2 * x²) / 2)²

64 cm² = π * (2 * x² / 4)

64 cm² = π * (x² / 2)

128 = π * x²

Solving for x, we get:

x² = 128 / π

x = √(128 / π)

x = 6.383

Therefore, the value of x is approximately 6.383cm.

Learn more about circle geometry here:

https://brainly.com/question/30852166

#SPJ1

(k + 1 )(k - 5 ) = 0 solve equation for x

Answers

Answer:

solve for k or x?

because x isnt on the equation.

i solved for k though

k = -1, 5

Step-by-step explanation:

Solved by simplifying both sides of the equation, then isolating the variable.

The position (in meters) of a particle per respect to time (in seconds) is defined by the following function: s(t) = t^4 - 16t^3 + 72t^2 +5. Find the maximal and minimal value for the speed of the particle on domain of t being [1,7[

Answers

Answer:

Max at t=2, 128 m/s

Min at t=6, 0 m/s

Step-by-step explanation:

Given the position function of a particle with respect to time, find the minimum and maximum velocity the particle travels over the interval [1,7].

[tex]s(t)=t^4-16t^3+72t^2+5[/tex]

(1) - Find the velocity function of the particle

The velocity function is a derivative of the position function.

[tex]s'(t)=v(t)\\\\s(t)=t^4-16t^3+72t^2+5\\\\\Longrightarrow s'(t)=\frac{d}{dx}[t^4-16t^3+72t^2+5] \\\\\text{Use the derivative rules.}\\\\\boxed{\left\begin{array}{ccc}\text{\underline{Power Rule:}}\\\\\frac{d}{dx}[x^n]=nx^{n-1} \end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Constant Rule:}}\\\\\frac{d}{dx}[k]=0 \end{array}\right} \\\\\\\Longrightarrow s'(t)=(4)t^{4-1}-16(3)t^{3-1}+72(2)t^{2-1}+0\\\\\Longrightarrow s'(t)=4t^{3}-48t^{2}+144t\\\\[/tex]

[tex]\therefore \boxed{v(t)=4t^{3}-48t^{2}+144t}[/tex]

(3) - Take the derivative of v(t)

[tex]v(t)=4t^{3}-48t^{2}+144t\\\\\Longrightarrow v'(t)=12t^2-96t+144[/tex]

(4) - Let v'(t)=0 and solve for "t," these are the critical points

[tex]v'(t)=12t^2-96t+144\\\\\Longrightarrow 0=12t^2-96t+144\\\\\Longrightarrow 0=12[t^2-8t+12]\\\\\Longrightarrow 0=t^2-8t+12\\\\\Longrightarrow (t-6)(t-2)=0\\\\\therefore \text{The critical points are} \ \boxed{t=6 \ \text{and} \ t=2}[/tex]

(5) - Find the max/min values (in this case these values represent the particle's velocity) by plugging the critical points into v(t)

[tex]\text{Recall that} \ v(t)=4t^{3}-48t^{2}+144t \ \text{and} \ t=6, \ t=2\\\\\text{\underline{When t=6:}}\\\\\Longrightarrow v(6)=4(6)^{3}-48(6)^{2}+144(6)\\\\\Longrightarrow \boxed{v(6)=0 \ m/s}\\\\\text{\underline{When t=2:}}\\\\\Longrightarrow v(2)=4(2)^{3}-48(2)^{2}+144(2)\\\\\Longrightarrow \boxed{v(6)=128 \ m/s}[/tex]

Thus, at time, t=6, the particle's velocity is smallest, 0 m/s. And at time, t=2, the particle's velocity is greatest, 128 m/s.

Aprende con un ejemplo
GH tiene puntos finales en G (1, 7) y H (1, 9). Encuentre el punto medio M de GH .
Escribe las coordenadas como decimales o enteros.
METRO =

Answers

Answer:

Therefore, the coordinates of the midpoint M are (1, 8).

Step-by-step explanation:

The midpoint formula is:

M = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

Using this formula, we have:

M = ((1 + 1)/2, (7 + 9)/2) = (1, 8)

Therefore, the coordinates of the midpoint M are (1, 8).

Malik can spend no more than $24 to buy pecans and cashews. He will pay $6 per pound for pecans and $8 per pound for cashews. Which graph best represents the number of pounds of pecans and the number of pounds of cashews Malik can buy?

Answers

Answer:

Graph D

Step-by-step explanation:

We can look at the number of pounds of pecans and cashews, shown on the x- and y-axis, respectively.

All of the graphs have an x-intercept of (4, 0), meaning that the number of pecans being bought is 4 lbs.

Since pecans cost $6 per lb, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

$6 · 4 lbs = $24

Let's look at the y-axis to see how many lbs of cashews Malik can buy. The y-intercept is (0, 3) for all graphs, meaning that 3 lbs of cashews are being bought.

Since cashews cost $8 per pound, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

$8 · 3 lbs = $24  

The shaded area represents the values that can be used in the problem. Since we want $24 or less, the shaded region has to be below the line.

Malik can spend no more than $24, so the line should be solid since this means that the values the line touches are inclusive. 4 lbs of pecans and 3 lbs of cashews should be inclusive.

The graph that has all of these properties is Graph D.

You and your friends decide to go out to
dinner and celebrate your birthday. The
meal costs $168.34. The sales tax is 5%
and your waiter was okay so you want to
leave a 15% tip. What was the total bill?
Round to the nearest cent.

Answers

The total bill of the dinner to celebrate birthday including sales tax and tip to the nearest cent is $202.01

What was the total bill?

Cost of the meal = $168.34

Sales tax = 5% of $168.34

= 0.05 × 168.34

= $8.417

Tip = 15% of $168.34

= 0.15 × 168.34

= $25.251

Total bill = Cost of the meal + Sales tax + Tip

= $168.34 + $8.417 + $25.251

= $202.008

Hence, the total bill is $202.01 to the nearest cent.

Read more on sales tax:

https://brainly.com/question/9437038

#SPJ1

The sum of two numbers is 52 and the difference is 18. What are the numbers?

Answers

Answer:

17 and 35

Step-by-step explanation:

x + y = 52

x − y = 18

Add the equations together:

2x = 70

x = 35

Substitute into either equation:

y = 17

Find the condition that one root of x² + sx+F= 0 May be
Five times the other

Answers

Let α be one root of the quadratic equation x² + sx + F = 0. If β is the other root, then we have: Therefore, the condition is that the sum of roots of the quadratic equation x² + sx + F = 0 must be zero.

Let α be one root of the quadratic equation x² + sx + F = 0. If β is the other root, then we have:

α + β = -s (sum of roots)

αβ = F (product of roots)

We are given that α is five times β, i.e., α = 5β. Substituting this in the first equation, we get:

5β + β = -s

6β = -s

β = -s/6

Using this value of β, we can find the corresponding value of α:

α = 5β = -5s/6

So, the condition for one root to be five times the other is:

α = 5β or -5s/6 = 5(-s/6)

s = 0

Therefore, the condition is that the sum of roots of the quadratic equation x² + sx + F = 0 must be zero.

Learn more about sum of roots here:

https://brainly.com/question/28023588

#SPJ11

100 points pls hurry and mark brainly


Each pail of plaster covers 95 square feet of ceiling. How many pails of

plaster would you need to buy to cover the ceiling of a room with walls 15

feet long?

Answers

Answer:

2.02

Explanation:

Each pail of plaster covers 97 Square feet of ceiling

The ceiling of the room is 14 ft long

= 14×14

= 196

Therefore the pail of plaster that will be needed to cover the rooms can be calculated as follows

= 196/97

= 2.02

Find the value of x in the figure.

Answers

x= 180°-80-35
so X = 65°
Other Questions
an instructor implements an overlearning strategy by establishing a performance criterion, determining the amount of practice time the learner needs to attain that criterion, and then requiring some percentage of that practice time as extra practice. group of answer choices true false identify a key difference between wildlife biology conducted in the field and biomedical research: the animals studied are themselves the focus of the research. wildlife research is never conducted in a laboratory setting. wildlife biologists can face health risks. attending veterinarians are required to accompany the researchers into the field. (g) governmental funds report capital outlays as expenditures. in the statementof activities, the costs of capital assets are allocated over their useful lives as depreciation. the amount by which capital outlays in the current period exceeded depreciation is Read the thesis statement and notes.Thesis: The Supreme Court decision in Loving v. Virginia was an important victory for civil rights. Notes:1. The Lovings were a married couple; she was African American and Native American and he was White.2. The Supreme Court ruled that it was illegal to prevent people of different races from marrying. 3. Richard Loving was a carpenter and construction worker.4. My grandmother was friends with one of the Lovings children.Select the option that would improve the quality of the paper by making the thesis and notes more closely aligned.discard note 1change thesis statement to include all notesdiscard notes 3 and 4discard note 2 what is the abdominal region that lies immediately to the right and left of the umbilical region? a "vrb" wind entry in a terminal aerodome forecast (taf) will be indicated when the wind is Can someone help me with this writing assignment please? the individual processes that give meaning to the stimuli confronting consumers are a. an attitude. b. a perception. c. a cognition. d. a motivation. Evaluate the surface integral. s z^2 ds, S is the part of the paraboloid x = y^2 + z^2 given vy x 4 which of the following statements is correct? a. group decision making is superior to individual decision making b. the nature of the decision determines the relative superiority of groups versus individuals c. individual decision making is superior to group decision making d. the superiority of group versus individual decision making is undetermined Geoffrey Choucers The Canterbury Tales is a collection of stories told by group of pilgrims that traveled to th shrine of Thomas Becket in Canterbury. The tales offer a very vivid and diverse protrayal of life in the Middle Ages, Including the liives of the middle class. Its divisions, religious beliefs , gender roles, and moral values The middle class during the Middle Ages were Merchants , tradespeople , lawyers and clerks. They were neither Daniil KharmsIn the short story "The Dream", the main character struggles to tell what is fantasy and what is reality when dreaming. What was your most realistic dream and what about the dream made it feel so real? locke believes that we have nothing in our minds that did not come from _____. chimpanzees, bonobos, and gorillas have a part of the brain that is ____. A 60 g sample of iron reacts with 26 g of oxygen to form how many grams of iron oxide? Express your answer using two significant figures. Enter the value for x that makes the equation 13x+22=x-34+5x true Sarah spends 30 minutes reading,20 minutes writing,and 20 minutes doing her math. How many minutes does she spends on school work in all juan has been part of a postoperative cardiac exercise program since suffering a major heart attack six months ago. although he no longer needs to attend, he continues to participate in the program because he enjoys the friendships he developed with other program participants. juan's participation reflects which psychological benefit of physical activity? find the general solution of the given differential equation. (x2 4) dy dx + 4y = (x + 2)2 Find the derivative of the functionthank you guys sm