what is the intermediate step in the form of (x+a)=b for x^2+5x+11=13x

Answers

Answer 1

To find the intermediate step in the form of (x+a)=b for the equation x^2+5x+11=13x, we need to first move all the terms to one side of the equation.

x^2+5x+11 = 13x

x^2 - 8x + 11 = 0

To solve this equation, we can factor it.

x^2 - 8x + 11 = 0

(x-11)(x-1) = 0

So, we have two solutions for x: x = 11 and x = 1

To find the intermediate step in the form of (x+a)=b, we can write each solution as (x+a)=b

x = 11, so (x+(-11)) = 11

x = 1, so (x+(-1)) = 1

So, the intermediate step in the form of (x+a)=b for the equation x^2+5x+11=13x is:

(x-11) = 11 and (x-1) = 1


Related Questions

How do you find the missing length of a triangle using sine?.

Answers

To find the missing length of a triangle using sine it is essential to know at least one side's length

One needs to know the lengths of at least one side and one angle of the triangle in order to use the sine function to get the missing length. In a right triangle, the sine function describes the relationship between the hypotenuse's length and the side length that is opposite the angle.

There are certain steps as to how the sine function determines a triangle's missing length. These steps are -

Firstly, the Sin(angle) which is equal to the opposite/hypotenuse is the sine formula to be written out.Next, it is required to choose the side whose length is known and the angle that it naturally forms.The missing side can be found by substituting the known values into the formula.

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How do you solve a system of equations by 8th grade?.

Answers

There are different methods to solve a system of equations, but some common ones that are typically taught in 8th grade are graphing, substitution and elimination.

Graphing: This method involves plotting each equation on a coordinate plane and then finding the point of intersection, which represents the solution of the system.

Substitution: This method involves solving one equation for one of the variables and then substituting that expression into the other equation. This will give you an equation with only one variable, which you can then solve.

Elimination: This method involves adding or subtracting the equations in such a way that one of the variables is eliminated. This will give you an equation with only one variable, which you can then solve.

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Last football season the starting quarterback of a professional football team completed just 55% of his attempted passes. The owner of this team has given the quarterback the ultimatum that he must improve his completion percentage during the off season or he will be fired. The owner plans to use a random sample of 50 passing attempts at the end of spring training to test the hypotheses where p represents the true proportion of passes this quarterback can complete after training during the off season. If the owner wants to minimize the chance of firing the quarterback when he really has improved, should he use a significance level of 0. 01 or 0. 10

Answers

The owner should use a significance level of 0.10 to minimize the chance of firing the quarterback when he has improved.

The owner should use a significance level of 0.10, not 0.01 when evaluating the quarterback's performance. The significance level is the probability of making a type I error, which is rejecting the null hypothesis when it is true. A lower significance level (e.g. 0.01) means that the owner is setting more stringent criteria for accepting the null hypothesis, and therefore is more likely to reject it and potentially fire the quarterback, even if he has improved.

On the other hand, a higher significance level (e.g. 0.10) means that the owner is setting less stringent criteria, and therefore is less likely to reject the null hypothesis and fire the quarterback if he has improved. In this case, the owner wants to minimize the chance of firing the quarterback when he has improved, so it is better to use a higher significance level of 0.10.

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Select the correct answer. Consider the graph of f(x) given below. A curve labeled f of x declines through the points (negative 4, 7), (negative 3, 6), (negative 2, 5), (0, 3), (2, 1), (3, 0), (4, negative 1), (5, negative 2), (6, negative 3) and (7, negative 4) on the x y coordinate plane. The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)? A. g(x) = f(x) - 5 B. g(x) = f(x) - 2 C. g(x) = f(x - 5) D. g(x) = f(x + 2)

Answers

The functions could represent g(x) is C. g(x) = f(x - 5)

How to find the function?

Using the general equation as Witten which can be used to find the y intercept of the line

g(x) = f(x) + b

The g(x) has intercept of y=-2,

Then the  y-intercept of f(x) is at y=3

If we find the difference between both y-intercepts, we have

Recall that the y-intercept is the point where the graph intersects the y-axis

( -2 -3) = -5

This implies that the intercept of the line is -5

Then b=-5

Hence, g(x) = f(x - 5) is correct option for the function

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–3m = –786




10 POINTS AND BRILLIANTEST

Answers

Answer: I think it’s m= 262

Step-by-step explanation:

Answer:

m = 262

Step-by-step explanation:

Now we have to,

→ find the required value of m.

The equation is,

→ -3m = -786

Then the value of m will be,

→ -3m = -786

→ m = (-786)/(-3)

→ m = 786/3

→ [ m = 262 ]

Hence, the value of m is 262.

evaluate the function for x=5:f(x)= 2x-4/3

Answers

Answer: 26/3

Step-by-step explanation:

[tex]f(x) = 2x - \frac{4}{3} \\f(5) = 2(5) - \frac{4}{3} \\f(5) = 10 - \frac{4}{3} \\f(5) = \frac{30}{3} - \frac{4}{3} \\f(5) = \frac{26}{3}[/tex]

In this question we need to evaluate the function f(x) = (2x-4)/3 for the question to be solved with perfect answer.

Evaluating a function means:

Replaces or substitutes each variable with the specified number or expression.

Now, according to question we have to replace x with number 5 so we can get the desired solution.

First evaluate by replacing and substituting the function for variable x with number 5 which is x=5. Hence by replacing the given number gives us the following equation

f (5) = (2*5-4)/3

Now, simplifying

f (5) = (10-4)/3

f (5) = (6)/3

f (5) = 2

Hence, the correct answer for this is 2.

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What is the slope and y-intercept of y =- 9?.

Answers

The slope and y-intercept of y=-9 is 0 and (0,-9).

Linear equations can be written in the form y=mx+b, where:y is a y coordinate on the line m is the slope of the line.A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Change y=9 in the slope-intercept form: y=mx+c, where m is the slope of the line and c is the y-intercept, y=0(x)+(-9),

Comparing the equation y=0(x)+9 with the equation y=mx+c, we get that m=0. It is a horizontal line. The slope = 0.

The line cuts the y-axis at the point (0,-9), The y-intercept is at the point  (0,-9)

Hence, the slope and y intercept is 0 and (0,-9).

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How is a complex number expressed?.

Answers

Complex numbers are those expressed as a+ib, where a, b are real numbers and I is a fictitious number called a "iota." I is equal to (-1).

A complex equation is one that needs complex numbers to be solved. Complex numbers are those that have both real and fictitious components. It is spelled out as follows: Both the letters A and B in the previous equation stand for numerical values. 4+3i is an example of a complicated number.

Complex issue solving is a set of self-regulated psychological processes and activities that are used to achieve ill-defined goals that cannot be accomplished through typical behaviors. Numerous strategies and creative knowledge combinations are needed.

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QUICK PLEASE I REALLY NEED HELP !!!

Answers

The transformation will map ΔABC onto image ΔA'B'C' is, a reflection in the line y = x. So Option C is correct

What is a triangle?

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

If anyone of the triangle is 90° then it is called as right angle triangle

Given that,

Two triangles,

First,   ΔABC

Whose coordinates are A(1,3), B(1, 6), C(4, 6)

Second,  ΔA'B'C'

Whose coordinates are A'(3, 1), B'(6, 1), C'(6, 4)

There is only one transformation is  possible,

Which is a reflection in the line  y = x

Because,  the distance of the points will be equal from the line y = x

In comparison of corresponding points

Hence, the transformation is a reflection in the line y = x

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Please reduce each fraction and give the variable values to make the solution work.

Answers

Answer:

10

Step-by-step explanation:

hi

Can you complete the equation how many fifths are equivalent to 6/10 this is just for fun

Answers

The number of 5ths in the fraction, 6/10 are 3, or there are 3 1/5s in 6/10


What is a fraction?

A fraction is a representation of a part of a whole. A fraction consists of a number (the numerator) known as the dividend, being divided by another number, (the denominator), also known as the divisor, arranged one over the other.

The expression of a fifth is 1/5

The number of fifths in 6/10 can be obtained by dividing 6/10 by 1/5 as follows;

6/10 ÷ 1/5 = 3

The number of fifths in 6/10 are 3 fifths

The number of fifths in 6/10 can also be obtained by simplifying the fraction, 6/10 as follows;

6/10 = (2 × 3)/(2 × 5) = (2/2) × (3/5)

2/2 = 1, therefore;

6/10 = 1 × 3/5 = 3/5

3/5 = 3 × 1/5

Therefore;

6/10 = 3/5 = 3 × 1/5

6/10 = 3 × 1/5

3 × 1/5 = 6/10

There are three 1/5s (fifths) in 6/10

The number of fifths in 6/10 are three

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On a map, tony stark's house and spiderman's house are 3.5 inches apart. The map legend says that each inch represents four miles. How far apart are their houses?

Answers

Answer:14

Step-by-step explanation: This question is asked oddly but I believe it's still 14

3.5 x 4 = 14

Suppose that the cost to ship an envelope is a function of its weight. For any
envelope up to 1 ounce, the charge is a stamp that costs $0.47. For an envelope over
1 ounce and up to 2 ounces, the charge is $0.68. Finally, for an envelope over 2
ounces and up to 3 ounces, the charge is $0.89. What are the practical domain and
range of this function?

Answers

The set of -values that are appropriate in the given situation is known as the practical domain. Solution: F (x) = 2 x is the function's formula.

What is a practical domain of a function?

You are not accounting for or measuring any rainfall that occurred prior to the storm's onset, thus there is a total of 0 inches of precipitation at that time. Six and a half hours are spent in the storm.

Example :

Miami, Florida, experiences heavy rainfall due to a powerful hurricane. A 2 inch per hour downpour is occurring. In 6 and a half hours, the storm is over. The total amount of rain that has fallen throughout time should be modeled mathematically. The function is plotted. For this situation, identify the practical domain. The set of -values that are appropriate in the given situation is known as the practical domain.

Solution: Since there was no rain measured or included before the storm began, the function is as follows:

f(x)= 2x

There was 0 inches of rain at the moment the storm began. Six and a half hours are spent in the storm. f(6.5) = 2(6.5) = 13 inches of rain had been recorded at 6.5 hours, or so. It follows in words what the domain and range are:

Domain :

All real numbers between and including 0 and 6.5 hours.

Range :

All real numbers between and including 0 and 1.3 inches.

Domain and range can be expressed more easily with the help of some helpful notation, such as the following:

Domain { x∈R,0≤ x ≤ 6.5} [0,6.5]

Range { x∈R,0≤ x ≤ 6.13 [0,13].

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You are planning a three-day trip to Seattle, Washington, in October. Use the fact that on each day, it could either be
sunny or rainy, and that each day is equally likely to be sunny or rainy to answer the following question.
What is the probability that it rains all three days?

Answers

So the probability that it is sunny on a day is P(S) = 0.5, and the probability that it is rainy is P(R) = 0.5
The probability that it is sunny on all 3 days is then 0.5^3 = 1/8 = 0.125
The probability that it rains on at least one day is then 1 - 1/8 = 7/8 = 0.875

Good luck!

A mall box hold 60 hat. A large box hold180% a many hat a the mall box. How many hat doe the large box hold

Answers

From probability of occurence of events the large box holds 180 hats.

The probability of an event is the proportion of favorable outcomes to all other potential outcomes.The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The following formula can be used to determine how likely an event is to occur.

Here, probability can be used. When throwing coins, rolling dice, or drawing a card from a deck of cards, probability is employed to forecast the results.

The probability is classified into theoretical probability and experimental probability.

Probability(Event) = Positive Results/Total Results = x/n

Here, in the mall box, are 60 hats.

And a big box holds 18% more hats than the box provided by the mall.

So, 180/100 ×60 = 180

Therefore, from probability of occurence of events the large box holds 180 hats.

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У саду ростуть 500 дерев. Яблуні становлять 24% всіх
дерев, груші — 115 % кількості яблунь, вишні - 5/6 кількості
груш, а решта дерев-сливи.
Скільки сливових де-
рев росте в саду?

Answers

В саду росте 500 дерев, з яких 24% є яблуні, що дає 120 яблунь. Груші становлять 115% кількості яблунь, тобто 135 груш. Вишні становлять 5/6 кількості груш, тобто 112,5 вишні. Решта дерев - сливи становлять 500 - 120 - 135 - 112.5 = 142.5 сливових дерев.

[tex]\it \dfrac{24}{100}\cdot500=24\cdot5=120\ apples\ trees\\ \\ \\ \dfrac{115}{100}\cdot120=\dfrac{115\cdot12}{10}=\dfrac{1380}{10}=138\ \ pears\ trees\\ \\ \\ \dfrac{5}{6}\cdot138=\dfrac{5\cdot138}{5}=\dfrac{690}{6}=115\ cherries\ trees\\ \\ \\ 500-(120+138+115)=500-373=127\ plums\ trees[/tex]

0.4 how it come
[tex]10 \div 10[/tex]

Answers

We need to remove the decimal and multiply and divide by 10, resulting in 0.4/1 x 10/10 = 4/104/10. This can be further reduced to 2/5, so 0.4 as a fraction is 4/10 or 2/5.

What is fraction?

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fraction" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.

In Ancient Rome, fractions were only written using words to describe a part of the whole. In India, the fractions were first written with one number above another (numerator and denominator), but without a line. It was the Arabs only, who added the line which is used to separate the numerator and the denominator.

First, we need to remove the decimal.

For that, we multiply and divide by 10 as there is only one digit after the decimal.

We get, 0.4/1 x 10/10 = 4/10

4/10 can further be reduced to 2/5

Hence, we can say that 0.4 as a fraction is 4/10 or 2/5.

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What is the inverse of the logarithmic function f/x log9 X?.

Answers

The inverse of the logarithmic function f(x) = log9x is f^-1(x) = 9^x.

The inverse of a function is a new function that "undoes" the original function. For a logarithmic function, such as f(x) = log9x, the inverse is an exponential function.

To find the inverse of f(x) = log9x, you can follow these steps:

Switch the roles of x and y in the original function to make y the subject of the formula.

log9x = y

Replace the logarithm function with its inverse function, the exponential function.

9^y = x

Switch x and y back to their original roles in the equation.

x = 9^y

It's worth noting that for this logarithmic function, the domain of the function is x > 0 and the range is y > 0, and the inverse function will have its domain as y > 0 and range as x > 0. Also, the base of the logarithm 9, is a positive real number, different than 1, this ensures that the logarithm function is defined for all x > 0, for b = 1 it would not be defined for x = 1.

So the inverse of the logarithmic function f(x) = log9x is f^-1(x) = 9^x

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On a scale drawing, 1 2 1 2 inch = 1 foot. A rectangular room measures 6 inches by 11 inches on the drawing. What is the area of the actual room?

Answers

The requried area of the actual room is given as 264 foot².

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
As given in the question,
1/2 inch = 1 foot
1 inch = 2 foot

Now,
A rectangular room measures 6 inches by 11 inches on the drawing.
= 6 inch × 11 inch
= 6 (2 foot) × 11 (2 foot)
= 12 × 22 foot²
= 264 foot²

Thus, the requried area of the actual room is given as 264 foot².

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Given: AECF is a rhombus and \overline{EB} \cong \overline{FD}. EB ≅ FD . Prove: \angle FCB \cong \angle DCE∠FCB≅∠DCE.

Answers

The proof that ∠FCB≅∠DCE is shown below

How to complete the proof

Given that AECF is a rhombus, opposite angles of the rhombus are congruent.

This is represented as

∠EAF = ∠ECF

Also, given that EB ≅ FD, we can conclude that:

∠EBF = ∠DFC

This is by the definition of congruent segments having equal corresponding angles

Add the angles

∠CEB + ∠EBF = ∠CEB + ∠DFC = 180°

Recall that

Since ∠CEB = ∠AEF

So, we have:

∠AEF + ∠EBF = ∠AEF + ∠DFC = 180°

Hence, ∠FCB=∠DCE.

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A microscope shows an image of an object that is 60 times the object's actual size. So, the
scale factor of the enlargement is 60. An insect has a body length of 5 millimeters. What is the
body length of the insect under the microscope?
30 millimeters
300 millimeters
300 centimeters
3,000 millimeters

Answers

If the body of insect has length of 5m, then in microscope of a scale factor of 60, it will become 300 millimetres

What is scale factor?

Scale factor is a multiplying entity that falls between (0, infinity). Depending on the scale factor, an original figure may be increased or decreased.

Imagine that you have two circles that are visually identical. Even though both circles are described as identical, this does not guarantee equality. Their radii might differ. The one figure would be the scaled version of the other one.

Scale factors and the ideas of ratio and proportion go hand in hand. In ratio and proportion, we multiply or divide a given quantity to create a new one.

If the scale factor is 60

Then body length of insect under the microscope is

5 ×  60

= 300 millimetres

Thus, If the body of insect has length of 5m, then in microscope of a scale factor of 60, it will become 300 millimetres

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Complete the following:

Write an exponential expreion: chooe a number between 0 and 10 to be the bae and another number between 0 and 10, different from the bae, to be the exponent. Label the bae and the exponent. Then write the exponential expreion in expanded form and tandard form. Eay

Answers

The base is 5 and the exponential is 2. This can be written in expanded form as 5 multiplied by 5, which is equal to 25. In standard form, this can be written as 52, which is shorthand for the same calculation.

Base: 5

Exponent: 2

Expanded form: 5 x 5

Standard form: 52

An exponential expression is a mathematical expression that uses the operation of exponentiation. In this expression, one number, known as the base, is raised to the power of another number called the exponent. To write an exponential expression, choose a number between 0 and 10 for the base and another number between 0 and 10, different from the base, for the exponent. Then, write the exponential expression in expanded form and standard form. For example, if the base is 5 and the exponent is 2, then the expression can be written in expanded form as 5 multiplied by 5, which is equal to 25. In standard form, this can be written as 52, which is shorthand for the same calculation. This expression can be used to represent any number or calculation that can be written in exponential form.

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What is the slope of y =- 5x?.

Answers

The slope of the line y = -5x is -5

The slope of the Line

The slope of a line is a measure of its steepness or incline. It is calculated as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. Mathematically, it is represented as "m" in the equation y = mx + b, where "m" is the slope, "x" and "y" are the coordinates of a point on the line, and "b" is the y-intercept.

If the slope is positive, the line rises as it moves from left to right. If the slope is negative, the line falls as it moves from left to right. If the slope is zero, the line is horizontal. If the slope is undefined, the line is vertical.

According to the question,

The slope of a line in the equation y = mx + b, where m is the slope of the line and b is the y-intercept, is the coefficient of x.

In the equation y = -5x, the slope of the line is -5.

The slope of a line represents the steepness or the "slant" of the line. It is the ratio of the change in y to the change in x. In the equation y = -5x, the slope of the line is negative, which means that the line is slanting downwards as we move from left to right on the graph. The absolute value of the slope gives the steepness of the line, in this case, the line is steep because the absolute value of -5 is 5.

A negative slope indicates that the line is decreasing and for every 1 unit increase in the x-axis, the y-value will decrease by 5 units. Conversely, for every 1 unit decrease in the x-axis, the y-value will increase by 5 units.

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Garret needs a fitness coach. Coach A is offering her services for an initial fee of $200 in addition to $80 per hour. Coach B is offering his services for an initial $230 in addition to $70 per hour. When will the two coaches charge the same amount, and how much will it cost?​

Answers

Both coaches will charge $440 after 3 hours of coaching.

To find when the two coaches will charge the same amount, we need to set up the equation with help Compound Interest Formula:-

Where:-

Cost of Coach A = Cost of Coach B

200 + 80x = 230 + 70x

where x is the number of hours of coaching.

To solve for x, we can subtract 200 from both sides and 230 from both sides:

80x = 30 + 70x

10x = 30

x = 3

So, the two coaches will charge the same amount after 3 hours of coaching.

To find out how much it will cost, we can substitute 3 for x in the equation for either coach:

Cost of Coach A = 200 + 80x = 200 + 803 = $440

Cost of Coach B = 230 + 70x = 230 + 703 = $440

Therefore, both coaches will charge $440 after 3 hours of coaching.

It's important to note that this calculation assumes that the cost of the coaches is based solely on the hourly rate and initial fee, and does not take into account any other factors such as discounts, taxes, or additional services offered by the coaches.

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Can someone explain how to do it

Answers

I think the answer is 110– if I’m correct, the sun of all angles in that shape have to equal up to 360 so you add what you have and subtract from 360. Hope it helps.

How do you show a solution to a system of inequalities?.

Answers

The ordered pair that is a solution to all system inequalities is the linear inequality's solution, and the linear inequality's graph is the system's solution graph.

Shade the half-plane that satisfies the inequality and graph one line at a time in the same coordinate plane.

How can one tell if an inequality system has a solution?

The system does not have a solution when two inequalities have parallel lines and the shaded areas do not overlap (i.e., the opposite areas are shaded). As a result, neither of the inequalities can be proven true at any given coordinate point.

How can you tell if a system has a fix?

Solution to a System of Linear Equations To determine whether a point is a solution to a system, we will either look for the point of intersection of two lines on a graph or look for the point's algebraic location on both lines.

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20 POINTS! TRUE OR FALSE! Available on Chegg.

In the statement ~(M ⊃ X)~) governs the simple statement M

Tilde (~)=negation
Horseshoe (⊃)=conditional

Answers

The statement "In the statement ~(M ⊃ X)~) governs the simple statement M" is false

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

In the statement ~(M ⊃ X)~) governs the simple statement M.

In logic and binary, the negation of an implication (M ⊃ X) is written as ~(M ⊃ X), which is read as "not (M implies X)".

This statement does not govern or control the simple statement M. The simple statement M can be true or false independently of the negation of the implication.

In other words, the truth value of ~(M ⊃ X)is dependent on the truth values of both M and X, not just M.

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Please help me with 4 and 5!!!

Answers

Answer:

4. [tex]4^{x}[/tex] - [tex]2x^{2}[/tex] + 5x - 19

5. -[tex]4x^{3}[/tex] + [tex]x^{2}[/tex] - x - 5

Step-by-step explanation:

Find f - g

4. f(x) = 4^x - 7 and g(x) = 2x^2 - 5x + 12

f(x) - g(x) = 4^x - 7 - (2x^2 - 5x + 12)

distribute the -1 to 2x^2 - 5x + 12

4^x - 7 - 2x^2 + 5x - 12

combine like terms

4^x - 2x^2 + 5x - 19

5. f(x) = 3x - 8 and g(x) = 4x^3 - x^2 + 4x - 3

f(x) - g(x) = 3x - 8 - (4x^3 - x^2 + 4x - 3)

distribute the -1 to 4x^3 - x^2 + 4x - 3

3x - 8 - 4x^3 + x^2 - 4x + 3

combine like terms

-4x^3 + x^2 - x - 5

Are all triangles 180 degrees?.

Answers

Answer:

Every triangle has interior angles that add up tp 180°

Step-by-step explanation:

how far above the ground is the ladder

Answers

The length from the point the ladder touche the wall from the ground 13 feet approximately to the nearest whole number derived using the Pythagoras rule

What is the Pythagoras rule

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

We shall represent the length of the from the wall where the ladder touches the wall to the ground with the letter x, such that by Pythagoras rule we evaluate for the hypotenuse as follows;

14² = x² + 5²

196 = x² - 25

x² = 196 - 25 {subtract 25 from both sides}

x² = 171

x = √171 {take square root of both sides}

x = 13.08

Therefore, the ladder is 13 feet approximately to the nearest whole number from the ground to where it touches the wall using the Pythagoras rule

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