Solve each equation. Check the solution. y/y+1 = 2/3

 The full quadratic expression is expressed as follows:

x² + 8x + 16

An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.

  Equations can be graphed, just like a function.

   To solve this problem we must complete square in the expression, it is necessary to note that perfect square trinomial has the form of:

(a + b)² = a² + 2ab + b²

x² + 8x + ?

8x = 2xb

2b =8

b = 4

   Let's complete the square

x² + 8x + (4)²

x² + 8x + 16  

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The sum of the series of three numbers, which includes the counting number, n, the number before n, and the number after n is 3•n

A series of a sequence of numbers is the sum of the numbers up to a specified term.

The given parameters;

n = A counting number

Counting numbers are the natural numbers which is the set of all positive integers.

Given that n is a counting number, we have that n is a positive whole number.

Which gives;

The whole number before n = n - 1

The whole number after n = n + 1

Which gives;

The sum of n, the whole number before n, and the whole number after n is part of a series and can be written mathematically as follows;

The sum = n + n - 1 + n + 1 = 3•n -1 + 1 = 3•n

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Answer:

it is the first option

Step-by-step explanation:

First step. Switch the greater than sign and turn the linear inequality to slope formula. after that graph the line. it is a dashed line due to not being greater than EQUAL to. if not equaled to then it is dotted. then you need a point as your testing point to see if it is shaded in that area. I chose to(0,0) but you could have chose any point. Once you plug in the zeros you will notice you get the false statement of 0 greater than 15. so obviously that is a no so you shade the opposite side of your testing point. phew

Answer:

A. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.

Step-by-step explanation:

Answer:

¯＼_(ツ)_/¯

Step-by-step explanation:

x(2x+4)+7(2x+4)[3x-6]=0

(2x^2 + 4x + 14x + 28)(3x-6)=0

(2x^2 + 18x + 28)(3x-6)=0

3x(2x^2 + 18x + 28) -6(2x^2 +18x + 28)=0

6x^2 + 54x^2 + 84x - 12x^2 - 108x - 168 =0

6x^2 + 54x^2 - 12x^2 + 84x - 108x - 168 =0

48x^2 - 24x - 168 =0 {quadratic equation}

The dimensions of the 1000-square-foot rectangular enclosure with the least amount of fencing should be 25ft by 40ft.

The amount of fencing needed can be calculated by getting the perimeter of each choice of dimensions.

Perimeter is defined as the distance that surround any two-dimensional shape. For a rectangle, the perimeter is given by the formula

P = 2l + 2w

Solving for the perimeter of each of the following choices:

F. 8ft by 125ft

P = 2l + 2w

P = 2(8) + 2(125)

P = 16 + 250

P = 266ft

G. 10ft by 100ft

P = 2l + 2w

P = 2(10) + 2(100)

P = 20 + 200

P = 220ft

H. 20ft by 50ft

P = 2l + 2w

P = 2(20) + 2(50)

P = 40 + 100

P = 140ft

J. 25ft by 40ft

P = 2l + 2w

P = 2(25) + 2(40)

P = 50 + 80

P = 130ft

The dimensions with the least perimeter will require the least amount of fencing.

Hence, a 1000 -square-foot rectangular enclosure, with dimensions 25ft by 40ft, will require the least amount of fencing.

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The curl of the vector field is:

[tex]=z e^x \hat{\imath}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}-7 x e^z \hat{k}[/tex]

So,

To find the curve:

[Vector Field] Set up [curl F]:

[tex]Curl F=\left|\begin{array}{ccc}\hat{1} & \hat{\jmath} & \hat{k} \\\frac{\partial}{\partial x} & \frac{\partial}{\partial y} & \frac{\partial}{\partial z} \\7 x y e^z & 0 & y z e^x\end{array}\right|[/tex]

Simplify [3x3 Matrix Determinant] with [curl F]:

[tex]Curl F=\left|\begin{array}{cc}\frac{\partial}{\partial y} & \frac{\partial}{\partial z} \\0 & y z e^x\end{array}\right| \hat{i}-\left|\begin{array}{cc}\frac{\partial}{\partial x} & \frac{\partial}{\partial z} \\7 x y e^z & y z e^x\end{array}\right| \hat{j}+\left|\begin{array}{cc}\frac{\partial}{\partial x} & \frac{\partial}{\partial y} \\7 x y e^z & 0\end{array}\right| \hat{k}[/tex]

Simplify [2x2 Matrix Determinant] with [curl F]:

[tex]Curl F=\left[\frac{\partial}{\partial y} y z e^x-\frac{\partial}{\partial z} 0\right] \hat{\mathrm{i}}-\left[\frac{\partial}{\partial x} y z e^x-\frac{\partial}{\partial z} 7 x y e^z\right] \hat{\mathrm{\jmath}}+\left[\frac{\partial}{\partial x} 0-\frac{\partial}{\partial y} 7 x y e^z\right] \hat{\mathrm{k}}[/tex]

The partial derivatives can be differentiated using the basic differentiation techniques listed above under "Calculus":

[tex]\begin{aligned}&\frac{\partial}{\partial y} y z e^x=z e^x \\&\frac{\partial}{\partial z} 0=0 \\&\frac{\partial}{\partial x} y z e^x=y z e^x \\&\frac{\partial}{\partial z} 7 x y e^z=7 x y e^z \\&\frac{\partial}{\partial x} 0=0 \\&\frac{\partial}{\partial y} 7 x y e^z=7 x e^z\end{aligned}[/tex]

When we substitute our partial derivative values, we get:

[tex]\begin{aligned}Curl F&=\left(z e^x-0\right) \hat{1}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}+\left(0-7 x e^z\right) \hat{k} \\&=z e^x \hat{\imath}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}-7 x e^z \hat{k}\end{aligned}[/tex]

So, we've discovered the curl of the given vector field.

Therefore, the curl of the vector field is:

[tex]=z e^x \hat{\imath}-\left(y z e^x-7 x y e^z\right) \hat{\jmath}-7 x e^z \hat{k}[/tex]

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The correct question is given below:
Consider the following vector field. f(x, y, z) = 7xyezi + yzexk (a) find the curl of the vector field.

Answer:

ggr44tt55ttffghhtft hyy

The hypotenuse of the right triangle is the diameter of the circle then the circumference of the circle is 17[tex]\pi[/tex] centimeters.

The midpoint is the point in the middle of a line segment in geometry. It serves as the segment and endpoint centroid because it is equidistant from both endpoints. The segment is cut in half.

The diameter of the circle is the hypotenuse of the right triangle.

Use the Pythagorean Theorem to find the diameter.

By using Pythagorean theorem we get

[tex]$$c^2 = a^2 +b^2[/tex]

substituting the values in the above equation, we get

[tex]$$c^2 = 8^2 +15^2[/tex]

simplifying the equation

[tex]$$c^2[/tex] = 289

c = 17

The diameter of the circle is 17 cm.

The circumference C of a circle is given by C = [tex]\pi[/tex] d.

Circumference of a circle = [tex]\pi[/tex]d

=  [tex]\pi[/tex] (17) = (17) [tex]\pi[/tex]

Therefore, the circumference of the circle is 17[tex]\pi[/tex] centimeters.

The correct question is:

Find the exact circumference of each circle by using the given inscribed or circumscribed polygon.

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The solution of expression is 8log6.

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

We have been given that expression as

⇒ log6⁸ + 2log6³ + log6¹² - log6²⁴​

[used property : logₐ(xⁿ) = nlogₐx]

⇒ 8log6 + 6×2log6³ + 12log6 - 24log6

⇒ 8log6 + 12log6³ + 12log6 - 24log6

⇒ 8log6

Hence, the solution is 8log6.

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Answer:

the answe r is I because it does not mirror the other side

The 32nd term of the arithmetic sequence AP is calculated to be 240.

In mathematics, an arithmetic progression (AP) is a list and possibly sequence of numbers where each term is collected by adding a sequence towards the term before it.

Finally, here is the answer to the question:

The following are the numbers with in displayed sequence:

23,30,37,44, ...........

The 32nd number in the series must be investigated because it contains 32 terms.

The common difference between two consecutive terms of an AP that are equal is denoted by the letter 'd.'

Let's consider the first term is'a₁' = 23.

Let's consider 'a₂' = 30 is the second term.

Let's consider the third term is 'a₃' = 37.

Substitute the values the above obtained equation; the 32nd term is-

d = a₂ - a₁  

Estimate the common difference;

d = 30 - 23

d = 7

Substitute the values in the next formula; the 32nd term is

The formula given will estimate the nth term equation;

nth term of an AP: an = a + (n - 1) d

Total number of terms ; n = 32

Initial term is a = 23

Common difference d = 7

Substitute the given values in nth term formula;

a₃₂ = a + (n - 1) d

a₃₂ = 23 + (32 - 1)(7)

a₃₂ = 23 + 217

a₃₂ = 240

Thus, the 32nd term value of the given arithmetic sequence is estimated to be 240.

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The amount left when Joshua played two basketball hoop games for $3.25 each and four rounds of air hockey for $1.75 each is A. $4.50.

From the information, Joshua purchased a game card for the arcade for a total of $18 and played two basketball hoop games for $3.25 each and four rounds of air hockey for $1.75 each.

Therefore, the amount left will be:

= Total amount with him - Amount spent

= $18 - (2 × $3.25) - (4 × $1.75)

= $18 - $6.50 - $7

= $4.50

The amount left is $4.50

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Answer:

4.50

Step-by-step explanation:

Answer: x=2, y=1

Step-by-step explanation:

The person had been deceased for 12 hours

According to given data,

Temperature of normal person had  98.6 degrees,

and the temperature of the person was 82 degrees

outside temperature  is 55 and

rate of decay is -0.026

The temperature of body drops :

98.6 - 82 = 16.6 degrees

[tex]\frac{16.6}{55}[/tex] ≈ 0.3

[tex]\frac{0.3}{0.026}[/tex]   ≈ 12 hours

therefore, 12 hours had the person been deceased

The rules for exponential decay is f(x) = a b x, where b denotes the decay factor. In the rule of exponential decay function, the decay rate as a decimal. The decay rate represent as a percentage. We change it into a decimal by simply reducing the percent and dividing it by 100.

The amount  reduces by a predetermined percentage at regular periods. The exponential decay formula is used to find  decrease in growth.

f(x) = a (1 – r)x is  form of generic

Where,

a = The initial value

r = decay rate

x = time period

Advantage of the exponential growth and decay graph

The domain is all Real numbers.

The range is all positive real numbers (exclude zero).

Graph has a y-intercept at (0,1). we know that zero power of any number is 1.

we get When b > 1, the graph increases. and 0 < b < 1, the graph decreases.

Has an asymptote (a line that the graph is very close, but never crosses). For  graph the asymptote is the x-axis (y = 0).

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Answer:

Step-by-step explanation:

9989898989

f (-1) =  12/5 the output for the given input .

How can you tell whether a function is linear or not?

f(x) = -12x/5

Put x = -1    ⇒   - 12 * -1 /5

                ⇒  12/5

Therefore f (-1) =  12/5

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The solution of the given linear equation in one variable 5(s -12) - 24 = 3(s + 2) is at s = 45.

According to the given question.

We have an equation.

5(s -12) - 24 = 3(s + 2)

Since, we have to solve the above linear equation in one variable.

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 5(s -12) - 24 = 3(s + 2) is given by

5(s - 12) -24 = 3(s + 2)

⇒ 5s - 60 - 24 = 3s + 6    ( by distributive rule)

⇒ 5s - 84 = 3s + 6

⇒ 5s - 3s = 84 + 6

⇒ 2s = 90

⇒ s = 90/2

⇒ s = 45

Hence, the solution of the given linear equation in one variable 5(s - 12) -24 = 3(s + 2) is at s = 45.

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The difference of two positive integers is sometimes positive.

For example the difference of 3 and 5 will give a value of -2. This is negative.

On the other hand, the difference of 10 and 6 is 4. Therefore, this is positive.

Therefore, the difference of two positive integers is sometimes positive. It can also be negative.

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Answer:

D, since 7 is less than 10.

Answer:

Step-by-step explanation:

4 revolutions per second

The value of the expression A will be negative 2.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

A = 5.5 - 2 + (-11.5) - (-6)

Simplify the expression, then the value of the expression A will be

A = 5.5 - 2 - 11.5 + 6

A = 11.5 - 13.5

A = - 2

The value of the expression A will be negative 2.

Your question was incomplete, the question probably was ...

Find the sum of the expression A=5,5-(+2)+(-11,5)-(-6).

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Answer:76

Step-by-step explanation:

you replace W with 22

4(22)-12

=88-12

=72

hope this helps! :)

Answer:

76

Step-by-step explanation:

4w-12

4(22)= 88-12

88-12

76

Hope It Helps

Sorry If I'm Wrong

There is a infinite number of real numbers from 1 through 5

The range is given as

1 to 5

The set of numbers is given as

Real numbers

Real numbers are any number that are not complex or imaginary numbers

This type of number covers all types of number that are not complex or imaginary numbers and it has an infinite count

Since the numbers cannot be counted, we can conclude that there is a infinite number of real numbers from 1 through 5

Hence, there is a infinite number of real numbers from 1 through 5

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For an analysis of variance comparing four treatments, msbetween = 12. The value of ssbetween is 36.

A measure of variability is the variance. It is determined by averaging the squared deviations from the mean. Your data set's variability is shown by its variance. The variance is greater in respect to the mean when the data are more dispersed.

Finding the mean will allow you to compute the population's variance (the average). Squaring the result after deducting the mean from each data point in the sample. The outcomes are squared to make the adverse findings positive.

Data points' deviations from the mean are quantified by their variance. Layman defines variance as the degree to which a set of data (numbers) deviates from the mean (average) value.

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Answer:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

This ensures that the lines will be parallel since two lines that are perpendicular to one another must also be parallel.

Two lines that meet or cross at right angles (90°) are known as perpendicular lines in geometry. The word "perpendicular" comes from the Latin "perpendicularis," which denotes a plumb line.

We can write two lines, AB and CD, as AB ⟂ CD if they are perpendicular to one another. The lines are denoted as being perpendicular by the ⟂ symbol.

The following list includes the two main characteristics of perpendicular lines.

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Answer: Evaluate

2(5+6q)

Apply the distributive property

2×5+2×6q

Multiply the terms

10+2×6q

Solution

10+12q

Step-by-step explanation:

hope this helps

Answer:

TWO PAIR OF VERTICAL ANGLES ARE

D,C

A,R

[tex]9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}[/tex] =[tex]= 11\sqrt{2} - 5\sqrt{7}\\[/tex]

Given an Simplification :

[tex]9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}Now, \sqrt{8} = \sqrt{2 \times 2 \times 2} = 2\sqrt{2}\sqrt{28} = \sqrt{2 \times 2 \times 7} = 2\sqrt{7}∴ 9\sqrt{2} - 3\sqrt{7} + \sqrt{8} - \sqrt{28}= 9\sqrt{2} - 3\sqrt{7} + 2\sqrt{2} - 2\sqrt{7}= 9\sqrt{2} + 2\sqrt{2} - 3\sqrt{7} - 2\sqrt{7}= 11\sqrt{2} - 5\sqrt{7}[/tex]

Simplifying rational expressions entails lowering the value of a rational expression to its simplest form. A rational expression is simplified in the same way that fractions are simplified. When the numerator and denominator of a rational number have no common factor other than 1, we consider it to be its simplified version in fractions. The same method may be used to simplify rational expressions; the only difference is that polynomials are included in the fraction.

The procedure for conducting operations on rational expressions is same to that for fractions.

Simplifying rational expressions means reducing their value to their most basic form. Rational expressions are simplified in the same manner that fractions are.

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