The table below represents a proportional relationship. The unit rate of the relationship is

Answer:

[tex]-12x^4-11x^2-2[/tex]

Explanation:

Step 1 - Expand

[tex](-3x^2-2)(4x^2+1)[/tex]

[tex]-12x^4-3x^2-8x^2-2[/tex]

Step 2 - Combine like terms

[tex]-12x^4-3x^2-8x^2-2[/tex]

[tex]-12x^4-11x^2-2[/tex]

Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].

Answer:

On Edge, the answer is D. 31x2 – 2.

Answer:

6

Step-by-step explanation:

6xa is 6a, just like how 2xa is 2a as shown

Answer:

False

Step-by-step explanation:

(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents

(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents

(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents

Step-by-step explanation:

The total income would be $650 million.

Answer:

4

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4

Answer: The distance of this segment is 4 units

Step-by-step explanation:

Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:

d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²

We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.

d = √((-5) - (-1))² + ((-4) - (-4))²

d = √(-4)² + (0)²

d = √16 + 0

d = √16

d = 4

This furthermore proves that the distance between the two segments is 4.

Hope this helps! :)

Answer:

Look at the attachment

The equation is an illustration of a linear function.

The equation for the number of pages left in the book is [tex]b =p- rd[/tex]

The total number of pages is:

[tex]Total = p[/tex]

The daily rate is:

[tex]Rate = r[/tex]

So, the number of pages read in d days is:

[tex]Pages = Rate \times Days[/tex]

This gives

[tex]Pages = r \times d[/tex]

Multiply

[tex]Pages = rd[/tex]

The number of pages left (b) is then calculated as:

[tex]b =Total - Pages[/tex]

So, we have:

[tex]b =p- rd[/tex]

Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]

Read more about linear equations at:

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Answer:

12 =x

There is one solution

Step-by-step explanation:

4x + 8 = − 2 − 2 + 5x

Combine like terms

4x+8 = -4+5x

Subtract 4x from each side

4x-4x+8 = -4+5x-4x

8 = -4+x

Add 4 to each side

8+4 = -4+4+x

12 =x

Answer: only one 4x+8=-4+5x

4x-5x=8+4

-1x=12

x=-12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

12 - (3+4)

12 - 7

12 - 7 = 5

5

Answer:

5

Step-by-step explanation:

12 - (3 + 4)

12 - 7

12 - 7 = 5

Answer:

d, both

Step-by-step explanation:

both separe two identical halves :)

Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.

In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.

Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

To learn more on Coordinate system click:

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Answer:

(√10 +2√8)(√10 -2√8)=

(10 -8√5 + 8√5 -32)

10+0-32

10-32

= -22

Hope this helps.

Answer:

The other person is right, A. -22

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

7x + 2 > 30

Subtract 2 from each side

7x + 2-2 > 30-2

7x > 28

Divide each side by 7

7x/7 > 28/7

x > 4

Answer:

it is c

Step-by-step explanation:

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

Answer:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

Step-by-step explanation:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

2) 12/2+7

6+7

13

3) 8y-(22)

Terms, 8y, 22

Operation, Subtraction

Word Expression, 22 less than the product of 8 and y.

Answer:

number 2 is 13       and      number 3 is-2.75

Step-by-step explanation:

-2.75

Answer:

The fact that the data is univariate means that there is only one variable – age, and the fact the data is numerical means it involves numbers – age.

I'm doing the test and this is what I put for my answer

This question is not properly written

Complete Question

When the two crews start working together, what part of all

the garbage bins will the first garbage truck empty?

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Options

• 0.6

• 0.5

• 0.7

Answer:

0.6

Step-by-step explanation:

Let us say that the total hours worked by both trucks = t hours

Number of hours worked by first truck = 5 hours

Number of hours worked by second truck = 8 hours

Let 1 =  total number of bins.

For the 1st truck the rate at which work was carried out is

(1 ) ÷ (5 ) = 1/5

For the 1st truck the rate at which work was carried out is

( 1 ) ÷ (8 ) = 1/8

Then,

(1/5 + 1/8) × t =1

(1/5 + 1/8) × t= 1

(13/40)t = 1

t = 1÷ 13/40

t = 1× 40/13

t = 40/13 hours.

Hence, the total hours worked by both trucks = 40/13 hours

the part of all

the garbage bins that the first garbage truck will empty is calculated as:

1/5 × 40/13 hr

1/5 × 40/13

= 0.6153846154

Approximately = 0.6

Therefore, when the two crews start working together, the part of all

the garbage bins that the first garbage truck will empty is 0.6 of the total work done.

Answer:

A) 0.6

Step-by-step explanation:

Answer:

x = 45°

Step-by-step explanation:

Look at the picture*

Answer:

Sample Answer:   Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Answer: Subtituting CD =5 in AB + CD = JK

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

• AB + CD = JK (equation 1 )

• CD = 5 (equation 2)

So, we simply have to combine the equations.

Substituting CD =5 in equation 1:

AB + CD = JK

AB+(5) =JK

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]

                    = -[tex]\frac{16}{8}[/tex]

                    = -2

and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]

         = [tex]-\frac{40}{8}[/tex]

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

Answer:

30 square units

Step-by-step explanation:

i did this problem before.

its C not A because

For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Answer: The answer is C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Step-by-step explanation:

In a linear model of the form y = mx + b, m is the slope and b represents the y-intercept.

In this situation, 0.29 is the slope.

The slope is the ratio of the change in y to the change in x.

In context, the slope indicates an increase of 0.29 miles per gallon per year after 1970.

Therefore, the slope means that for each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

AnswerD. 64

Step-by-step explanation:

Answer:

D.) 64

Step-by-step explanation:

Answer:

[tex]\mathrm{D}[/tex]

Step-by-step explanation:

[tex]6x+5y=-2[/tex]

[tex]6(-2)+5(2)=-2[/tex]

[tex]-12+10=-2[/tex]

[tex]-2=-2[/tex]

[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (4x - 1)²(4 - x⁵)⁴

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

x=-3

Step-by-step explanation:

\left(5^3\right)^2\cdot 5^{x+4}=5^7

Apply\:exponent\:rule

x+10=7

x=-3

Answer:

x = -3

Step-by-step explanation:

(5^3)^2 · 5^(x+4) = 5^7

First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.

(5^3)^2 = 5^(3·2) = 5^6

We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:

5^6 · 5^(x+4) = 5^7

We can divide 5^6 from both sides to get:

5^(x+4) = (5^7)/(5^6)

When exponents of like terms are divided we can subtract the exponents.

5^(x+4) = 5^(7-6)

5^(x+4) = 5^1

This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:

5^x · 5^4 = 5^1

We can divide both sides by 5^4.

5^x = (5^1)/(5^4)

We simplify the right side by the same way we did earlier when we divided exponents:

5^x = 5^(1-4)

5^x = 5^-3

We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:

x = log₅(5^-3)

If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.

So x = -3

Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:

x = -3(log₅5)

x = -3(1)

x = -3

Either way works.