Latoya is a software saleswoman. Let represent her total pay (in dollars). Let represent the number of copies of English is Fun she sells. Suppose that and are related by the equation . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in Latoya's total pay for each copy of English is Fun she sells

The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.

We have given that,

The area of the rectangular portion of the window can be represented by the function A(x) = 2x^2 + 10x.

The area of the trapezoidal portion can be represented by the function A(t) = 6((x + 15) + (2x + 10)/2).

A(t)=6x+90+x+5

A(t)=7x+95

[tex]Area\ of \ the\ rectangle=Length \times width[/tex]

Therefore the function A(w) that can be used to represent the area of the entire window is

A(W)=A(t)+A(x)

A(W)=7x+95+2x^2 + 10x

A(W)=2x^2+17x+95

The function A(w) that can be used to represent the area of the entire window is 2x^2+17x+95.

To learn more about the rectangle visit:

https://brainly.com/question/25292087

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The answer is 17/20.. sorry for the first answer

Step-by-step explanation:

[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]

Answer:

[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Step-by-step explanation:

m to the power of 5 = m⁵

m to the power of 6 = m ⁶

n to the power of 3 = n³

n to the power of 11 = n¹¹

      [tex]m^5 \times m^6 \times n^{11}[/tex]   over  [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Simplified form:

[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]

Answer:

A. 42 [tex]u^{2}[/tex]

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 [tex]u^{2}[/tex]

Answer:

5

Step-by-step explanation:

since x + 3 is a factor of the polynomial that means -3 is a value of x

substitute x = -3

next see attachment

Answer:

h(n) =2n

Step-by-step explanation:

Hope this helps :)

Answer:

To find the area, you have to multiply the length times the width

Step-by-step explanation:

Answer:

The area of this rectangle is 6 square units.

Step-by-step explanation:

Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:

 8       9

----- * -----

  3      4

                        8 * 9

This results in ----------    which itself reduces to 6.  

                          4 * 3

The area of this rectangle is 6.

Answer:

The answer is 10.2-y=32.6 D. y+32.6=10.2

Step-by-step explanation:

Given : The difference between 32.6 and a number is 10.2

Let the number be : y

⇒   32.6 - y = 10.2

⇒   32.6 minus y = 10.2

Answer:

13/20

Step-by-step explanation:

To add fractions without the common denominator, you have to make them equal so

1/4 x 5 = 5/20

2/5 x 4 = 8/20

5/20 + 8/20 = 13/20

Answer:

13/20 miles.

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{2}{5}[/tex]

= [tex]\frac{5}{20} +\frac{8}{20}[/tex] (find the common denominator and convert the fractions)

= [tex]\frac{13}{20}[/tex]

13/20 is the most simplified it will go, so you will have walked 13/20 miles.

Hope this helps!

Answer:

The minimum unit cost is $9374.

Step-by-step explanation:

The unit cost C for making x engines is given by the quadratic function:

[tex]C(x)=0.3x^2-162x+31244[/tex]

We want to determine the minimum unit cost.

Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 0.3, b = -162, and c = 31244.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]

In other words, in order to achieve the minimum cost, only 270 engines must be made.

Then to find the minimum cost, substitute the value back into the function. So:

[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]

The minimum unit cost is $9374.

Answer:

(5x-23)° + (7x-1)° = 180°

5x-23 + 7x-1 = 180

12x - 24 = 180

12x = 204

x = 17

.°. (5x-23)° = 62°

& (7x-1)° = 118°

Answer:

in the survey, 16 out of 80 students who where asked favored chicken nuggets.

so we need to calculate like this:

530 * 16/80

=530 * 1/5

=530/5

=106

hope this helps your understanding, wish you good grades

Answer:

c

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37

Answer:

1. 10 root 3

2.

A=30

B = 60

Step-by-step explanation:

In picture

Step-by-step explanation:

please check the attachment

Answer:

probability would be 5/6.

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 ,  r = 3.4% =0.034, n =4

[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]

Hence, the amount of money in his account after 4 years = $7,658.73

Answer:

Both are rational.

Step-by-step explanation:

As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.

And we know the product of two integers is an integer

p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.

Thus a+b and a-b is rational.

Answer:

32 days

Step-by-step explanation:

Derek

24 then 48 then 72

Emily

16 then 32 then 48

16 + 16 =32

Answer:

48 days

Step-by-step explanation:

answer is in photo above

find the lowest common multiple of 24 and 16

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

Answer:

3. positive correlation but not causal relationship

Step-by-step explanation:

A positive correlation is when one factor increases, the other factor increases as well.

A negative correlation is when one factor increases, the other factor decreases.

A causal relationship is when one factor causes the other factor change in a certain way (i.e. increase or decrease).

More people buy ice cream as the day becomes hotter and sunnier. This also applies to people choosing to wear sunglasses. Therefore, there is a positive correlation between the two (because both increase). However, this is not a causal relationship because the cause of both is the hotter and sunnier day.

I hope this helps! If you have any question, feel free to as. :)

Answer:  A.  x = 3

This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.

Answer:

(9,3)

Step-by-step explanation:

Hope this helps