4. A rental car agency charges a fee of $25 plus $0.20 for every mile driven. Write a function rule to determine the cost of renting a car.
a. What is the cost of driving a rental car 150 miles?
b. If I have $145, how far many miles can I drive the rental car?
Besties help please

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]

Answer:

overdraft fees is your answer

Step-by-step explanation:

Answer:

W 2,3

X 5,3

Y 1,2

Z  8,4

Step-by-step explanation:

The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the coordinates of the rhombus be represented as WXYZ

where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )

Now , the dilation scale factor is k = 3 centered at origin

So , result of this transformation is an image with the same shape as the original

The coordinates of the dilated figure is W'X'Y'Z'

where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Hence , the dilation is solved

To learn more about dilation click :

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Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

Brainliest pls!

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Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The amount of lawns that he can mow in 10 hours is; A: five Lawns

We are told that it takes a time of 4 hours to mow 2 lawns. Thus, amount of lawn he can mow in 1 hour = 2/4 = 0.5 lawn per hour

Thus, amount of lawn he can mow in 10 hours = 0.5 * 10 = 5 lawns

In conclusion he will mow 5 lawns in 10 hours.

Read more about proportion of work at; https://brainly.com/question/1781657

Answer:

b) 8

Step-by-step explanation:

6x+(5x+2)=90

11x+2=90

11x=88

x=8

:)

Answer:

AEB =43

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

AED + AEB = 180

137+AEB = 180

AEB = 180-137

AEB =43

Answer:

[tex]\text{B. }43^{\circ}[/tex]

Step-by-step explanation:

Angles [tex]\angle AED[/tex] and [tex]\angle AEB[/tex] are supplementary, meaning they add up to 180 degrees, because they form one side of a line.

Thus, we have:

[tex]\angle AED+\angle AEB=180,\\137+\angle AEB=180,\\\angle AEB=\boxed{43^{\circ}}[/tex]

Answer:

See the image below for the answer:)

Step-by-step explanation:

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%

(a) The confidence interval of a percentage is given as follows;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

The z-value for 95% confidence interval = 1.96

We get;

[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]

CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67

The 95% confidence interval is therefore;

[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]

From which we have;

CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)

Step-by-step explanation:

the function A, according to the tables

=> the equation : f(x) = 2x +3

the slope = 2

the function B, according to the graph

=> the equation : f(x) = 3x -2

the slope = 3

based on the value of the slope, the function B has a greater rate of change

Answer:

Step-by-step explanation:

Find the slope for the two functions

Function A:

(1 , 5)  & (2 , 7)

Slope = Change in y ÷ change in x

         [tex]= \frac{7-5}{2-1}\\\\= \frac{2}{1}\\\\= 2[/tex]

Function B:

(1 ,1) , (2 , 4)

Slope = [tex]= \frac{4-1}{2-1} = \frac{3}{1}[/tex]

             = 3

Function B has a greater rate of change

Step-by-step explanation:

16x -(3x + 9) + 17

16x -3x -9 +17

13x + 8

Answer:

2*2*2*3

or

2^3   * 3

Step-by-step explanation:

24 = 4*6

But 4 and 6 aren't prime

24 = 4*6 = (2*2)  * (2*3)

All these numbers are prime

24 = 2*2*2*3  or with exponents  = 2^3   * 3

Answer:

¿Cómo comprobar que las razones son proporcionales? ,5

Step-by-step explanation:

Para comprobar si dos o más razones son proporcionales se aplica la propiedad fundamental de las proporciones. 1 * 4 = 1 2 2 4 4 = 4 1 2 3 6 1 * 6 = 6 = 6 = = ? ? 1 2 0,5 1 = Así se concluye que las tres razones son proporcionales. 1 * 1 = 1 = 1 1ra forma. 2 * 2 2 * 3 ? 2 * 0,5

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

If he continues to eat at the same rate for 35 minutes, he'll have diabetes.

Answer:

Question 2 = 15 drinks

Question 3 = 7/12

Step-by-step explanation:

Question 2:

For every drink, there are three sizes

Ratio = 1:3

There are 5 flavors

Multiply each side by 5

5:15

15 drinks

Question 3:

5 red, 6 yellow, 8 blue, 3 orange, 2 purple

Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes

Favourable outcomes = 6 + 8 = 14 favourable outcomes

Fraction = 14/24 = 7/12

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Answer:

The answer is -15

Step-by-step explanation:

(-5)3 is the same as -5 × 3

Answer:

-5 x 3 = -15

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

Answer:

1/2(20x7) i'm pretty sure that is correct.

Step-by-step explanation:

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

divide 3000 by 100. multiply. that by your percentage (4%)

3000 ÷ 100 = 30. 30 x 4 = 120$