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3 years ago

15

Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does sh

e need to rent 8 movies?

1 answer:

sertanlavr [38]3 years ago

5 0

Answer:

$19

Step-by-step explanation:

Given data

Cost of movie

f(x)=3x+10

Hence the cost of 8 movies is

f(x)=3(8)+10

f(x)=24+10

f(x)=$34

Hence the cost of 8 movies is $34, Kim needs extra

=34-15

=$19

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh

kicyunya [14]

Answer:

The center is $\frac{1}{25}$ of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{5}{2}=2.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times{2.5}^2$

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{25}{2}=12.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times12.5^2$

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = $\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}$

Hence the center is $\frac{1}{25}$ of the whole target.

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3 years ago

The graph of an exponential function passes through (1, 10) and (4, 80). Find the function that describes the graph.

svetlana [45]

Answer:

y = 5*2ˣ

Step-by-step explanation:

<u>Exponential function:</u>

y = abˣ

<u>Ordered pairs given:</u>

(1, 10) and (4, 80)

<u>Substitute x and y values to get below system:</u>

10 = ab
80 = ab⁴

<u>Divide the second equation by the first one and solve for b:</u>

80/10 = b³
b³ = 8
b = ∛8
b = 2

<u>Use the first equation and find the value of a:</u>

10 = a*2
a = 5

<u>The function is:</u>

y = 5*2ˣ

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3 years ago

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Tamiku [17]

Answer: I am not to sure but I believe that the correct answer is 21

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jonny [76]

Answer:

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Step-by-step explanation:

we know that

To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4

so

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Convert mixed number to an improper fraction

$1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}$

substitute

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Simplify

$\frac{13}{6}\ frames$

Convert to mixed number

$\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames$

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