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Sidana [21]
3 years ago
14

The functions r and s are defined as follows.

Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer:

r(s(-2)) = -2

Step-by-step explanation:

We are given these following functions:

r(x) = -2x + 2

s(x) = x^2 - 2

Find the value of r(s (-2)).

First we find the composition of r and s functions. It is:

r(s(x)) = r(x^2-2) = -2(x^2-2) + 2 = -2x^2 + 6

At x = -2

r(s(-2)) = -2(-2)^2 + 6 = -8 + 6 = -2

r(s(-2)) = -2

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Ari received $100 as a birthday gift and has decided to save this
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Answer:

Total amount Ari would have saved after 6 months is $220

Step-by-step explanation:

Ari received $100 as a birthday gift and has decided to save this money as well as add $20 of his own money each month. The total money Ari has saved can be estimated using the equation y = 20x + 100, where x is the number of months and y is the total amount of money saved. How much money will Ari have saved after 6 months?

Solution

Given:

g(x) = 20x + 100

where,

x = number of months

g(x) = the total amount of money saved

How much money will Ari have saved after 6 months?

g(x) = 20x + 100

When x = 6

g(x) = 20(6) + 100

= 120 + 100

= 220

g(x) = $220

Total amount Ari would have saved after 6 months is $220

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3 years ago
A location in a space with no length or width is called ____.
nika2105 [10]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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A slide 4.1 meters long makes an angle of 35º with the ground. To the nearest tenth of a meter, how far above the ground is the
Step2247 [10]

length of the slide is lets say 'l' the height (h) opposite to the angle 28 is found by h=l*sin28 where sin28=0.47 approximately h=4.5*0.47 h=2.115m

4 0
4 years ago
Confused on how to do this, care to help anyone?
ruslelena [56]

Answer:

I would use a proportion for each ingredient:

Cup sugar

4:10=½:x (10×½)÷4= 1,25 cup sugar

Cup brown sugar:

4:10=¼:x (10×¼)÷4= 0.625 cup brown sugar

Peanut butter

4:10=⅔:x (10×⅔)÷4= 1,65 cup peanut butter

Cup oats

2×¼ = ½

4:10=½:x (10×½)÷4= 1,25 cup oats

Cup milk

4:10=¾:x (10×¾)÷4= 1,875 cup milk

Tsp salt

4:10=1:x (10×1)÷4= 2,5 tsp salt

2 tbsp cocoa

4:10=2:x (10×2)÷4= 5 tbsp cocoa

1 tsp vanilla

4:10=1:x (10×1)÷4= 2,5 tsp vanilla

2 eggs

4:10=2:x (10×2)÷4= 5 eggs

3 cups flour

4:10=3:x (10×3)÷4= 7,5 cups flour

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8 0
3 years ago
Which option gives you more snack when spending the same amount of money?
Oksi-84 [34.3K]

Answer:

Spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

Step-by-step explanation:

Given that the Doritos package costs $ 4.39 and contains 11.5 ounces of product, the price of each ounce of said snack comes from the following calculation:

4.39 / 11.5 = X

0.38 = X

Therefore, each ounce of Doritos costs $ 0.38.

In turn, the Cheetos package costs $ 3.24 and contains 9.75 ounces of snacks, so its price per ounce is obtained through the following calculation:

3.24 / 9.75 = X

0.33 = X

Thus, each ounce of Cheetos costs $ 0.33.

Therefore, spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

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3 years ago
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