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3 years ago

Given h(t)=-2(t+5)^2+4, find h(-8) -334 -14 -45 -445

1 answer:

6 0

Substitute -8 for t in the expression, and now you have: h(-8) = -2[(-8) + 5]^2 + 4. Solve inside the parentheses; add -8 and 5.

h(-8) = -2[-3]^2 + 4, solve exponents next by squaring -3.

h(-8) = -2[9] + 4, multiply -2 and 9.

h(-8) = [-18] + 4, add -18 and 4.

h(-8) = -14.

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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

"She has 10 more dimes than nickels"

d = n + 10

"twice as many quarters as dimes."

q = 2d

How many coins of each kind does she have?

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

.05(d-10) + .1d + .25(2d) = 15.75

.05d - .5 + .1d + .5d = 15.75

.65d - .5 = 15.75

.65d = 15.75 + .5

.65d = 16.25

d = 16.25/.65

d = 25 dimes

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

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2 years ago

The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charg

nikitadnepr [17]

Answer:

C. 75 • $6 - $35

Step-by-step explanation:

First, 75 times 6 needs to be in the expression to represent how much they raised from washing the 75 cars.

Then, 35 has to be subtracted because that was the cost of the supplies:

So, C is correct, 75 • $6 - $35

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