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2 years ago

Let f(x)=(x+3)^2and g(x)=f(x)-7. Which of the following shows g(x)?

1 answer:

6 0

F(x) = (x + 3)²

g(x) = f(x) - 7.

g(x) = (x + 3)² - 7

g(x) = (x + 3)(x + 3) - 7

g(x) = x*x + x*3 +3*x + 3*3 - 7

g(x) = x² + 3x + 3x + 9 - 7

g(x) = x² + 6x + 2

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Find the height of a cylinder with radius 13 and surface area 1470.3.

g100num [7]

First you need the formula for SA of a cylinder: SA = 2(πr^2) + 2πr*h
(area of the top and bottom circles plus the side)
Then plug your values into the equation and rearrange to make h the subject:
1470.3 = 2π13^2 + 2π*13*h
26πh = 1470.3 - 338π
h = (1470.3 - 338π)/26π
=5.00042...
so h is approximately 5 units :)

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2 years ago

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erastovalidia [21]

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2 years ago

If 20 is decreased to 18.6, the decrease is what percent of the original number?

Lady bird [3.3K]

Answer:

1.4

Step-by-step explanation:

10 decreased by 1.4 is 18.6

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2 years ago

Does it open up or down and is it shifted to the left 2 units or to the right 2 units of function g(x)

mixas84 [53]

It opens down if the lead coefficient is negative

And it shifts to the left by two. Always use the opposite of what is in parenthesis, which in this case is 2.

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2 years ago

You buy 1.75 pounds of apples and 2.05 pounds of oranges. Apples and oranges sell for the same price per pound. The total cost,

dlinn [17]

Answer:

$1.75c+2.05c=4.18\\\\Per\ pound\ cost=c=\$1.1$

Step-by-step explanation:

$Cost\ of\ per\ pound\ apple=Cost\ of\ per\ pound\ oranger=c\\\\$

Cost of Apples:

$Amount\ of\ apples=1.75\ pounds\\\\Cost\ of\ apples=Amount\times per\ pound\ cost\\\\Cost\ of\ apples=1.75\times c\\\\Cost\ of\ apples=1.75c$

Cost of oranges:

$Amount\ of\ oranges=2.05\ pounds\\\\Cost\ of\ oranges=Amount\times per\ pound\ cost\\\\Cost\ of\ oranges=2.05\times c\\\\Cost\ of\ oranges=2.05c$

Total cost:

$Total\ cost\ of\ fruits=cost\ of\ apple+cost\ of\ oranges\\\\Total\ cost\ of\ fruits=1.75c+2.05c\\\\After\ coupon\ cost=\$ 3.43\\\\ Original\ cost=After\ coupon\ cost+coupon\ amount\\\\ Original\ cost=3.43+0.75=4.18$

$1.75c+2.05c=4.18\\\\3.8c=4.18\\\\c=\frac{4.18}{3.8}\\\\c=1.1\\\\Per\ pound\ cost\ of\ fruits=\$1.1$

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2 years ago