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likoan [24]
3 years ago
8

If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

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irina [24]
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3 years ago
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7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a
MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this problem, we ahve that:

T = 38200, P = 7500, I = 0.075

So

First we find how much we have to earn in interest.

38200 = E + 7500.

E = 38200 - 7500

E = 30700

How much time to earn this interest?

E = P*I*t

30700 = 7500*0.075*t

t = \frac{30700}{7500*0.075}

t = 54.6

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0
3 years ago
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Please help me with this Statistics problem
Cerrena [4.2K]
It would be the first answer. Bubble. I don't know what you call it. But yeah, it's the first one.
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3 years ago
A box of cereal contains 18 cups. Ben eats 2 1/4 cups every serving. How many servings can he eat?
g100num [7]
Ben can have 8 servings total!

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4 0
3 years ago
Please help me with this!!
bearhunter [10]

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

a^{2} +b^{2} =c^{2}

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

4^{2} +7^{2} =c^{2} \\

Now evaluate them to get c^2

16+49=65

To get c, take the square root of 65

\sqrt{65}  = 8.06

6 0
2 years ago
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