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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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There are 52 colas and 26 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?
sergejj [24]
Hi there.

If there are 26 lemon-lime sodas and 52 colas, then that means our ratio is going to be 52:26; however, this is not simplified as both of these are even numbers. To simplify, divide both of these numbers by 26.

26 / 26 = 1
52 / 26 = 2

Our new and simplified ratio of colas to lemon-lime sodas is going to be
2:1.

I hope this helps!
5 0
3 years ago
Read 2 more answers
HHHHHHHHHEEEEEELLLLLLLLPPPPPPPP how do I do this
lyudmila [28]

Answer:

1/6

Step-by-step explanation:

2/3 times 1/4 is 2/12. 2/12 simplified is 1/6, so 1/6 is your answer.

7 0
3 years ago
Alexis cell phone company charges her $35 a month for phone service plus $0.40 for each text message. How many text message does
r-ruslan [8.4K]

Answer:

$92.50

Step-by-step explanation:

$72 - $35 = 37

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8 0
3 years ago
Lisa spends 1/5 of an hour doing her math homework and 1/3 of an hour doing her social studies homework. What fraction of an hou
Sveta_85 [38]
To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15. 
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
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3 0
3 years ago
64.3 - 3 x 2 by the power of 3 divided by two
kolbaska11 [484]
If you meant:

64.3-3*(2³)/2

That would be 52.3 :)
8 0
3 years ago
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