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2 years ago

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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

1 answer:

ArbitrLikvidat [17]2 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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Read 2 more answers

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Correct option is: Women are less likely to purchase a Honda Civic with a standard engine than men.

Step-by-step explanation:

Denote the variable as follows:

HHC = Hybrid Honda civic

SHC = Standard-engine Honda Civic

M = male

F = female

The data provided is:

HHC SHC Total

M 77 117 194

F 34 83 117

Total 111 200 311

Compute the probability distribution as follows:

$P (M\cap HHC)=\frac{77}{311}=0.2476$

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$P(SHC)=\frac{200}{311}= 0.6431$

The probability table is:

HHC SHC Total

M 0.2476 0.3762 0.6238

F 0.1093 0.2669 0.3762

Total 0.3569 0.6431 1.0000

Consider the probability distribution above.

The proportion of women purchasing a standard engine Honda civic is less then that for men.

Thus, the correct option is: Women are less likely to purchase a Honda Civic with a standard engine than men.

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