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2 years ago

7

The graph of F(x), shown below, has the same shape as the graph of G(x) = x^3, but it is shifted down 2 units. What is its equat

ion?

1 answer:

PilotLPTM [1.2K]2 years ago

4 0

X^{3}-2 is the correct answer

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Find AuB and AnB for the sets A and B.<br> A={3, 4, 5, 6, 7), B = {4, 6, 8, 10)

kvv77 [185]

Answer:

AuB= {3,4,5,6,7,8,10}

AnB= {4,6}

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3 years ago

Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal

lisabon 2012 [21]

Given the following functions below,

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}$

Factorising the denominators of both functions,

Factorising the denominator of f(x),

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}$

Factorising the denominator of g(x),

$\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}$

Multiplying both functions,

$undefined$

4 0

1 year ago

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the neares

patriot [66]

Hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch

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3 years ago

Y = f(x) = 2x<br><br><br> Answer as a decimal

skad [1K]

Answer:

insufficient data

Step-by-step explanation:

please give complete question

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2 years ago

HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. Th

Fittoniya [83]

The cargo plane's speed was 500 mph.

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3 years ago