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PilotLPTM [1.2K]
3 years ago
7

Patrick compared the slope of the function g(x) = -2x - 8 to the slope of the linear function shown in the table below. Let m =

the slope of g(x) and n = the slope of h(x).
Which statement is true? Choose all that apply.

A. m < n

B. m > n

C. m = n

D. both slopes have the same sign.

E. both slopes have different signs.

Mathematics
1 answer:
Zina [86]3 years ago
7 0
Both slopes have the same sign
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The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 6f(
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Answer:

Given: The transformation g(x) =6f(x)                  ......[1]

To find the corresponding values of g(x) for the given transformation.

At x = -7, f(x) = 8

then,

By substituting the value of f(x) = 8 in [1] we have

g(x) = 6 \cdot 8 =48

Similarly,

For x= -3 , f(x) = 3, then

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g(x) = 6 \cdot 3 =18

For x= 0, f(x) = -1 , then

By substituting the value of f(x) = -1 in [1] we have

g(x) = 6 \cdot -1 =-6

For x= 2, f(x) = 7, then

By substituting the value of f(x) = 7 in [1] we have

g(x) = 6 \cdot 7=42

For x= 10, f(x) = 5, then

By substituting the value of f(x) = 5 in [1] we have

g(x) = 6 \cdot 5=30

Therefore ; we have the corresponding values of g(x) as shown below;

x                f(x)           g(x)

-7                8                48

-3                3                 18

0                -1               -6

2                 7                42

10                5                30

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leva [86]

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