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Svetlanka [38]
4 years ago
13

A health club charges a sign

Mathematics
1 answer:
Nadusha1986 [10]4 years ago
7 0
30+25m
Total Price: $280
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Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/
disa [49]

Answer:

(D) f^{-1}{(x$) has an x-intercept of (-36, 0).

(E)f^{-1}{(x) has a range of all real numbers.

Step-by-step explanation:

Given the function: f(x)= -\dfrac23x-24

f(x)+24= -\dfrac23x\\$Multiply both sides by $  -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36

When y=f(x)=0

f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36

Therefore, f^{-1}(x)$ has a x-intercept of -36

Also, f^{-1}(x) has a range of all real numbers.

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5 0
3 years ago
Find the coordinates of the midpoint of the segment whose endpoints are H(10, 1) and K(4, 7).
Oliga [24]

The formula of a midpoint of a segment AB:

A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)

We have:

H(10; 1); K(4; 7)

substitute:

M_{HK}\left(\dfrac{10+4}{2};\ \dfrac{1+7}{2}\right)\to M_{HK}\left(\dfrac{14}{2};\ \dfrac{8}{2}\right)\to M_{HK}(7;\ 4)

Answer: (7, 4)

5 0
3 years ago
Read 2 more answers
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