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Serga [27]
3 years ago
15

For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer: -4 and 9

Step-by-step explanation:

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PLS HELP Given the following table with selected values of the linear functions g(x) and h(x), determine the x-intercept of g(h(
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Using linear and composite functions, it is found that the x-intercept of g(h(x)) is x = -\frac{5}{6}, given by option B.

-------------------------------

The equation of a line is:

y = mx + b

In which:

  • m is the slope.
  • b is the y-intercept.

Function g:

  • Two of the points are (-6,16) and (-4,10).
  • The slope is given by <u>change in y divided by change in x</u>, thus:

m = \frac{10 - 16}{-4 - (-6)} = -3

Thus:

g(x) = -3x + b

Point (-4,10) means that when x = -4, g(x) = 10, and we use this to find b, so:

10 = -3(-4) + b

12 + b = 10

b = -2

Then

g(x) = -3x - 2

Function h:

  • Two of the points are (-6,-11) and (-4,-7).
  • The slope is:

m = \frac{-7 - (-11)}{-4 - (-6)} = \frac{4}{2} = 2

Thus:

h(x) = 2x + b

Point (-4,-7) means that when x = -4, h(x) = -7, and we use this to find b, so:

-7 = 2(-4) + b

-8 + b = -7

b = 1

Then

h(x) = 2x + 1

The composite function is:

g(h(x)) = g(2x + 1) = -3(2x + 1) - 2 = -6x - 3 - 2 = -6x - 5

The x-intercept it the zero of the function, thus:

-6x - 5 = 0

6x = -5

x = -\frac{5}{6}

Which is option B.

A similar problem is given at brainly.com/question/21010520

6 0
2 years ago
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Answer:

90

Step-by-step explanation:

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