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uranmaximum [27]

2 years ago

14

Need help with this problem

1 answer:

Viefleur [7K]2 years ago

4 0

Answer:

h(x) = -x² + 11 x + 2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the functions are

f(x) = 2 x² - 5x -3

g(x) = x² + 6x -1

h(x) = g(x) - f(x)

= x² + 6x -1 - (2 x² - 5x -3)

= - x² + 6 x +5x -1+3

= -x² + 11 x + 2

h(x) = -x² + 11 x + 2

<u><em>Final answer:-</em></u>

h(x) = -x² + 11 x + 2

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Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

$EG=EF+FG$ ---> by addition segment postulate

we have

$EG=28\ units\\EF=3x-11\\FG=4x-10$

substitute

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solve for x

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step 2

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substitute the value of x

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step 3

Find the value of FG

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substitute the value of x

$FG=4(7)-10=18\ units$

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