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nexus9112 [7]
3 years ago
14

What’s the correct answer

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0
----------------------------------------------------------------------------
Find constant a.
----------------------------------------------------------------------------
Given that g(4) = 8

--------------------------------------
Substitute x = 4
--------------------------------------
g(4) = a(4)² + 24 = 8

16a + 24 = 8

--------------------------------------
Take away 24 from both sides
--------------------------------------
16a = 8 - 24

16a  = -16

--------------------------------------
Divide by 16 on both sides
--------------------------------------
a = -1

Now that we know that a = -1, plug it back to the equation.

g(x) = -x² + 24

--------------------------------------
Find g(-4)
--------------------------------------
g(-4) = - (-4)² + 24
g(-4) = -16 + 24
g(-4) = 8

----------------------------------------------------------------------------
Answer: 8
----------------------------------------------------------------------------


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