2 years ago

Select all the expressions that are equivalent to 12n + 8.

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

6 0

Answer:

D and B and E

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Slope: $3/10$

Use the slope formula

$y_{2}-y_{1}/x_{2}-x_{1}\\5-2/4--6\\=3/10$

Note

$(x_{1},y_{1})=(-6,2)\\(x_{2},y_{1}=(4,5)$

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What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1? (–3, –33) (–3, 3) (3, –24) (3, 21)

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ANSWER

(-3,3)

EXPLANATION

The given function is

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$y + 2x + 3 = - x ^{2} - 4x - 4 + 1$

Rewrite in the form:

$y =a {x}^{2} + bx + c$

This implies that,

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$y = - {x}^{2} - 6x - 6$

Complete the square to get,

$y = - ( {x}^{2} + 6x) - 6$

$y = - ( {x}^{2} + 6x + {(3)}^{2} ) - - {(3)}^{2} - 6$

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$y = - {(x + 3)}^{2} +3$

The function is now in the form:

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