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3 years ago

Consider the relation y = −8|x + 3| − 9. what are the coordinates of the vertex? (−3, 9) (−3, −9) (3, −9) (3, 9)

1 answer:

german3 years ago

7 0

By simple substitution on the left side and on the right side of the given equation, we have to
For coordinates (-3,-9)
-9=−8|-3+3|−9
-9=−8|0|−9
 -9=−9
Therefore, it is demonstrated that the coordinates of the vertex is
(-3,-9)

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Answer:

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Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

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For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

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Required

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$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

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$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

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Therefore, it is conformed that b = 0.5

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