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1 year ago

Find f (-4) in this equation

Mathematics

2 answers:

AlekseyPX1 year ago

4 0

Answer:

f(- 4) = - 6

Step-by-step explanation:

f(- 4) with x = - 4 is in the interval - 4 ≤ x < - 1 , then f(x) = - (x + 1)² + 3

thus

f(- 4) = - (- 4 + 1)² + 3

= - (- 3)² + 3

= - 9 + 3

= - 6

then f(- 4) = - 6

Tema [17]1 year ago

3 0

Answer:

f(-4) = -6

Step-by-step explanation:

- From the step wise function given, -4 is in range of the first function;

${ \tt{f(x) = - {(x + 1)}^{2} + 3 }} \\ \\ { \tt{f( - 4) = - \{( - 4) + 1) {}^{2} + 3}} \\ \\ { \tt{f( - 4) = - ( - 3) { }^{2} + 3}} \\ \\ { \tt{f( - 4) = - 9 + 3}} \\ \\ { \tt{f( - 4) = - 6}}$

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Answer:

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Step-by-step explanation:

Given information:

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Part 2

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Part 3

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Therefore, the roots are x = 3 and x = -5.

Test the roots by choosing a value between the roots and substituting it into the original inequality:

$\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144$

As 144 ≥ 130, the solution to the inequality is between the roots:

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To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.

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