2 years ago

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

1 answer:

3 0

Step-by-step explanation:

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1

f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1

f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1

f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

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Of all rectangles with area 324324, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively

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Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w) ............(1)

also,

Lw = 324

L = $\frac{324}{w}$ ..........(2)

substituting 2 in 1

P = $2(\frac{324}{w} + w)$

now,

for minimizing the perimeter

$\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw}$ = 0

$2((-1)\frac{324}{w^2}+1)$ = 0

$(-1)\frac{324}{w^2}+1$ = 0

$(-1)\frac{324}{w^2}$ = -1

w² = 324

w = 18 units

For w = 18 units perimeter is minimum

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from 2

L = $\frac{324}{18}$

L = 18 units

objective function for P is:

P = 2(18 + w)

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