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2 years ago

11

What is the domain of the function shown on the graph?

1 answer:

blondinia [14]2 years ago

4 0

Answer:

Step-by-step explanation:

Looking at the arrows on the graph, it appears that as the graph keep growing UP unbounded, it also keeps growing to the left unbounded (to negative infinity, to be exact). Looking to the right, it appears that as the graph decreases unbounded (the y values keep getting smaller), the graph keeps growing in the x direct to positive infinity. So the domain is

- ∞ < x < ∞

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35 lbs of apples cost $420. <br> How much would 6 lbs cost?

Ymorist [56]

Answer:

$72

Step-by-step explanation:

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

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2 years ago

Fiesta28 [93]

Answer:

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2 years ago

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kozerog [31]

1. 7.5 because Y/75 X 10/100 = 750 /100 = 7.5
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