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2 years ago

14

Calculate the average rate of change for the given graph from x = 3 to x = 5 and select the correct answer below.

1 answer:

Lorico [155]2 years ago

6 0

The question can't be answered, because you have not given the given graph. Apparently you've also neglected to include the answer choices, making this question a bona fide twofer.

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

2 years ago

Zanier has a cap box. The box contains 7 blue caps, 5 green caps, and 8 pink caps. Without looking, if zanier chooses a cap from

attashe74 [19]

Answer:

5/20

Step-by-step explanation:

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3 years ago

Can somebody match these for me .

Harlamova29_29 [7]

From left to right - (-2,6) (4,1) (-2,5) top (1,-3) bottom (-4,-1) (2,-5)

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2 years ago

Students sold raffle tickets to raise money for a field trip. The first 20 tickets cost $4 each. To sell more tickets, they lowe

saveliy_v [14]

Answer:

88 Tickets were sold

Step-by-step explanation:

20*$4=$80

$216-$80=$136

$136/2=68

20+68=88 tickets

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2 years ago

A salesperson sells $2700 in merchandise and earns a commission of $324

RUDIKE [14]

A salesperson receives 3%

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3 years ago