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e-lub [12.9K]
3 years ago
7

14. A rectangle has a width described by the expression (x2 + 2x – 15)/x and a length described by the expression

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0

Answer:

The answer to your question is Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

Step-by-step explanation:

Data

Width = (x² + 2x - 15)/x

Length = (3x² + 4x)/ (5 + x)

Process

1.- Write the formula for the perimeter of a rectangle

Perimeter = 2W + 2L

2.- Substitution

Perimeter = 2(x² + 2x - 15)/x + 2(3x² + 4x)/(5 + x)

3.- Simplification

Perimeter = (2x² + 4x - 30)/x + (6x² + 8x)/(5 + x)

4.- Sum the fractions

Least common factor = x(5 + x)

Perimeter = [(2x² + 4x - 30)(5 + x) + (x(6x² + 8x)] / x(5 + x)

-Simplification

Perimeter = [10x² + 20x - 150 - 2x³ - 4x² + 30x + 6x³ + 8x²] / x(5 + x)

Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

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Help on this one. You will get 10 points
ad-work [718]

Answer:

A.true

Step-by-step explanation:

The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

8 0
3 years ago
13. How many drinks are in a 2 oz martini made with 100 proof alcohol
pentagon [3]

Answer:

4 drinks.

Step-by-step explanation:

-One drink is defined as having one-half ounce of pure ethyl alcohol; each of the following is considered "one drink." *1 oz of 100 proof distilled spirits at 50% alcohol.

Drinks=\frac{2oz}{0.5oz}\\\\=4

Hence, 2 oz martine has 4 drinks

7 0
3 years ago
So, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me
Papessa [141]

Answer:

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Item 16
alexdok [17]

Answer:

Step-by-step explanation:

Given that the dresser is in shape of a rectangular prism

Note that, a rectangular prism has a shape of a cuboid

So, area of the rectangular prism is same as area of a cuboid

A = (2LB + 2LH + 2BH)

Where

L is length

B is breadth

H is height

Then, given the dimension of the rectangular prism to be

2ft by 2ft by 6ft

Then, you can assume that,

Length L = 2ft

Breadth B = 2ft

Height H = 6ft.

NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.

Then,

A = (2LB + 2LH + 2BH)

A = (2×2×2 + 2×2×6 + 2×2×6)

A = (8 + 24 + 24)

A = 56 ft²

The total surface area of the dresser is 56ft²

8 0
3 years ago
Read 2 more answers
Can someone explain number five??
vazorg [7]

Remark

You have 40 dollars to spend.

<em><u>AT & T</u></em>

Let the number of minutes = M

A. 20 + 0.10*M ≤ 40  

B. 20 + 0.10*M ≤ 40     Subtract 20 from both sides.

20 - 20 + 0.10M ≤ 40 - 20

0.10M ≤ 20                   Divide by 0.10

0.10M/0.10 ≤20/0.10

M≤ 200 minutes.

Verizon

A

15 + ( M ≥ 300)*0.50 ≤ 40

B

15 + ( M ≥ 300)*0.50 ≤ 40                   Subtract 15 from both sides.

(M≥300)*0.50 ≤ 25

(M≥300) ≤ 50 minutes.

This last one is a good deal more complicated. What it means is that if you are under 300 minutes, you pay only 15 dollars. If you are over 300 minutes, you can only go 50 more minutes before over extend your budget.

Part  C

These are alike in that they have a flat rate associated with them and both have a budgeted amount that has to be obeyed.

They are quite different in what they offer. The second plan is for people who use their cell phone quite a bit. For people like us (emergency only), the first plan is much better. We would always be within our 40 dollar limit. We don't use our cell but maybe 10 - 15 minutes a month on average.

Part D

I can't answer this for you. It depends on where you live and who offers you the best coverage. I would pick the first one, but that doesn't mean that it would be best for you.

5 0
3 years ago
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