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2 years ago

Which choice is equivalent to the fraction below x>=3?

Mathematics

1 answer:

Step2247 [10]2 years ago

4 0

Answer:

Answer: D. 2(V[x} + V{x - 2}) Step-by-step explanation: As hinted in the question, we have to simplify the denominator. To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x? - y, right? Check the next line: (x - y) (x + y) = x² + xy -xy - y? = x² - y? If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values: 4 x-2 x+Vx-2 x-2 4(Va+v-2) (V#)² -(væ–2)² Then we simplify: 4(va+væ-2) 4(Va+va-2) (Væ)2-(Va-2)2 2(Va + Va – 2) 4(va+va-2) (x) -(x-2) 2 Answer is D. 2(V{X} + v{x - 2})

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Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which

Inga [223]

Answer:

C. c+0.15c

Step-by-step explanation:

Raising her rate by 15% is equivalent to adding 15% of what she charged before to the original price.

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2 years ago

Read 2 more answers

5(8x-3)+4(-6x-4) Distribute then simplify

Nikitich [7]

Answer:

16x - 31

Step-by-step explanation:

Write the full equation:

5(8x - 3) +4(-6x - 4)

Distribute:

40x - 15 - 24x - 16

Combine Like Terms:

16x - 15 - 16

Your answer is:

16x - 31

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3 years ago

Read 2 more answers

A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

3 years ago

In a city, the rainfall was recorded in inches each month for 12 months. What type of graph would

pychu [463]

Answer:

Bar graphs

Step-by-step explanation:

To best display something over time you should use something like a bar graph. I hope that helps! :)

6 0

3 years ago

3(6x+3) - (8-x) simplify

sergeinik [125]

Answer: 10 + 9

Step-by-step explanation:

1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)

2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8

3. Multiply the numbers: 18 + 9 - 1 ⋅ 8 = 18 + 9 - 8

4. Combine like terms: 18 + 9 - 8 = 10 + 9

⋅

4 0

2 years ago

Which choice is equivalent to the fraction below x>=3? ​

Which choice is equivalent to the fraction below x>=3?