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3 years ago

Solve for x. x+4/2x+2=4/x+1

Mathematics

1 answer:

HACTEHA [7]3 years ago

5 0

Answer:

Step-by-step explanation:

First, cross multiply.

(x+4)(x+1)=4(2x+2)

x^2+5x+14=8x+8

x^2-3x-4=0

(x+1)(x-4)=0

x+1=0 x-4=0

x = -1, x=4

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The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0

3 years ago

Find the slope and reduce P=(-2,3) Q=(8,3)

Tanya [424]

Answer:

∆y/∆x=y2-y1/x2-x1

=3-3/(-2+3)

=0/1

=o I.e it is undefine

7 0

3 years ago

Read 2 more answers

Can someone help me with this<br> S=?

MAXImum [283]

Answer:

In order to find the value of s, we must isolate the s variable in this equation, so the first step should be subtracting 3 5/6 from both sides of this equation. In order to subtract, we multiply each denominator to get 42, and multiply the numerator by the same amount, and subtract the number from both sides:

s + 3 35/42 = 9 6/42

s = 5 13/42

Step-by-step explanation:

3 0

2 years ago

20 POINTS!

White raven [17]

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

13:

It is a function, notice that if you draw a vertical line anywhere, it doesn't pass two points.

Domain : All real numbers (x-values)

Range : 2 (y-values)

14:

Not a function, if you draw a vertical line through one point, it will hit two others.

Domain : -3

Range : 4 , 0, -4

15:

It is a function, no two points in any vertical line.

Domain: All real numbers

Range: All real numbers

16:

Not a function, two points in one line

Domain : -5 ≤ x ≤ 5

Range: -2 ≤ y ≤ 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 30 ft/s. Its height

Crank

Answer:

a) h = 0.1: $\bar v = -11\,\frac{ft}{s}$ , h = 0.01: $\bar v = -10.1\,\frac{ft}{s}$ , h = 0.001: $\bar v = -10\,\frac{ft}{s}$ , b) The instantaneous velocity of the ball when $t = 2\,s$ is $-10$ feet per second.

Step-by-step explanation:

a) We know that $y = 30\cdot t -10\cdot t^{2}$ describes the position of the ball, measured in feet, in time, measured in seconds, and the average velocity ( $\bar v$ ), measured in feet per second, can be done by means of the following definition: