|-4k|>16 Solve inequality. Graph the solution set on a number line.

Answers

Answer 1

Answer:

Answer (it has two solutions):

k > 4
k < -4

I hope this helps!

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Each equation given below describes a parabola. Which statement best compares their graphs? y = -3x2 y= -7x2

A. Both parabolas open downward, and y = -7x2 is wider than y = -3x2.
B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.
C. Both parabolas open to the left, and y = -3x2 is wider than y = -7x2.
D. Both parabolas open to the left, and y = -7x2 is wider than y = -3x2.

Answers

Answer: The correct statement is (B). Both parabolas open downward, and $y=-3x^2$ is wider than $y=-7x^2.$

Step-by-step explanation: The equations of the two parabolas are as follows:

$y=-3x^2~~~~~~~~~~~~~(i)\ny=-7x^2~~~~~~~~~~~~~(ii)$

The standard equation of a parabola is given by

$y=a(x-h)^2+k.$

If a < 0, then the parabola open downwards and if a > 0, then the parabola open upwards.

From equation (i), we have

$y=-3x^2\n\n\Rightarrow y=-3(x-0)^2+0,$

so a = -3 < 0, so the parabola (i) open downwards.

From equation (ii), we have

$y=-7x^2\n\n\Rightarrow y=-7(x-0)^2+0,$

so a = -7 < 0, so the parabola (ii) open upwards.

Also, since -3 > -7, so the parabola (i) is wider than the parabola (ii).

Therefore, both parabolas open downward, and $y=-3x^2$ is wider than $y=-7x^2.$

The graphs of the parabolas are shown in the attached figure.

Thus, (B) is the correct ption.

The answer would be B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.

Frank is currently using 1/3 of the space available on his computer. Pictures fill up 1/2 of the used space. How much space on Frank's computer is filled with pictures?

A. 1/2

B. 1/3

C. 1/5

D. 1/6

Answers

the answer is D. 1/6

Fill in the blank to make the expression a perfect square.
v^2 - 18v + ?

Answers

Answer: (v - 9)^2 - 81

Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term to complete the square.

Hope this helps! :) ~Zane

Which expression gives the volume of a sphere with radius 8?A. 4(83)
B. (82)
C. (83)
D. 4(82

Answers

Given:
radius = 8

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * 8³
V = 1.33 * 3.14 * 512
V = 2,138.21 cubic unit

The volume of a sphere is (4/3)π(r^3)

Here r = 8

Then the expression for this sphere is 4π(8^3)/3 = 4*1.05 (8^4) ≈ 4(8^3)

You have to check the options..

Simplify please! sqrt(8x^(12) y^(7))

Answers

$\sqrt{8 x^(12) y^(7) } = √(8) \sqrt{x^(12)} \sqrt{ y^(6)*y } =√(4) √(2) \sqrt{(x^(6) )^(2) } \sqrt{ (y^(3))^(2)} √(y)=2 √(2) x^(6) y^(3) √(y)$

I hope it helps you :)

If a yield sign is a regular polygon what is the measure of each angle

Answers

If that yield sign were a equilateral triangle, then it would be a regular polygon. In that triangle, each angle would equal 120°.

If the yield sign is a regular polygon and is then a equilateral triangle, then each angle would be equal to 60 degrees

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