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3 years ago

for the data in the table, does y vary directly with x? if it does, write an equation for the direct variation

Mathematics

1 answer:

algol133 years ago

8 0

Answer:

No; y does not very directly with x.

Step-by-step explanation:

y=2x: 2×6 is not 18

y=3x: 2×3 is not 6

y=4x: 3×4 is not 6

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Convert equation y = 3x^2 - 24x + 0.5 to vertex form by completing the square.

dedylja [7]

Answer:

y=3 $(x-4)^{2}$ -47.5

Step-by-step explanation:

I did it in my notebook.

8 0

3 years ago

the length of a rectangular poster is 10 inches longer than the width. if the perimeter of the poster is 124 inches, what is the

Jlenok [28]

The formula for the perimeter is 2L + 2W.

Since we know that L=10+W, we can substitute this into the equation.

2(10+W) +2W=124

20+2W + 2W=124

4W +20 = 124

4W=104

W=26

Therefore, the width is 26 inches.

6 0

3 years ago

A.) The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2.

Tasya [4]

Answer:

$\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3$

Step-by-step explanation:

<u>The Volume of a Sphere </u>

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

A. )

If the diameter of the sphere is d, the radius is r=d/2. Substituting:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3$

Operating

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}$

Simplifying

$\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3$

B.)

The diameter of the sphere is 2/3 cm, thus the volume is:

$\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3$

Operating:

$\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}$

$\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi$

$\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}$

8 0

3 years ago

Which of the following statements could be translated to the equation n-5=-2?

VikaD [51]

Answer:

the difference between a number and five is negative fieles a number is equal to two

Step-by-step explanation:

n-5=-2

n=-2+5

3 0

3 years ago

Read 2 more answers

Dorothy Wagner is currently selling 80 "I ♥ Calculus" T-shirts per day, but sales are dropping at a rate of 2 per day. She is cu

GrogVix [38]

Answer:

Increasing by $66 per day

Step-by-step explanation:

If sales are dropping at a rate of 2 per day, the sales function is:

$S = -2t +80$

If price is increasing by $1 per day, the daily price function is:

$P=1t+7$

Revenue is given by daily sales multiplied by daily price:

$R = S(t)*P(t) = (-2t+80)*(t+7)\\R(t) = -2t^2+66t+560$

The derivate of the revenue function gives us the daily rate of change in revenue:

$R(t) = -2t^2+66t+560\\R'(t) = -4t+66$

Currently (t=0) her daily revenue is changing by:

$R'(0) = -4*0+66\\R'(0) = \$66$

Her revenue is increasing by $66 per day.

3 0

3 years ago