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liubo4ka [24]
3 years ago
10

Suppose y varies directly with x. Write an equation relating x and y.

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

9514 1404 393

Answer:

  a.  y = -5x

Step-by-step explanation:

The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices <em>b</em> and <em>d</em>).

A quick trial of the given values shows that choice <em>c</em> is incorrect, and that choice <em>a</em> is correct.

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Statements that are true for a cylinder with radius r and height h.
vampirchik [111]

Answer:

Only the second and third statements are correct:

Doubling <em>r</em> quadruples the volume.

Doubling <em>h</em> doubles the volume.

Step-by-step explanation:

The volume of a cylinder is given by:

\displaystyle V=\pi r^2h

We can go through each statement and examine its validity.

Statement 1)

If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:

\displaystyle V=\pi (2r)^2h=4\pi r^2h

So, compared to the old volume, the new volume is quadrupled the original volume.

Statement 1 is not correct.

Statement 2)

Using the previous reasonsing, Statement 2 is correct.

Statement 3)

If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:

V=\pi r^2(2h)=2\pi r^2h

So, compared to the old volume, the new volume has been doubled.

Statement 3 is correct.

Statement 4)

Statement 4 is not correct using the previous reasonsing.

Statement 5)

Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:

V=\pi (2r)^2(2h)=\pi (4r^2)(2h)=8\pi r^2h

So, compared to the old volume, the new volume is increased by eight-fold.

Statement 5 is not correct.

7 0
3 years ago
A. 812r) and 100
White raven [17]

Answer is C.9(3r-4) and 27r-36

Step-by-step explanation:

5 0
3 years ago
4x + 3 &lt; 3 OR 4x + 3 &gt; 19
JulijaS [17]

4x + 3 > 19

Step-by-step explanation:

4x + 3 > 19  \\ 4x + 3 - 3 > 19 - 3 \\ 4x > 16 \\ 4x \div 4 > 16 \div 4 \\ x > 4

4 0
2 years ago
Graph y = -3.2 + 9. Then identify the x-intercept.
Nataly [62]

Answer:

9

Step-by-step explanation:

if you mean -3.2x+9 then the answer is 9 because you plug in 0 into x and solve the equation, you get the x intercept

7 0
3 years ago
Xa/xb = xa-b. This is the______of Powers of property. The word is 8 letters long
SashulF [63]

it might be quantity btw I love your pfp

3 0
3 years ago
Read 2 more answers
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