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3 years ago

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

k = 21

Step-by-step explanation:

$xy = k\\\\Plugging\: x = 7\: and\: y = 3,\: we\; find:\\7\times 3 = k\\21 = k\\\huge\red{\boxed{k = 21}}\\$

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Find the average rate of change of the function below over the interval (-4,-1).

babymother [125]

Answer:

-2

Step-by-step explanation:

$\frac{f(b)-f(a)}{b-a}\\ \\=\frac{f(-1)-f(-4)}{-1-(-4)}\\ \\=\frac{-4-2}{-1+4}\\ \\=\frac{-6}{3}\\ \\=-2$

Therefore, the average rate of change over the interval [-4,-1] is -2.

5 0

2 years ago

Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3

r-ruslan [8.4K]

Answer:

Steps ig

((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23

5 0

3 years ago

Please help and thank you!

Stolb23 [73]

The conversion is

$x = r \cos \theta$

$y = r \sin \theta$

$\dfrac y x = \tan \theta$

We're given the fairly unusual

$\theta = -\frac 5 2$

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.

$\dfrac y x = \tan \theta = \tan(-5/2) \approx 0.747$

Ah, there's our .75. The approximate answer is

$y = 0.75 x$

Third choice.

The exact answer is

$y = x \tan( -\frac 5 2)$

also a line through the origin.

3 0

3 years ago

The zoo is creating a new tank for some of its fish. The zoo wants the tank to be a cube and be able to hold 3,375 cubic feet of

Verizon [17]

Answer:

³√3375

Step-by-step explanation:

Hope this will help guys

3 0

3 years ago

Is finding the squared verion of a number multiplying times 4?

Afina-wow [57]

When squaring a number, you multiply the number by itself. Ex- 4squared would be 16. 4 x 4 = 16. Ex- 8squared would be 64.
8 x 8 = 64

8 0

3 years ago