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Ahat [919]
3 years ago
13

What is the relation between the variables in the equation y/x^2=10

Mathematics
2 answers:
eimsori [14]3 years ago
8 0

Answer:

c. y varies directly with x squared

Step-by-step explanation:

The given equation is y / x^2 = 10

This can be written as y = 10x^2

This is a direct variation y = kx, this can be read as y varies directly with x, where k is the constant.

Therefore, y = 10x^2 means "y varies directly with x squared".

Answer: c. y varies directly with x squared.

Hope you will understand the concept.

Thank you.

Lady_Fox [76]3 years ago
7 0

Answer: OPTION C.

Step-by-step explanation:

Direct variation, by definition, has the form shown below:

y=kx

Where k is the constant of proportionality.

Then  if you solve fo y from the given equation, you obtain the following form:

y=10x^{2}

Therefore y varies directly with x².

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Rationalise the denominator by 6 root 7 minus 1
nikklg [1K]

Answer:

Assuming the numerator was 1.

(6\sqrt{7}+1)/251

Step-by-step explanation:

Assuming the numerator was 1.

1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251

7 0
2 years ago
Amanda, Bryan, and Carl are about to compete in 100
Sveta_85 [38]

9514 1404 393

Answer:

  6

Step-by-step explanation:

Any of the three can be in first place.

Any of the remaining two can be in 2nd place.

The remaining swimmer will be in 3rd place.

There are 3 × 2 × 1 = 6 possible orderings of the swimmers.

7 0
2 years ago
Write the fraction or mixed number as a percent. 17/20
aliina [53]
The answer is 85%.

If you're solving without a calculator, you can simply multiply the numerator and denominator so that the denominator is equal to 100. So, for this fraction, you would multiply both the top and the bottom by 5.

17/20
17(5) / 20(5)
85 / 100
85%
7 0
3 years ago
Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

a) the equation representing the parabola is expressed as

h = -16t² - 4t + 20

c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes

h = -16(25)² - 4(25) + 20

h = - 10000 - 100 + 20

h = - 10080

d) when the coin lands on the ground, the height would be 0. Therefore,

-16t² - 4t + 20 = 0

Dividing both sides of the equation by 4, it becomes

- 4t² - t + 5 = 0

- 4t² - 5t + 4t + 5 = 0

- t(4t + 5) + 1(4t + 5) = 0

- t + 1 = 0 or 4t + 5 = 0

t = 1 or t = - 5/4

Since t cannot be negative, then t = 1 second

4 0
2 years ago
The teachers’ editions of a statistics textbook sell for $150 each, and students’ editions of the book sell for $50 each. Which
Novay_Z [31]

Answer:

(300 + 50x)/(2 + x)

Step-by-step explanation:

Let the cost of teachers' edition books be t

Let the cost of students' edition books be s

So t = 150; s = 50

Then the total cost of 2 teachers' editions and x students' editions is 2t + sx = 2 × 150 + 50x = 300 + 50x.

The total number of books is 2 + x.

So the average cost per book is (300 + 50x)/(2 + x)

7 0
2 years ago
Read 2 more answers
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