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makkiz [27]
3 years ago
13

Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

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The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each,
Oksana_A [137]

Answer:

6 laptops.

Step-by-step explanation:

$6500 is the budget. If each textbook costs $116, and 30 textbooks are needed, you multiply.

116 x 30 = 3480.

3480 was spent on the textbooks, and the rest needs to go into laptops.

6500 - 3480 = 3020.

Now to find out how many laptops can be bought with the remaining money, divide.

3020 / 439 = 6.88 (You can't buy a portion of a laptop, so you have to take the biggest whole number, which is 6).

6 0
4 years ago
If you help me, you will get this cookie
GuDViN [60]

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

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3 years ago
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