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makkiz [27]
2 years ago
13

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

Mathematics
1 answer:
Ivahew [28]2 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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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1
ElenaW [278]
<h2>Hello!</h2>

The answers are:

A.

\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

<h2>Why?</h2>

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

\frac{5}{6} and \frac{10}{12}

We have that:

\frac{10}{12}=\frac{5}{6}

So, we have that the pairs of numbers

\frac{5}{6}

and

\frac{5}{6}

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

\frac{6}{7} and 1\frac{5}{7}

We have that:

1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}

So, we have that the pair of numbers

\frac{6}{7}

and

\frac{12}{7}

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

\frac{3}{2},\frac{2}{3}

and

3\frac{1}{2},4\frac{4}{4}

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

A.

\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

Have a nice day!

3 0
3 years ago
Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the situation? Question 9 option
yuradex [85]
If im understanding this correctly, to find the value of the car after x amount of years, the answer would be 17,500 - 750(x)
5 0
2 years ago
Read 2 more answers
What is the domain of y = -2x^(2)+ 8x
Vaselesa [24]
The domain is (-inf,+inf) and the range is (-inf,8]
5 0
2 years ago
Please i need help asap
Softa [21]
D. Should be correct.
6 0
3 years ago
Read 2 more answers
Round each amount to the nearest hundred to find an estimate of 9635-4891
Snezhnost [94]

Answer:

4700

Step-by-step explanation:

Rounding to 100: Look at the tenth value. If this value is greater than or equal to 5, round up. If this value is less than 5, round down.

9635 = 9600

4891 = 4900

9600 - 4900 = 4700

You can check if it's accurate by comparing it to the original.

9635 - 4700 = 4744

4 0
3 years ago
Read 2 more answers
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