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harkovskaia [24]
3 years ago
12

Which of the following expressions is the inverse of the function y=3x+4

Mathematics
2 answers:
zubka84 [21]3 years ago
7 0
To find the inverse of a function, we swap x and y then solve for y
So with this, we take y = 3x + 4 and make it x = 3y + 4. Now we solve for y
x = 3y + 4
Subtract 4 from both sides
x - 4 = 3y
Divide both sides by 3
\frac{x-4}{3} =y
wel3 years ago
7 0

Options:

A. y = 3x - 4

B. y = -3x - 4

C. y = x - 4 / 3

D. y = x + 4 / 3

The answer is option C when your doing inverse functions you need to switch the variables but substituting x with y. So, the equation would look like this:

  • y = 3x + 4 ---> x = 3y + 4
  • x = 3y + 4
  • Subtract 4 on both sides:
  • Then divide 3 on both sides: " \frac{x - 4}{3} =y or option C "

Hope this helps!

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High population density can cause increases in competition for resources, such as food and shelter. The table shows the number o
CaHeK987 [17]

Answer:

The answer is Region C

Step-by-step explanation:

Region C has total population of Zebra as 16,400 divided by the area occupied in square km which is 625. This gives population density of approximately 26 zebras/km square

\frac{16400}{625}  = 26.24

If you follow the same procedure for other regions, you will discover that region C has the highest number of Zebras/square km which is 26.

I hope this helped?

5 0
3 years ago
Read 2 more answers
Sarah has two tests at school next week, a math test and a physics test. Let A represent the event that she passes her math test
koban [17]

Answer:

P(B)=0.7

Step-by-step explanation:

When the events do not affect each other, they are known as independent events. In other words, two events are independent if the outcome of the second event is not affected by the outcome of the first event.

If A and B are independent events, the probability that both events will occur is the product of the probabilities that the individual events will occur:

P(A and B)= P(A)*P(B)

In this case, P(A and B)= 0.21 and P(A)= 0.30

Replacing:

0.21=0.30*P(B)

Solving:

\frac{0.21}{0.30} =P(B)

<u><em>0.7=P(B)</em></u>

3 0
3 years ago
For what value of X must the quadrilateral be a parallelogram X +5 equals 2X -5
melomori [17]

Answer:

x=10

Step-by-step explanation:

x+5=2x-5

x=2x-10

-x=-10

x=10

4 0
3 years ago
Equation of the line that passes through (7,7) and (6,3) in slope-intercept form
Gemiola [76]

Answer:

y= 4x - 21

Step-by-step explanation:

1. 3-7 over 6-7 and you get -4 over -1 so your slope is 4

2. put it in point-slope and solve

3. you should get y = 4x - 21

4 0
3 years ago
It took francisco 60 minutes to walk from his house to his grandmother’s house. what is 60 written as a product of factors great
Tanzania [10]

Answer:

2 × 2 × 3 × 5

Step-by-step explanation:

Given that,

The number = 60

To find,

Factors of 60 greater than 1 = ?

Procedure:

As we know,

Any of various numbers multiplied together to form a whole.

To find the factors of a number, we will have to do its prime factorization.

So,

The prime factorization of 60:

1 * 2 * 2 * 3 * 5 = 60

Since the factors greater than 1 are asked, the factors would be;

2 * 2 * 3 * 5

Thus, 2 * 2 * 3 * 5 is the correct answer.

3 0
3 years ago
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