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cupoosta [38]
3 years ago
8

Find the range of the given function y = 5x + 2, where x > -2.

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer:

Its -3,2,7

Step-by-step explanation:

Simply put, you plug in all values greater than -2. Which is what thst function tells you.

You might be interested in
Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc
Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

4 0
3 years ago
Jack is 4 times as old as Lacy. 3 years from now the sum of their ages will be 71 . How old are they now?
Marizza181 [45]

Answer:

Lacy is 13 and Jack is 52

Step-by-step explanation:

In 3 years their ages will add up to 71 so you have to subtract 6 as there are two of them to get 65. Lacy's age is represented by x and since Jack is 4 times older his age is represented by 4x. So added together their age is 5x. So 5x=65. Then 65/5=13. So 13=x. So Lacy is 13 and Jack is 52 as 13x4 is 52.

3 0
3 years ago
Cherry is paid $72.00 for working six hours in a library. If the amount paid is proportional to the number of hours worked, what
patriot [66]

Answer:

She's being paid six hours per hour

Step-by-step explanation:

She's being paid six hours per hour

72/6 = 6

4 0
3 years ago
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?
Oliga [24]

Answer:

390 minutes I do believe.

Step-by-step explanation:

6 0
2 years ago
How to do (4x10^3) + (4x10^4)?
Ivan
Solution:
4 \times 10 {}^{3 }  = 4 \times 1000 = 4000 \\ 4 \times 10 {}^{4}  = 4 \times 10000 = 40000 \\ 4000 + 40000 = 44000
3 0
3 years ago
Read 2 more answers
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