Is -51/5 rational or irational

Answers

Answer 1
Answer:

Answer:

Rational

Step-by-step explanation:

Answer 2
Answer:

Answer:

Step-by-step explanation:

its written as a ratio of two integers, so its a rational number.


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What is the solution of the system of equationsy-x=5 and y=x² +5?
1) (0,5) and (1,6)
2) (0,5) and (-1,0)
3) (2.9) and (-1,4)
4) (-2,9) and (-1.4)

Answers

You can basically just plug in the values. “1) (0,5) and (1,6)” is correct.

If f(x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g(x)?

Answers

Answer:

g(x) = -x² - 4

Step-by-step explanation:

In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)

k = -4 because we are moving 4 units down

a = -1 because we are just reflecting over the x-axis

What is the solution to –4|–2x + 6| = –24?x = 0x = 0 or x = –6x = 0 or x = 6no solution

Answers

The correct answers are the x = 6 and x = 0.

In order to find this, we can follow the order of operations.

–4|–2x + 6| = –24

Divide by -4

|–2x + 6| = 6

Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.

-2x + 6 = 6

-2x = 0

x = 0

Now for the negative

-2x - 6 = -6

-2x = -12

x = 6

These would be your two answers.

Answer:

C.

Step-by-step explanation:

Amanda has been employed at a company for 37 years. The company is 24 years older than Amanda. The sum of Amanda age and the company’s age is 121 years. How old was Amanda when she started her job?

Answers

Answer:

11 1/2 years old

Step-by-step explanation:

Let Amanda's age be a.

Let the company's age be c.

The company is 24 years older than Amanda. This means that:

c = 24 + a ______(1)

The sum of Amanda's age and the company's age is 121 years. This means that:

c + a = 121 ________(2)

Put (1) in (2):

24 + a + a = 121

2a = 121 - 24

2a = 97

a = 97 / 2 = 48 1/2 years

She has been there for 37 years, therefore, her age when she started working there is:

48 1/2 - 37 = 11 1/2 years old

NOTE: This age doesn't seem right but I worked based on the parameters given.

Line n is parallel to Line P. Find the measure of each angle.
Please help

Answers

Answer:

Step-by-step explanation:

m∠1 = 180-40= 140° (suplementary angles)

m∠2= 40° (vertical angles are ≅)

m∠3= 140° ( is ≅ to ∠1)

m∠4 = m∠6 = 40° ( same side corresponding ∠s, and vertical angles)

m∠5 = m∠7 = 140° ( same side corresponding ∠s, and vertical angles)

Answer:

m<1=140

m<2= 40

m<3= 140

m<4= 40

m<5=140

m<6= 40

m<7= 140

(PLEASE HELP!!!)Which shows the list of numbers in order from least to greatest?

Answers

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

-2 is the least because the two lines means the number inside will be positive.

this means that -4/5 will be 4/5. Then 1. Then 3.5. Finally, 4.2

Hope this helps you