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Zanzabum
3 years ago
10

1.) What is the domain and range of the function in the graph?

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

Domain → (-∞, ∞)

Range → (-2, ∞)

Step-by-step explanation:

1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).

From the graph attached,

Function is defined for all real values of x.

Therefore, domain of the function will be (-∞, ∞).

On y-axis values of the function vary from -2 (excluding 2) to positive infinity.

Therefore, range of the function will be (-2, ∞).

2). Average rate of change of a function in the interval (a, b) is defined by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

By using this expression we can find the average rate of change in the given interval.

Please give the correct interval for which the average rate of change is to be calculated.

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Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)
Reika [66]

Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

5 0
2 years ago
Help plz..And No links!! I repeat No links!!
patriot [66]

This is Right answer....

I hope you understand...

Mark me as brainliest....

Thanks

6 0
2 years ago
Read 2 more answers
Zena needs a salesperson. Salesperson A is offering his services for an initial $100 in addition to $5 per hour. Salesperson B i
77julia77 [94]

Answer:

Step-by-step explanation:

The correct question is

Zena needs a salesperson. Salesperson A is offering his services for an initial $50 in addition to $5 per hour. salesperson B is offering her services for an initial $40 in addition to $7 per hour. When will the two coaches charge the same amount of money?

Let

x ----> the number of hours

y ----> the total charge

we know that

Salesperson A

------> equation A

Salesperson B

------> equation B

To find out when the two coaches charge the same amount of money, equate equation A and equation B and solve for x

7x+40=5x+50

7x-5x=50-40

2x=10

<h2>x=5 hours i think just im not sure but i tried</h2>
7 0
3 years ago
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Oscar has a gift card with a $110 balance. He buys several video games that cost $15 each. After the purchases, his gift card ba
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Answer: Um... Not quite sure what you're asking, but he bought about 5 games with the gift card.

6 0
3 years ago
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Giving brainliest !!!! For correct answer please
Anestetic [448]
I think it’s B or A But I’m not sure
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