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IgorC [24]
3 years ago
15

For what value of x is line a parallel to line b?

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Answer:

x = 22

Step-by-step explanation:

4x + 28 = 116 (corresponding angles are equal when two lines are parallel)

4x = 88

x = 22

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Identify the domain and range of the function graphed below
Naddik [55]
The domain would be all real numbers such that x \leq 4.
The range would be all real numbers such that y \geq 0.

The domain in these problems is always the x values that can be used in the equation. As you can see in the picture, the highest number used is 4. Any number after that will produce no y value. So we know the domain must be 4 or less. 

We do the same for the y value. Since 0 is the lowest number, we know it must be greater than or equal to 0. Also, especially in graphs like this, it is important to note that even though it doesn't look like the y is growing fast, since it goes on to infinity, it will eventually get infinitely high. 
5 0
3 years ago
Can someone help me with this math homework please!
defon

Answer:

(A, B, D)

Step-by-step explanation:

Let's evaluate each answer choice:

<u>"The independent variable is the number of people"</u>

Correct. The number of people is independent and DOESN'T depend on the total cost to change.

<u>"The initial value (initial fee) for the pinic is $40"</u>

Correct. In this table, every 3 people increases the cost by $6. So that means 6 people would increase the cost by $12. From the first row of 6 people and $52, if we "subtracted" 6 people and "subtracted" $12, we would get a value of 0 people with a total cost of $40.

<u>"The rate of change is $8.67 per person"</u>

Wrong. To find the rate of change (also called slope), use this method below:

(y_2 - y_1)/(x_2 - x_1)

(6, 52) (9, 58)

x_1 = 6

x_2 = 9

y_1 = 52

y_2 = 58

(58 - 52)/(9-6)

6/3 = 2

The rate of change is 2, not 8.67.

<u>"As the number of people increases, the total cost of the picnic increases."</u>

Correct. As you can see in the table, as the number of people increase (6, 9, 12, 15), the total cost increases as well (52, 58, 64, 70).

<u>"If 4 people attended the picnic, the total cost would be $46."</u>

Wrong. In one of the previous answer choices, we found out that the rate of change, or the cost per person at picnic, is $2, and the intial fee is $40. From this info, we can form this equation:

y = 2x + 40

And if we plug in 4 people into this equation, we DON'T end up with total cost of $46:

2(4) + 40

8 + 40 = 48

The total cost for 4 people is $48, NOT $46

Hope this helps (●'◡'●)

3 0
3 years ago
Please show work too I really need help
kumpel [21]

Answer:

i really  really like ya cut g

Step-by-step explanation:

3 0
3 years ago
The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?
Marizza181 [45]

Answer:

Rotations of tire to travel 500 feet: 95.54

Step-by-step explanation:

Circumference = 20 x 3.14 = 62.8 in

500 feet = 500 x 12 inches = 6,000 in

Rotations = 6000 / 62.8 = 95.54 rotations of tire

6 0
3 years ago
Write the fact family for the numbers 32,8,and 4
katovenus [111]
Assuming that you meant factor family to be a factor tree.

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            16       2                             4   2                                       2 2
         4      4                                 2 2
       2 2  2  2
3 0
4 years ago
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