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zavuch27 [327]
3 years ago
14

Determine if the equations are intersecting, parallel, or coincident. 4x +y=-4 –8x – 2y = 10

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

the equations are coincident.

Step-by-step explanation:

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At an airport, it cost 7 to park for one hour and 5 per hour for each additional hour.Let x represent the number hours parked.wr
kompoz [17]
The cost of parking is an initial cost plus an hourly cost.
The first hour costs $7.
You need a function for the cost of more than 1 hour,
meaning 2, 3, 4, etc. hours.
Each hour after the first hour costs $5.

1 hour: $7
2 hours: $7 + $5                  = 7 + 5 * 1          = 12
3 hours: $7 + $5 + $5          = 7 + 5 * 2          = 17
4 hours: $7 + $5 + $5 + $5  = 7 + 5 * 3          = 22

Notice the pattern above in the middle column.
The number of $5 charges you add is one less than the number of hours.
For 2 hours, you only add one $5 charge.
For 3 hours, you add two $5 charges.

Since the number of hours is x, according to the problem, 1 hour less than the number of hours is x - 1.

The fixed charge is the $7 for the first hour.
Each additional hour is $5, so you multiply 1 less than the number of hours,
x - 1, by 5 and add to 7.

C(x) = 7 + 5(x - 1)

This can be left as it is, or it can be simplified as

C(x) = 7 + 5x - 5

C(x) = 5x + 2

Answer: C(x) = 5x + 2

Check:
For 2 hours: C(2) = 5(2) + 2 = 10 + 2 = 12
For 3 hours: C(3) = 5(3) + 2 = 15 + 2 = 17
For 4 hours: C(3) = 5(4) + 2 = 20 + 2 = 22
Notice that the totals for 2, 3, 4 hours here
are the same as the right column in the table above.
6 0
4 years ago
Select all the expressions that represent a 20% discount off the price of an item that originally costs d dollars.
Katyanochek1 [597]

Answer:

B. d - 0.2

20%= 20/100= 0.2

so price= d-0.2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A 91 square foot bathroom has a length of 13 feet. what is the width of the bathroom
Radda [10]
<span>The answer is 7 ft. The bathroom has rectangular shape. The area (A) of a rectangle is the product of the width (w) and length (l): A = w * h. The bathroom is rectangular. We know that A = 91 ft^2 and l = 13 ft. Let's substitute them in the formula for the area: 91 ft^2 = w * 13 ft. w = 91 ft^2 : 13 ft. w = 7 ft. The width of the bathroom is 7 ft.Hope this helps. Let me know if you need additional help!</span>
5 0
3 years ago
Read 2 more answers
Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:
ahrayia [7]
Plug -5 into both of them and divide:

\sf\dfrac{2x-20}{x-1}

\sf\dfrac{2(-5)-20}{-5-1}

Simplify:

\sf\dfrac{-10-20}{-6}

\sf\dfrac{-30}{-6}

\boxed{\sf 5}
7 0
3 years ago
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Mike walked 3 miles in 45 minutes. What was his rate in miles per hour? A 1/4 miles per hourB 2 1/4 miles per hour C 4 miles per
Lemur [1.5K]

Answer:

4 miles per hour

Step-by-step explanation:

I took it on k-12

5 0
2 years ago
Read 2 more answers
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