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xz_007 [3.2K]
3 years ago
11

The function y=2x+6 is shifted down 8 units. What is the equation of the new function?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

y = 2x -2

Step-by-step explanation:

When you shift down or up, you move down or up the y-axis. Here, the 6 was the y-intercept, so you subtract 8 from 6.

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Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo
Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

<em>Remember: </em><em>to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of. </em>

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷  100 = 0.07

0.07 x 118.99 8.3293 or  $8.33

118.99 + 8.33 = 127.32

<em>This is the final total of how much the skateboard would cost.</em>

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0
2 years ago
Combine like terms<br><br> 4y^2+4(7y^2-8)=<br><br> please show your work
kirza4 [7]

Answer:

32y^2-32

Step-by-step explanation:

4y^2+4(7y^2-8)

4y^2+28y^2-32

32y^2-32

if you need extra steeps explaining then plz let me know and I will help :)

8 0
3 years ago
Opposites and absolute value mean the same thing.<br><br> True or false
poizon [28]

Answer:

The absolute value of a number is the distance between the number and zero on a number line. In other words, a number and its opposite have the same absolute value.

Step-by-step explanation:

7 0
2 years ago
What is the slope of the line that is perpendicular to the given line x-2y=10?
Anuta_ua [19.1K]

Answer: slope = 1/2

Step-by-step explanation:

X-2y=10

-2y=-x-10 subtract x from both sides

2y=x+10 divide by -1

y=<u>1</u> x + 5 Divide by 2

  2

slope = 1/2

6 0
3 years ago
a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investm
klio [65]
Let the first investment be x
and second be 3000-x

so 3%of x + 4% of (3000-x) = 107
By solving x = 1300 

First investment is 1300
second investment is 1700
7 0
3 years ago
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