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irina [24]
3 years ago
13

Can someone answer this for me please show every steps for it

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer:

x1=8 x2=-8

Step-by-step explanation:

since there is absolute , means any number inside that has negative value will become positive. so the answer is -8 and 8

sorry late reply :(

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
Read 2 more answers
An investment grows according to the exponential equation y = 15,000 · 1.07x, where x is the number of years invested. Which of
Nikolay [14]
The option c is the answer because
2p=p (1.07)^x
2=1.07^x
Solve for x
X=log(2)÷log(1.07)
x=10 years the amount will be doubled after 10 years
But your option says the investment will (more) than double with (12) years
So it's correct
5 0
3 years ago
2/5g = 3/5<br><br> What does is solve to? <br> Give me a brief explanation please
swat32

Answer:

The answer is 1 and 1/2 or 1.5.

Step-by-step explanation:

I did 3/5 ÷ 2/5. Then I got 3/2. Then I turned the improper fraction into a mixed number.

8 0
3 years ago
Select all the statements that are true for any value of x​
Goryan [66]

Answer:

A, C, E, F

Explanation:

equal on both sides

6 0
2 years ago
What is the total after a 10% discount of 346.10
AVprozaik [17]
It is 311.49. You would multiply 0.10 and 349.10, which is 34.61. Then subtract 34.61 from 349.10, which is 311.49. So, after a 10% discount of 346.10, the answer would be 311.49
5 0
3 years ago
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