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kherson [118]
2 years ago
7

Jade graphed a system of linear equations. The two lines are right on top of each other, so it appears to be only one line. Whic

h statement about the number of points that satisfy the system is true?
Mathematics
1 answer:
kap26 [50]2 years ago
4 0

Answer:

Are we supposed to look at a picture of the graph bec if we are I don’t see it

Step-by-step explanation:

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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
Earn 100 points for this question and a brainiest
padilas [110]

Answer:

the answer is C

Step-by-step explanation:

\frac{7}{7}  -  \frac{4}{7}  +  \frac{2}{7}

6 0
2 years ago
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Plssssssss help........
Ludmilka [50]

the answer to ur problem will be -7/5

7 0
2 years ago
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7 gal 1 pt - 2 gal 7 pt =
Rus_ich [418]

Answer:

4 gal 2 pt

Step-by-step explanation:

8 pt = 1 gal

7 gal 1 pt = 57 pt

2 gal 7 pt = 23 pt

57 pt - 23 pt = 34 pt

34 pt = 4 gal 2 pt

5 0
3 years ago
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Is 15 cm greater than or less than 150 mm
Alekssandra [29.7K]

Answer:

Those are the same measurment!

Step-by-step explanation:

Conversion:

Conversion is 1cm=10mm

6 0
2 years ago
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