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IRINA_888 [86]
2 years ago
7

Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?

Mathematics
1 answer:
Illusion [34]2 years ago
5 0

Answer:

A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.

Step-by-step explanation:

We have the equation:

|8 - 2*p| = 6

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

or

f(x) = -A

Then for our case, we can rewrite:

|8 - 2*p| = 6

as:

(8 - 2*p) = 6

or

(8 - 2*p) = -6

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

8 - 2*p = 6

8 - 6 = 2*p

2 = 2*p

2/2 = p = 1

so one solution is  p = 1

Now from the other equation, we can get the other solution:

(8 -2*p) = -6

8 - 2*p = -6

8 + 6 = 2*p

14 = 2*p

14/2 = p = 7

So the two solutions are p = 1 and p = 7

Then the correct option is:

"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."

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luda_lava [24]

Answer:

T = 40 (minutes?)

Step-by-step explanation:

Given the equation G = 50 + 20T, where G = the total amount of gas and T = the amount of Time, we know that there is already 50 gallons of gas in the tank and that the rate at which it is pumped is 20 gallons per minute (I am assuming, though it is not stated in the problem).  Given that the tank holds 850 gallons, we can plug in the values into the equation and solve for the missing variable, T:

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Subtract 50 from both sides:  850 - 50 = 50 + 2T - 50 or 800 = 2T

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Solve for T:  40 = T

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Answer:

27

Step-by-step explanation:

r = 9

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Step-by-step explanation:

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