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Ostrovityanka [42]
2 years ago
15

On a cross country vacation, maria filled her 14 gallon gas tank eleven times.wich is the best estimate of how many gallons of g

as she put in the tank altogether?is it 75, 150 , 200, or225
Mathematics
2 answers:
poizon [28]2 years ago
3 0
The actual answer is 154 but the closest estimate would be 150.
Just multiply the number of gallons filled her gas tank (14) and how many time she filled it (11). 
Bezzdna [24]2 years ago
3 0

Answer:

The best estimate is 150

Step-by-step explanation:

It is very important to understand that Maria has a tank that has a volume capacity of 14 gallons. When the problem says that she has filled the tank 11 times, it means that she has filled the tank and then emptied it for refilling again. She repeated the process 11 times.

So, for solving the problem, it is necessary to multiply the tank capacity by the times Maria refilled it.

volume_{total}=14\cdot 11=154gallon

The number 154 is not an option so you must choose the value that better approaches to 154, it is 150 because the difference is the lowest.

The best estimate is 150

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Since this is a right triangle, we can use the Pythagorean theorem

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2 years ago
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
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