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RideAnS [48]
3 years ago
9

Given f(x) = 2(4 – x)2, what is the value of F(15)? Record your answer and fat in the bubbles on your anser document​

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

f(15) = 242

Step-by-step explanation:

Step 1: Define

f(x) = 2(4 - x)²

f(15) = x = 15

Step 2: Substitute and Evaluate

f(15) = 2(4 - 15)²

f(15) = 2(-11)²

f(15) = 2(121)

f(15) = 242

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An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decim
Valentin [98]

Answer:

Gallons = 27.95

Step-by-step explanation:

Given

Gallons : Miles = 17:590

Required

Determine the number of gallon for 870 miles

To do this, we simply substitute 870 for miles in the ratio above

So, we have:

Gallons : 870= 17:590

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\frac{Gallons}{870} = \frac{17}{590}

Multiply through  by 870

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Please help so confused
Sauron [17]

Answer:

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  • domain, range: all real numbers
  • x-intercept: (1/27, 0)
  • y-intercept: (0, -1)
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Step-by-step explanation:

There are a couple of transformations that may be of interest:

  g(x) = k·f(x) . . . . vertical scaling by a factor of k

  g(x) = f(x) +k . . . vertical translation by k units (up)

  g(x) = f(x -k) . . . horizontal translation by k units (right); <em>not used here</em>

__

Unlike the square root function, which is undefined for negative values, the cube root function is defined for all real numbers. Its domain and range are all real numbers.

The turning point of a cube-root function is the origin. Here, that has been translated down 1 unit, so it is (0, -1). That is also the y-intercept.

The x-intercept is the value of x where g(x)=0:

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The x-intercept is (1/27, 0).

__

<u>Transformations</u>

As we discussed above, the addition of -1 to the parent function causes it to be translated down 1 unit.

The multiplication of the parent function by 3 causes it to be vertically expanded by a factor of 3.

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