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Ganezh [65]
3 years ago
9

What is the value of f(-4)?

Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Given is a piecewise function which follows different expressions according the the value of input x.

Given f(x)=\left \{ {{-10, \;if \;x2} } \right.

It says to find f(-4) i.e. the value of function f(x) at x = -4.

At point x = -4, f(x) is x³, if -5 ≤ x ≤ 2.

So, f(-4) = (-4)³

f(-4) = -4 × -4 × -4

f(-4) = -64.

Hence, option A is correct i.e. -64.

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Answer:

  174 ft²

Step-by-step explanation:

Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.

The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:

  6 ft + triangle base + 6 ft = 18 ft

  triangle base = 18 ft - 12 ft = 6 ft

Then the area of the triangle is ...

  A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²

__

Of course, the area of the rectangle is the product of its length and width:

  A = LW = (18 ft)(9 ft) = 162 ft²

__

The total area of the figure is the sum of these:

  area = triangle area + rectangle area

  area = 12 ft² +162 ft²

  area = 174 ft²

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