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4 years ago

Which of the following is a factor of x2 + 2x − 48

2 answers:

4 0

Factors of -48 that add up to 2

-6 and 8

So these are the factors (x + 8)(x - 6)

If you have any of those as th option, it is the answer.

Margaret [11]4 years ago

4 0

Answer:

Factors of x²+2x-48 are:

(x-6) and (x+8)

Step-by-step explanation:

We have to factorize x²+2x-48

We will use the method of splitting the middle term where we factor the middle term i.e. coefficient of x into two factors

x²+2x-48 could also be written as:

x²+8x-6x-48

x(x+8)-6(x+8)

(x-6)(x+8)

Hence, factors of x²+2x-48 are:

(x-6) and (x+8)

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3 years ago

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Sphinxa [80]

Answer:

$15,000\:\mathrm{mm^3}$

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

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The volume of a trapezoidal prism is given by $V=\frac{b_1+b_2}{2}\cdot l\cdot h$ , where $b_1$ and $b_2$ are bases of the trapezoid, $l$ is the length of the height of the trapezoid and $h$ is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ( $\frac{b_1+b_2}{2}$ ) multiplied by the trapezoid's height ( $l$ ).

Substituting given values, we get:

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Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

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3 years ago

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3 years ago

Theoretical probabilities are Select one: a. the relative frequencies based on an experiment. b. the short-run relative frequenc

luda_lava [24]

Answer:

Theoretical probabilities are the long-run relative frequencies based on an experiment.

Step-by-step explanation:

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4 years ago