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3 years ago

Which expression shows the distance you would drive from the gym to the office along this road?

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

B because absolute value means the distance of a point on a number line from 0. So the absolute value of -6 is 6 and you add that to 4

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The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?

Nutka1998 [239]

<h3>Answer: n = -11</h3>

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Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

3 0

4 years ago

How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

Law of Exponent

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

$\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }$

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

Exponent Def. (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}$

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

3 0

3 years ago

The manager of a bookstore ordered 480 copies of a book. The manager paid a total of $7,440 for the books. The books arrived at

Neko [114]

So 48 • 4 would equal 192 so 4 • 2 mins equals 8 mins and then you have 8 more books to unpack so 48 divide by 8 equals 6. So the answer would bc (8 mins and 6 second)

8 0

3 years ago

AB has endpoints at (-1, -1) and (-2, -4). Its transformation A'B' has endpoints at (-2, -2) and (-4, -8). What type of transfor

Bad White [126]

The answer is definatly C but if you know the answer why did you ask???

Anyway, hope this helps, and please mark brainliest!!!!!!!!!!!

3 0

3 years ago

What is the value of x? Enter your answer in the box. x =

irinina [24]

4x-10+5x-22+3x+2=180

So x=35/2 or 17.5

8 0

3 years ago

Read 2 more answers