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alexandr1967 [171]
3 years ago
8

P(x) is a ploynomial. Here are a few values of P(x). P(-5)=-2 and P(5)=-1 What is the remainder when P(x) is divided by (x+5) WI

LL MARK BRAINLIEST

Mathematics
2 answers:
valkas [14]3 years ago
6 0

Answer:

Answer is D

Step-by-step explanation:

Alexxandr [17]3 years ago
3 0

Answer:

D.

Step-by-step explanation:

So we know that P(x) is a polynomial.

We also know that:

P(-5)=-2\text{ and } P(5)=-1

And we want to find the remainder when P(x) is divided by (x+5).

To do so, we can use the Polynomial Remainder Theorem.

The theorem states that if a polynomial f(x) is divided by (x-a), then the remainder will be f(a).

So, we are dividing our polynomial P(x) by (x+5).

(x+5) is the same as (x-(-5)).

Therefore, our remainder will be the same as P(-5).

As given, P(-5) is -2.

Therefore, our remainder is -2.

Our answer is choice D.

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insens350 [35]

Answer:

Question 4:  y=\displaystyle -\frac{4}{5}x

Question 5: y=-5x-3

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

<u>Question 4</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

\displaystyle m=\frac{y_2-y_1}{x_2-x_1} where two points that pass through the line are (x_1,y_1) and (x_2,y_2)

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}

Therefore, the slope of the line is \displaystyle -\frac{4}{5}. Plug this into y=mx+b as the slope (<em>m</em>):

y=\displaystyle -\frac{4}{5}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (<em>b</em>) is 0. Plug this into y=\displaystyle -\frac{4}{5}x+b:

y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x

<u>Question 5</u>

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5

Therefore, the slope is -5. Plug this into y=mx+b:

y=-5x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (<em>b</em>) is -3. Plug this into y=-5x+b:

y=-5x+(-3)\\y=-5x-3

I hope this helps!

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Answer:

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Step-by-step explanation:

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x = \sqrt{225} = 15 inches

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