Find the size of the final unknown exterior angle in a polygon whose

Which of the following is a root of the polynomial function below

VMariaS [17]

Answer:

A) 2 + i

Step-by-step explanation:

F(x) = x^3 - 3x^2 + x + 5

0 = x^3 - 3x^2 + x + 5

0 = (x+1)(x^2 - 4x + 5)

Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:

0 = x + 1

x = -1

We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:

0 = (x^2 - 4x +5)

This expression can't be factored, so we will use the quadratic formula (which is x = $\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$ ).

First solve for the positive part:

= (4 + sqrt(16-20)) / 2

= 4 + sqrt(-4) / 2

= 4 + 2i / 2

= 2 + i

Then for the negative part:

= (4 - sqrt(16-20)) / 2

= 4 - sqrt(-4) / 2

= 4 - 2i / 2

= 2 - i

2 + i is answer choice A! Our other roots, 2 - i and -1, aren't answer choices.

8 0

3 years ago

How to measure in inches for grade 2

Usimov [2.4K]

Answer: Put your index finger and middle finger together

Step-by-step explanation: At that age your fingers are really skinny so they add up to a whole in. To measure a centimeter all you have to do is measure it with your pinky

8 0

3 years ago

What is the equation of the line that passes through the point (5, -6) and has a slope of 3/5

Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0

3 years ago

Angelina makes 70% of her free throws. What is the probability tha she will make her next two free throws?

Vesna [10]

15 % on her next free throws because a percent is always out of a 100. leftover is 30 half of 30 is 15 do it is 15%

6 0

3 years ago

Write the next three terms of the arithmetic sequence.

JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

$\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...$

First of all, we have to find the common difference

$here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}$

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

$\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}$

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago