What happend to the guy who fell into an upholstery

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

Which function best fits the following points?

MrMuchimi

The function that best fits the graph points is; B: y = 65.0778 * 772.9605ˣ

<h3>How to Interpret Function Graphs?</h3>

From the given graph, we can see that is parabolic form and as such we can say it is an exponential function.

Looking at the options, only option B is in exponential form and as such, we will take one point on the graph to check if this is the right function.

Let us use the coordinate (0.9, 26000)

y = 65.0778 * 772.9605ˣ

y = 65.0778 * 772.9605^(0.9)

y = 25837.76

This is very close and as such is the correct option.

Read more about Function Graphs at; brainly.com/question/14323743

#SPJ1

6 0

1 year ago

Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio

morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

$H(x,y) = (8,6)$

San Antonio

$T(x,y) = (-6,-7)$

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

$S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)]$ (1)

$S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]$

$S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)$

$S(x,y) = (4.5,2.75)$

Andra

$A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)]$ (2)

$A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]$

$A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)$

$A(x,y) =(1, -0.5)$

Emily

$E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)]$ (3)

$E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]$

$E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)$

$E(x,y) = (-2.5, -3.75)$

a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?

Emily's beginning point is the Andra's stop point, that is, $A(x,y) =(1, -0.5)$ .

Emily should begin her turn as the third driver at point (1, -0.5).

b. At what point does Emily's turn to drive end?

Emily's turn to drive end at point (-2.5, -3.75).

7 0

2 years ago

If a race car averages 138 miles per hour for 4 hours, how far does the car travel?

Mazyrski [523]

Answer:

552 miles :)

Step-by-step explanation:

138 times 4 = 552

552/4 = 138

7 0

2 years ago

Read 2 more answers

The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle

Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x) Width: 2 Length: 15+6x

20+12x=3(10+4x) Width: 3 Length: 10+4x

20+12x=6(5+2x) Width: 6 Length: 5+2x

4 0

3 years ago