first off, let's notice the graph touches the x-axis at -1 and 3, namely, those are the zeros/solutions/roots of the polynomial and therefore, the factors come from those points.

now, at -1, the graph doesn't cross the x-axis, instead it simply bounces off of it, that means the zero of x = -1, has an even multiplicity, could be 4 or 2 or 6, but let's go with 2.

at x = 3, the graph does cross the x-axis, meaning it has an odd multiplicity, could be 3 or 1, or 7 or 9, but let's use 1.

$\bf \begin{cases} x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}~\hspace{5em}\stackrel{\textit{even multiplicity}}{(x+1)^2}\qquad \stackrel{\textit{odd multiplicity}}{(x-3)^1}=\stackrel{y}{0} \\\\\\ (x^2+2x+1)(x-3)=y\implies x^3+2x^2+x-3x^2-6x-3=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-5x-3=y~\hfill$

5 0

2 years ago

Read 2 more answers

Anyone can help me out on this? :)

Charra [1.4K]

Answer:

the answer is c, science CANNOT answer all questions

6 0

2 years ago

PLEASE HELP!!! ITS TWO PARTS

tresset_1 [31]

Answer:

$78, $79.20

Step-by-step explanation:

PART A: $60 times 1.3 = $78

you add 30% to 100% to get 130% since it is a mark up, and then you convert to a decimal by going to the left twice then multiplying by original price.

PART B

Since it is a discount you subtract 15 percent from 100, but then add back 5 percent since there is tax applied to get 90%, convert to decimal and multiply by original price to get $88 x .9 = $79.20

6 0

3 years ago

Write the ordered pair that represents YZ. Then find the magnitude of YZ. y(-4,12), Z(1,19).

ki77a [65]

The magnitude of YZ is 8.6

Explanation:

Y( -4, 12)

Z ( 1, 19)

Magnitude of YZ = ?

We know:

$YZ = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$