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forsale [732]
3 years ago
11

is (x-2) a factor of f(x) = x^3 − 2x^2 + 2x + 3, use either remainder theorem or factor theorem to explain your reasoning

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

x-2=0

x=2

f(2)=2³-2(2)²+2(2)+3=8-8+4+3=7≠0

so x-2 is not a factor of f(x).

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wel
You can change it to Slope-Intercept form. That’s what I do as it’s easier to tell what is the slope and the y-intercept.

y=mx+b

2x + 3y = 6
3y = -2x + 6
y = -2/3x + 2


Steps:

Isolate y (move 2x to the other side) and change the sign of 2x (positive to negative). Divide everything in the equation by 3 in order to get y by itself.


Now that you have the equation, the slope is -2/3 and the y-intercept is 2. What I would do it start at 2 on the y axis and go down 2 units and to the right 3 units. The other way would be start at 2 on the y axis and go up 2 units on the y axis and then to the left 3 units. Your line should be a straight, diagonal line going down (in \ <— direction).


Hope this helped!! Tried to be as informative as possible.
5 0
3 years ago
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I love my chocolate company makes dark chocolate and light chocolate
baherus [9]

Answer:

this is great to hear I personally like light

5 0
4 years ago
A pair of equations is shown below:
Margarita [4]

<em><u>your </u></em><em><u>question</u></em><em><u>:</u></em><em><u> </u></em>

A pair of equations is shown below:

y = 7x − 9

y = 3x − 1

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) YOU HAVE ALREADY ANSWERED

Part B: What is the solution to the pair of equations? (4 points)

<em><u>answer:</u></em><em><u> </u></em>

<em>t</em><em>he </em><em>solution </em><em>to </em><em>the </em><em>pair </em><em>of </em><em>equations </em><em>would </em><em>be </em>

(2,5)

<em><u>how </u></em><em><u>do </u></em><em><u>we </u></em><em><u>get </u></em><em><u>this</u></em><em><u>?</u></em>

<em> </em><em>you </em><em>put </em><em>both </em><em>equations </em><em>in </em><em>a </em><em>desmos </em><em>graphing </em><em>calculator</em><em> </em>

<em>hope </em><em>this </em><em>helps,</em><em> </em><em>have </em><em>a </em><em>great </em><em>night </em><em>:</em><em>)</em><em> </em>

4 0
3 years ago
Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati
MatroZZZ [7]

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

where

s is the length side of the square

we have

s=2\ ft

substitute

A=2^{2}\\A=4\ ft^{2}

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

A=LW

we have

L=16\ ft\\W=8\ ft

substitute

A=(16)(8)\\A=128\ ft^2

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

128\ ft^2/4\ ft^{2}=32\ pavers

5 0
3 years ago
PLEASE HELP :((((((((((((((
natita [175]

Answer:c

Step-by-step explanation:

4 0
4 years ago
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