Question

Question 1 (Multiple Choice Worth 4 points)

[9.02] What are the x-intercept(s) of the graph of y − x2 = −11x + 24?

(−3, 0) and (8, 0)

(3, 0) and (−8, 0)

(−3, 0) and (−8, 0)

(3, 0) and (8, 0)

Answer 1

Help me please

Answer 2

Plug in y = 0 and solve for x


\[\large y - x^2 = -11x + 24\]


\[\large 0 - x^2 = -11x + 24\]


\[\large -x^2 = -11x + 24\]


\[\large -x^2+x^2 = -11x + 24+x^2\]


\[\large 0 = x^2-11x+24\]


\[\large x^2-11x+24 = 0\]


I'll let you finish up

Answer 3

What do i do next i am lost sorry

Answer 4

factoring is the next step

Answer 5

I don't know how to do that

Answer 6

find two numbers that multiply to 24 and add to -11

Answer 7

can you do this one and i next question is that ok

Answer 8

what two numbers multiply to 24 and add to -11?

Answer 9

list out the factors of 24 and see which two add to -11

Answer 10

I am lost

Answer 11

list out all the possible ways to multiply to 24

Answer 12

so you'll have 1*24, 2*12, etc etc

Answer 13

oh ok. 3x8= 24

Answer 14

2x12=24

Answer 15

4x6=24

Answer 16

6x4=24

Answer 17

good, notice how 3+8 = 11, 2+12 = 14, 4+6 = 10

none of these results are -11

Answer 18

so how do we fix that?

Answer 19

I don't know how

Answer 20

well notice how

-1 times -24 = +24 or just 24

and how

-2 times -12 = +24 or just 24

etc etc

Answer 21

-6x24=-24

Answer 22

Is this the answers x - 3 = 0 or x - 8 = 0

Answer 23

or this one x = 3 or x = 8

Answer 24

is answers B

Answer 25

good, x^2 - 11x + 24 factors to (x-3)(x-8)

Answer 26

so its B

Answer 27

And can you help me on this one Question 2 (Multiple Choice Worth 4 points)

[9.02] What are the solutions of x2 − 3x − 28 = 0?

x = 4, x = 7

x = −4, x = −7

x = 4, x = −7

x = −4, x = 7

Answer 28

Is this right x^2-3x-28=0
(x+4)(x-7)=0

x+4=0
x=-4

x-7=0
x=7

So, x could be -4 or 7.

Answer 29

perfect

Answer 30

is it this one x = −4, x = 7 or this x = 4, x = −7

Answer 31

you tell me

Answer 32

I think its this one x = 4, x = −7

Answer 33

but you said "So, x could be -4 or 7."

Answer 34

I don't know one of them

Answer 35

one of them has x=4, the other has x =-4

so clearly they are different

Answer 36

yea

Answer 37

so I'm sure you see which one is the answer