Question

alggebra 1 help?

Answer 1

@jim_thompson5910 please help me finish?!i only have three more but i only need the last part on some

Answer 2

post what you have so far

Answer 3

for part a i said no because an x value cant have two y values

Answer 4

is that right?

Answer 5

good, x = 1 corresponds to both y = 2, y = 4

Answer 6

so that's why it's not a function

Answer 7

okay cool. now my second question. ill attacht it one second

Answer 8

Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)

Part B: Write any two solutions for f(x). (3 points)

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)

Answer 9

i just need part c on that one^

Answer 10

p(x) = g(x) means that the two functions p(x) and g(x) have the same y value (for some given x value between the two)

essentially, that all boils down to the point of intersection between p(x) and g(x)

Answer 11

specifically, they want the x value of this intersection point

Answer 12

(-6,1) so x=-6??

Answer 13

correct

Answer 14

x = -6 makes p(x) = g(x) true

Answer 15

so i only say x=-6 not the whole (x,y)?

Answer 16

let's come up with random equations for p(x) and g(x)

let's say p(x) = 2x, g(x) = 3-x

so when we say

p(x) = g(x)

we really mean

2x = 3 - x

the solution to that will be x = some number

which is the same solution to p(x) = g(x)

Answer 17

so you can see they only care about x = -6

Answer 18

awesome sounds easier now(= heres my last question that i need part a,b,c help on if thats okay

Answer 19

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. (3 points)

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < -2x + 2. Explain how you can identify the schools that Natalie is allowed to attend. (2 points)

Answer 20

there are an infinite number of ways to tackle part A, but the easiest I see is to find two inequalities that overlap in the first quadrant

Answer 21

okay so we just make up our own two?

Answer 22

yep, that is correct

Answer 23

how do you go about doing that though? obviously they both would have to be greater than?

Answer 24

in the first quadrant, what set of x values are allowed?

Answer 25

possitive numbers? greater then 1 ??

Answer 26

why not greater than 0?

Answer 27

so x > 0

what about y?

Answer 28

y can also be greater than zero or 1 right?

Answer 29

y > 0

Answer 30

put together,

x > 0
y > 0

they both define the 1st quadrant

Answer 31

they both need to be true to be in the right quadrant

Answer 32

right

Answer 33

that's not the only possible system, but probably the easiest to spot

Answer 34

okay so for the first equation ?

Answer 35

you're dealing with inequalities, not equations

Answer 36

oh okay sorry i forgot

Answer 37

hopefully you see how I got that system

Answer 38

so i can use those as my system of inequalities?

Answer 39

you can, but it's not the only one you can use

Answer 40

do you see how the system works? how it graphs to overlap in just the 1st quadrant

Answer 41

it says they can only inclue the points C and F do they include E?

Answer 42

Yes i do understand no how it works(=

Answer 43

where are you getting E? I thought it was just C and F

Answer 44

It is im just making sure they dont include E

Answer 45

oh, I don't see E, so I don't think E is part of what they want

Answer 46

does x is greater than 0 pass through C?

Answer 47

what is the x coordinate of point C?

Answer 48

x=2

Answer 49

does that make x > 0 true ?

Answer 50

yes

Answer 51

okay im seeing it now.

Answer 52

thank you sos much for your help(=

Answer 53

do the same for the y coordinate of C

Answer 54

and you'll find it makes y > 0 true as well

Answer 55

you repeat that for any point you want to test