Question

Algebra

Answer 1

Post your next question xD

Answer 2

Below are two different functions, f(x) and g(x). What can be determined about their slopes?

f(x) Dawn writes 800 pages in 80 days.
g(x)
x: 2, 4, 6
g(x): -6, 12, 30

Answer 3

Slope of two points
\(\sf\Large Slope = \frac{\color{blue}{y_2}-\color{red}{y_1}}{\color{green}{x_2}-\color{purple}{x_1}}\)

Where the two points are in the form:

\(\sf\Large (\color{purple}{x_1},\color{red}{y_1})~and~(\color{green}{x_2},\color{blue}{y_2})\)

Answer 4

you can use that to find the slope of g(x)

for f(x), it's simply 800/80

Like I said before, usually time is always graphed on the x-axis but even if you don't know that, you just divide to find the unit rate which is the slope :)

Answer 5

g(x) has a slope of 9

Answer 6

correct, and can you simplify f(x)'s slope? :)

Answer 7

8?

Answer 8

It's 800/8, not 800/100 :P

\(\Large \frac{800}{8} = \frac{8\times 100}{8} = ?\)

Answer 9

so the slope is 80!?

Answer 10

no no no

\(\Large \frac{800}{8} = \frac{8\times 100}{8} = \frac{\cancel{8} \times 100}{\cancel{8}}=?\)

Answer 11

100

Answer 12

Bingo!

Answer 13

so f(x) has a bigger slope than g(x) xD

Answer 14

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?
http://imgur.com/a/4a9Yh
g(x)
x: 1, 3, 5
g(x): 0, 4, 8

Answer 15

remember we got this question wrong last time because I thought that there was no relationship between a no slope and a slope?

But the correct answer was that the function with the slope had a greater slope than the function with no slope. Remember? xD

Answer 16

okay I picked the answer choice that said g(x) has a greater slope

Answer 17

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

I know how to find the inverse but the part about x=3 confused me..

Answer 18

So basically there are two ways to do it. The easy quick way or the long way that involves a bit more work xD

The first way is just plugging in numbers, the second is finding the inverse and then plugging in numbers.

Which way? Or both ways? xD

Answer 19

I already found the inverse so now I just plug in 3?

Answer 20

(x-7) over 4 = y

Answer 21

Not sure how you got that o.O


f(x) = 4(x+3) − 5
y = 4(x + 3) - 5

x = 4(y - 3) - 5

x + 5 = 4(y - 3)

(x + 5)/4 = y - 3

x/4 + 5/4 = y - 3

x/4 + 5/4 + 3 = y

y = x/4 + 5/4 + 12/4

y = x/4 + 17/4

y = (x + 17)/4

Answer 22

oh I see what I did wrong

Answer 23

Do I plug in 3 into that inverse function?

Answer 24

yes :)

Answer 25

5?

Answer 26

the other easier way is:

remember, if (a, b) works for a function
then (b, a) works for the inverse function

so they wanted x = 3 for th einverse function

so that means if x = 3 for the inverse function, then y =3 for our normal function

and you plug in y = 5 in to the original function and solve for x
whatever you get for x in the function, will be the y value for our inverse function

Answer 27

I am so confused now
Do I go back to the normal function and plug in 5?

Answer 28

no, that I was showing another way to solve it LOL

you'll get the same answer however :)

Answer 29

you don't need to, I was just showing another way to solve it LOL*

Answer 30

I don't have 5 as an answer choice

Answer 31

and I made a typo, I never meant to say 5 in my huge reply of the second example

Answer 32

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.

−21
−16
−10
−1

Answer 33

those are the only answers I have

Answer 34

well, if we plug in y = 3 in to the original function we get the correct answer

maybe I made a mistake when solving for the inverse? mhmm

Answer 35

wait, I made a mistake in finding the inverse and the inverse you found was correct

o.o

Answer 36

When I tried solving for Y I first distributed

Answer 37

(x-7)/4 = y

plug in x = 3

your inverse was correct :)

Answer 38

it's fine everyone makes mistakes

Answer 39

It happens to the best of us ;)

Answer 40

-1 is the final answer

Answer 41

Yes! :D

Answer 42

Given the point (5, 6) and the slope of 5, find y when x = 21.

86
90
105
111

Answer 43

we can use point-slope form

\(y - y_1 = m(x - x_1)\)

where m is the slope and \( (x_1, y_1)\) is the point

once you get the equation in point slope form, plug in x = 21 and solve for y :)

Answer 44

how do I get it as point slope form o.o

Answer 45

I gave you the point slope form xD

\(y - y_1 = m(x - x_1)\)

and m is slope and (x1, y1) is the point

Answer 46

and remember the tip I gave you earlier, that you can always go from point-slope form to slope-intercept form just by solving for y :)

Answer 47

y-6=5(x-5)?

Answer 48

asdasdasd

Answer 49

I accidently refreshed and can't see our previous posts...

Answer 50

correct and then plug in x = 21 and solve for y

I gtg now but I'll be back later

That later might be to late, who knows xD

Answer 51

Just click another post and come back

Answer 52

thanks

Answer 53

is the final answer 94

Answer 54

I don't have that as an answer :(

Answer 55

I got an 85% on this practice test again

Answer 56

Good job. @thesmartone

Answer 57

Welcome to QuestionCove. @Blank

Answer 58

y-6=5(x-5)

y-6=5(21-5)
y-6=5(16)

y - 6= 80

y = 86

you made a mistake when calaculating :P

@blank