Question

Help.

Answer 1

Suppose f(x)=2x−5 and g(x)=|−3x−1|.

Answer 2

Find each value:
2g(-4)

Answer 3

Please, need help.

Answer 4

Do you have an answer already or not?

Answer 5

No.

Answer 6

okey. so for this question, you only need to focus on g(x).

Answer 7

The lines in front and back of the equation means that you answer cannot be negative. Do you know that?

Answer 8

\[g(x) =2 \left| -3(-4)-1 \right| ?\]

Answer 9

exactly. now solve this

Answer 10

-3(-4)-1=11

Answer 11

11*2=22.
22 is the answer

Answer 12

Thanks. Now:
Give the equation of the line based on the given information.
through (3,5), parallel to y = 5x-1

Answer 13

is this a new question ?

Answer 14

Yes.

Answer 15

So the equation of straight line is always in form of y=mx+c, where m is the gradient(rise/run) and c is the y-intercept. Based on you question, could you tell me what is the gradient of the given equation.

Answer 16

No...

Answer 17

y=5x-1
y=mx+c.
what is the gradient?

Answer 18

Would it be:
y = -5x -1?

Answer 19

"gradient" is used by some speakers of English in place of "slope." Think "slope" instead of "gradient".

Give the equation of the line based on the given information.
through (3,5), parallel to y = 5x-1

Hint: parallel lines have the same slope. What is the slope of the new line?

Answer 20

-5 and 5 are NOT the same slope. Try again.

Answer 21

Wait,
y = 5x + 5 ?

Answer 22

Parallel lines have the same slope. What is the slope of the given line?

Now you have the slope correct. I'd like to see your work so I will understand how you got that +5.

Answer 23

Have to go through (3,5)

Answer 24

Well, let's start with the form y = 5x + c.

Substitute 5 for y and 3 for x and then calculate c.

Answer 25

y = 5x - 10

Answer 26

?

Answer 27

Yes, you are right.

Answer 28

Same Question, Different Problem:
through (-0.5, 0.5), perpendicular to y = -2x - 4

Answer 29

Perpendicular means that both lines will intersect at 90 degrees.

Answer 30

I know that.

Answer 31

You start with the same steps. What is the gradient of the given equation, -2. But since they are perpendicular you flip and put a minus in front of given m(gradient)

Answer 32

So m would be 1/2 or 0.5. So you get y=0.5x+c and then you substitute the two points and solve for c.

Answer 33

Rahulmr: Your use of "gradient" is perfectly OK. But some OpenStudy users have not seen that word before and do not realize that it means the same as "slope" in this context. Would you consider using the word "slope" here? Thank you.

Answer 34

Ok. Sorry about that.

Answer 35

So, y = .5x + .75

Answer 36

???

Answer 37

Yes. You got it.