Answer:
Use the distributive property to multiply 3 by x−2.
y=(3x−6)(x+1)(x−4)
Use the distributive property to multiply 3x−6 by x+1 and combine like terms. y=(3x 2 −3x−6)(x−4)
Use the distributive property to multiply 3x 2
−3x−6 by x−4 and combine like terms.
y =3x 3
−15x 2 +6x+24
Step-by-step explanation:
I also up a link there of a graph. Please tell me if you can open it. Hope this helps! :P
Answer:
y=1/2(x-1)
Step-by-step explanation:
If x=t^2 and t>0, then t=sqrt(x).
If t=sqrt(x) or x^(1/2) and y =1-1/t, then y=1-x^(-1/2).
The x-intercept is when y=0.
So we need to solve 0=1-x^(-1/2) to find point P.
Add x^(-1/2) on both sides: x^(-1/2)=1.
Raise both sides to -2 power: x=1
So point P is (1,0).
Let's find tangent line at point (1,0).
We will need the slope so let's differentiate.
y'=0+1/2x^(-3/2)
y'=1/(2x^(3/2))
The slope at x=1 is y'=1/(2[1]^(3/2))=1/(2×1)=1/2.
Recall point-slope form is y-y1=m(x-x1).
So our line we are looking for is y-0=1/2(x-1)
Let's simplify left hand side y=1/2(x-1)
Answer:
B. 3/4
Step-by-step explanation:
Care with these types of graphs as the values are 2 rather than one on each axis.
Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use
.
To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.