
take the derivitive to find the slope


so at x=1, the slope is f'(1)=6(1)^2-4=6-4=2
y=mx+b
y=2x+b
find b
at x=1, f(1)=2(1)^3-4(1)=2-4=-2=y
-2=2(1)+b
-2=2+b
-4=b
equation is y=2x-4
So there are a couple of different ways to write it but I find the easiest to be 28/9 or 3 1/9
Answer:
Graph A
Step-by-step explanation
The problem: y=2x^2+8x+3
1) You will need to determine the direction of the parabola, If a > 0 then the parabola opens upward, if a < 0 then the parabola opens downward.
2) If when doing this you get an imaginary solution, you would have no x intercepts. The first thing you need to do is find the x intercepts, you can do this by plugging in 0 for y, so this would give you 0=2x^2+8x+3. Once you have this you start by subtracting 3 from both sides, dividing 8 from both side, etc. (If you would like me to elaborate don't hesitate to ask!)
3) To find the graphs y intercept you plug in 0 for x, which gives you y=2(0)^2+8(0)+3, you do the same thing you did during the previous step for y. (Once again, I am willing to elaborate further if you need!)
4) You then need to find the vertex (h,k)
To find h: h= -b/2a
To find k: k = a(h)2 + b(h) + c
5) Once you've worked through this you can graph the point!
Hope this helped!
Answer:
6x^3-13x^2+16x+7
Step-by-step explanation:
(3x+1)(2x^2-5x+7)
6x^3-15x^2+21x+2x^2-5x+7
6x^3-15x^2+2x^2+21x-5x+7
6x^3-13x^2+16x+7
Answer:
Rate or speed=3 Miles per hour
Step-by-step explanation:
Brad walked 2.5 miles in 5/6 of an hour.
Distance covered by Brad = 2.5 miles
Distance covered by Brad= 2 1/2 miles
Distance covered by Brad= 5/2 miles
Time taken to cover the distance = 5/6 of an hour
His rate of walking or how fast he walks is determined by the formula
Rate or speed= distance/time
Rate or speed=( 5/2)/(5/6)
Rate or speed= (5/2)*(6/5)
Rate or speed=6/2
Rate or speed=3 Miles per hour