Answer:
f(x)=(2x-7)^7(x+3)^4
When y=0, (2x-7)^7=0 and x=3.5 OR
(x+3)^4=0, and x=-3
Look at x=h or f(2)
That is 96-56-44+2 and it is not equal to 0. (x-2) is not a factor.
x^3-5x^2+6x-30
after trying 1,2, and 3, I tried 5
5/1===-5===6===-30
==1===0====6====30
(x^2-6) with no remainder
the factors are (x-5)(x^2+6)
the zeroes are 5, +/- i sqrt (6). Only one real 0.
hope this helps let me know in the comments if i'm wrong
Answer:
y=-4x-14
Step-by-step explanation:
Lines that are parallel would have the same slope, so the slope is
m= -4
Use point slope equation to solve for the slope intercept equation.
y-y1=m(x-x1)
m= -4
x= -3
y= -2
y-(-2)=-4(x-(-3))
y+2=-4x-12
y=-4x-14
An event will definitely either happen or not happen.
The total probability of it (happening or not happening) is 100%.
So if the probability of it happening is 87%, then the probability of it
NOT happening is
(100% - 87%) = 13% .
Answer:
Step-by-step explanation:
If you plot the focus and the vertex, you see that the focus is on the same vertical line, just 4 units up. Since the vertex is below the focus and a parabola ALWAYS wraps around the focus, the parabola is a positive y equals x-squared type. Depending upon what you call standard form will dictate how your answer "looks", although they are both the same parabola. There are 2 forms:
and

We will work on the first one, then rewrite it into the second one.
Our h value is -5, our k value is 2 (from the vertex (h,k)), and p is defined as the distance between the focus and the vertex. Our p is 4. Filling all that in:

That's one form. If we expand the left side of that form we have
Now divide both sides by 16 to get

Now add 2 to both sides in the form 32/16 to get

They are both the same parabola; pick whichever one fits your needs.