To find the answer, all we need to do is plug in the slope and point they gave us into the Point Slope Formula!
The point slope formula is ...
So lets put them in!
y - 4 = 2/3 (x - (-3))
Tip: remember when you subtract a negative number, it turns into adding !
So our final answer is probably D (I think you may have put a <u>typo</u>)
Your function is
. The fundamental theorem of algebra says that there will be three roots, since the degree of the polynomial is 3. The problem provides two real roots, x = -2 and x = 3, so there must be one more.
The theorem also says that possible roots of the polynomial would be in this case, the factors of the constant (-6) over the factors of the coefficient of the term with the highest degree (1).
Factors of -6 are: 1, 2, 3, 6, -1, -2, -3, -6
Factors of 1 are: 1, -1
Possible rational roots are: 1, 2, 3, 6, -1, -2, -3, -6
I then use synthetic division to see which possible rational root is a real root by dividing
by the possible rational roots, and I get a root when the remainder is 0. Remember to put the placeholder of 0 for x^2 when dividing:
-1} 1 0 -7 -6
-1 1 6
-----------------
1 -1 -6 0
When I divide by the possible rational root of -1, I get a remainder of 0, which means -1 is a root.
To check:
(x + 2)(x - 3)(x + 1)
= (x^2 - x - 6)(x + 1)
= x^3 - x^2 - 6x + x^2 - x - 6
= x^3 - 7x - 6
width = w
length = w +2
perimeter = 2L + 2w
40 = 2(w+2) + 2w
40 = 2w+4 +2w
40 = 4w+4
36=4w
w=36/4 = 9
with = 9
length = 9+2 = 11
area = l x w = 9*11 = 99 square cm
Answer:
For a 100m run record he has an average speed of 10.44 miles per second.
For a 200m run record he has an average speed of 10.42 miles per second.
