Answer:
y intercept = -2
x intercepts = -2,-1,1
Step-by-step explanation:
f(x) = x^3 + 2x^2 -x-2
Set this equation equal to zero to find the x intercepts.
Factoring by grouping
0 =x^3 -x +2x^2 -2
= x( x^2-1) +2(x^2-1)
Factoring out the (x^2-1)
0= (x^2-1) (x+2)
Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)
0 = (x-1) (x+1) (x+2)
Using the zero product property
x-1 = 0 x+1 = 0 x+2 =0
x=1, x=-1 x=-2
The x intercepts are -2, -1, 1
To find the y intercepts, set x=0
y = x^3 + 2x^2 -x-2
y = 0 -2
y = -2
Answer:
100rz cents.
Step-by-step explanation:
The price of cement with respect to its weight is proportional.
So, we can write p ∝ w
where p is the price in dollars and w is the weight of the cement in pounds.
⇒ p = kw ............... (1) {Where, k = proportionality constant}
Given that, one pound of cement cost r dollars.
So, from equation (1), we can write
r = k(1)
⇒ k = r
So, the equation becomes p = rw .............. (2)
Now, for w = z pounds, the price will be p = rz dollars. {From equation (2)}
Therefore, the price of z pounds in cents will be 100rz cents. (Answer)
Answer:
t represents the number of miles per hours it takes ride your bicycle.
Step-by-step explanation:
9t = 26
you divide 26 by 9 because you are moving it over the equal sign.
t = 2 reminder 8 or; 2 8/9
I'm assuming there is a typo in the question, and the expression is actually "6x+40". That expression factored is 2(3x+20).
