If x+2 is a factor of x^3+6x^2+kx+10, then if we replace x by -2 in the polynomial x^3-6x^2+kx+10, we must get zero:
x=-2→(-2)^3-6(-2)^2+k(-2)+10=0→
-8-6(4)-2k+10=0→
-8-24-2k+10=0
-2k-22=0
Solving for k. Adding 22 both sides of the equation:
-2k-22+22=0+22
-2k=22
Dividing both sides of the equation by -2:
-2k/(-2)=22/(-2)
k=-11
Answer: k = - 11
Answer:
y-intercept = -4
Step-by-step explanation:
equation of a line: y=mx+b
two points given are (5, -6.5) and (-12, 2)
first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.
formua to find m:
= -0.5
to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.
if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b
then you just solve for b and it turns out to be -4.
Step-by-step explanation:
3x-12>2y
Y<1.5x-6 i think this is correct answer
Answer: 1/4x
The slope of the line in the graph is -4x so the negative reciprocal of that is 1/4x. Hope this helps! :)
Step-by-step explanation:
since there are z fishes
the number of angelfish = <u>1</u><u> </u> × z
4
= <u>1</u><u> </u>z
4