Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
Answer:
X=1/2
Step-by-step explanation:
-2x1/2=-1
-2x1=-2
-1+-2=-3
30/5= 6
6 - 2 = 4
Your number is four
Answer:

Step-by-step explanation:
Given

The number line is missing from the question.
So, I will answer the question and also draw the number line to show the product.


To represent this on a number line;
We draw a number line of 15 points, and place a dot on the 6th point.
This represents 6/15
See attachment
Firstly, for it to be a trinomial the expression would have to be x^2+5x+6 to factor this we would simply have to find 2 numbers that add up to 5 and multiply to 6. 3+2=5 and 3•2=6 so (x+3)(x+2) would be the answer