The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula
On substituting the values from the point, we will get
Now we will use slope intercept form, which is
Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get
b =0
Substituting the values of m and b in the slope intercept form, we will get
Answer:
36/5
Step-by-step explanation:
x/3 + 6 -2x = -6
multiply the whole equation by 3 to get rid of the denominator of the first x term.
x+18-6x = -18
move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case
x+18-6x-18=-18-18
x-6x = -36
simplify
-5x = -36
divide both sides by -5 to isolate x
x = -36/-5
=36/5
First expand by multiplying
Do 5 x 17=85
Then 5 x 13= 65
As them
85+65=150
8-7=1
150/1=150
Answer-150
A is the answer!! Hope it helps
