Answer:
The rate of change of function g is: 3/2
Step-by-step explanation:
Given the table of function g
x y
2 4
4 7
6 10
8 13
We know that rate of change is also termed as the slope of the function.
Thus,
let us take any two points, let say
(2, 4) and (4, 7)
Determining the slope between (2, 4) and (4, 7)
(x₁, y₁) = (2, 4)
(x₂, y₂) = (4, 7)
Using the formula
Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [7 - 4] / [4 - 2]
= 3 / 2
Thus, the rate of change of function g is: 3/2
A.) The circumference of the tire is 94.2
B.) The tire will have to rotate 56 times to
travel 1 mile.
X = 4.
You have to distribute by multiplying -4 by the numbers between -3x and -2.
12x + 8 =60
Subtract the 8 from 60 to simplify the equation.
12x = 48
Divide 12 by 48 and get 4.
x=4
Let 'c' represent the number of pictures Chelsea took.
Let 's' represent the number of pictures Sonya took.
For last year's Thanksgiving, c + s = 236
For this year's Thanksgiving, let 'x' represent the number of photos taken in total. x = c + s, where c and s are two integers that are the same (c = s).
And we know that for both years, c + s + x = 500.
As we know that c + s is already 236 from last year, we can remove c + s from the equation in bold and replace it with 236 instead.
236 + x = 500.
Now we have to isolate the x term.
x = 500 - 236
x = 264.
We know that x = c + s, where c and s are the same, so we can just use one of the variables and double it (so you either get 2c or 2s - it doesn't matter which one you pick because they're both the same).
2c = 264
c = 132
c = s
s = 132.
Both took 132 pictures this year.