Step-by-step explanation:
this chart is a life saver!
First one
remember
a/b=c/d also can be written as
ad=bc
so
first one can be rewritten as
3x=96
divide both sides by 3
x=32
2nd ones we can just times both sides by 5 to get
x=50/12
3rd one we times 12 both sides to get
x=8
4th one we translate to
4x=63
divide by 4
x=63/4
5th one we translate to
99=5x
divide by 5
99/5=x
6th one we times 21 both sides
6=x
7th one we times both sides by 16
14=x
last one we translate to
45=3x
divide 3
15=x
Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
Answer:
Step-by-step explanation:
Since, 
And 
Therefore, x = 5 and y = -3 will be the value of variables.
The anwser would be -15
3 x (-5) = -15
