Answer:
x=5
Step-by-step explanation:
I was working on this problem also.
Maybe my version will help, too.
You need to sketch f given the information you have.
f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)
f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.
f then slopes down to to x=5 where is has a minimum and then slopes up.
if im not wrong
Answer:
x = 6, y =3
Step-by-step explanation:
4x-7y=3
x-7y=-15
Multiply the first equation by -1
-4x+7y=-3
Then add this to the second equation to eliminate y
-4x+7y=-3
x-7y=-15
------------------
-3x +0y = -18
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
Now find y
x -7y = -15
6 -7y = -15
Subtract 6 from each side
6-7y-6 = -15-6
-7y = -21
Divide by -7
-7y/-7 = -21/-7
y =3
Answer:
70 and 71
Step-by-step explanation:
Consecutive means in a row
x is the first number
x+1 is the next number
x+ x+1 = 141
Combine like terms
2x+1 =141
Subtract 1 from each side
2x+1-1=141-1
2x= 140
Divide each side by 2
2x/2 =140/2
x = 70
The two lockers are 70,71
Answer:
The average rate of change from 1990 to 1991 is 
The average rate of change from 2000 to 2001 is 
Step-by-step explanation:
The average rate of change of function f(x) over the interval 
is given by
It is a measure of how much the function changed per unit, on average, over that interval.
From the information given:
- The function that models the population t years after 1990 is
- The year 1990 is t = 0 and the year 2000 is t = 10.
1. The average rate of change from 1990 to 1991 is:
The interval is 
2. The average rate of change from 2000 to 2001 is
The interval is 
Answer:
x=-31/2
Step-by-step explanation:
Let's equate the equation to zero
-3(4x+5)-2(-5x+8)=0
-12x-15+10x-16=0
Collect like terms
-12x+10x-15-16=0
-2x-31=0
Add 31 to both sides
-2x=31
Divide both sides by-2
x=-31/2
