Average rate of change is just the slope betwen the points
that is just the slope between (-3,-3) and (-4,-1)
slpe between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so slope between (-3,-3) and (-4,-1) is (-1-(-3))/(-4-(-3))=(-1+3)/(-4+3)=2/-1=-2
the average rate of change is -2
Answer:
(3a - 4 )^2
Step-by-step explanation:
(9a^2-24a+16)=(3a - 4 )^2
Therefore the length of each side of the square is (3a - 4 )^2
Given:
Room is 5 meters by 8 meters.
Measure of squaree tiles is 14-inch.
Approximately 316 tiles are required to floor the room.
1.25 x 250=$312.50 as Alex’s new salary.
1.25 x 180=$225 as Ben’s new salary.
Now subtract Ben’s salary from Alex’s salary
312.50 - 225=$87.50
Alex earned $87.50 more in one month than Ben
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
