Answer:
22.5 pages per week
Step-by-step explanation:
Considering that After 2 weeks, he has read
45 pages, and after 6 weeks, he has
read 135 pages
Difference in weeks = 6-2=4 weeks
Difference in pages=135-45=90
Rate per week will be 90÷4=22½ pages per week
To prove this
If 1 week is 22½
2 weeks will be 2*22½=45
6 weeks will be 6*22½=135
Therefore, the reading rate is 22.5 or 22½ pages per week
Answer:
b. -x^2 + 50 = 25
c. |2x| = 10
d. x < 0
e. 2x < 10
Step-by-step explanation:
x = -5
-(-5)² + 50
-25 + 50 = 25
|2(-5)| = |-10| = 10
-5 < 0
2(-5) = -10 < 10
Answer:
Step-by-step explanation:
A exponential function is represented by
where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.
b to the 0th power equal 1 so
Our equation is for now
Now let plug in 1,30
Divide 5 by both sides
Anything to the 1st power is itself so b equal 6.
So our equation is
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
