The average rate of change of a function f(x) over an interval (a, b) is given by
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
His mistake was adding 12+2 when he was supposed to subtract.
Short side length = x
Medium side = x + 7
Long side = 5x
Total 49, so
x + x + 7 + 5x = 49
If you combine like terms:
7x + 7 = 49
Subtract 7 from both sides
7x = 42
Divide both sides by 7
x = 6 inches.
Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
Answer:
Step-by-step explanation:
Let the two numbers be 2x and 3x.
According to the question,
2x+3x=45
5x=45
x=45/5
x=9
so th required numbers are 18 and 27 as
2x=2*9=18
3x=3*9=27
