The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place.
The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.
f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5
So, the slope is equal to:
Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
Sin J = cos K
sin J = cos (90 - J)
So, K = 90 - J
Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.
Answer:
x = 9
Step-by-step explanation:
20x + 20 = 200
-20 -20
20x. = 180
x = 9
Fraction of hour was spent by NAncy in lifting weights
Step-by-step explanation:
Time spent at the gym by Nancy = 
Time spent at lifting weights = 
What fraction of hour she spent in lifting weights?
Solving:
Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights
Fraction of hour she spent in lifting weights=

So,
Fraction of hour was spent by Nancy in lifting weights
Keywords: Word Problems involving Fractions
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Answer:
15
Step-by-step explanation:
(18+22+17+x)/4=18
18+22+17+x=18×4
57+x=72
x=72-57
x=15