Answer: +200 calories/day
Step-by-step explanation:
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
d = (-36 - -21) / (6 - 1) = -3
The arithmetic mean is calculated by adding -3 to the term prior to it.
a2 = -21 + -3 = -24 a3 = -24 + -3 = -27
a4 = -27 + -3 = -30 a5 = -30 + -3 = -33
Thus the four arithmetic means are -24, -27, -30, and -33.
Average rate of change = [H(100) - H(80)] / (100 - 80)
H(100) = 0.003(100)^2 + 0.07(100) - 0.027 = 0.003(10000) + 0.07(100) - 0.027 = 30 + 7 - 0.027 = 36.973
H(80) = 0.003(80)^2 + 0.07(80) - 0.027 = 0.003(6400) + 0.07(80) - 0.027 = 19.2 + 5.6 - 0.027 = 24.773
Average rate of change = (36.973 - 24.773)/(100 - 80) = 12.2/20 = 0.61
Answer: B
Answer:
plan 1: y=3x+50
plan 2: y=10x
Step-by-step explanation:
for plan 1, since she would have to pay $3 per visit and x is the visits per month, than you would calculate the total cost per visits by 3x. and since there is a starting fee of $50, the total goes up from 50 and never below, therefore 50 is the y-intercept
plan 2, its the same thing as plan 1 but instead of $3 per visit it is $10 and there is no starting fee, so no y-intercept
Answer:
T ≥ -2
Step-by-step explanation:
Given
Temperature = 2° below 0°
Required
Represent as an inequality
First, we need to calculate the temperature in the morning.
2° below 0 means.
Temperature = 0° - 2°
Temperature = -2°
Next, we determine the temperature at any time.
The question says the temperature continues to rise during the day.
Represent this with T
This means T will be greater than -2°
However, we need to consider where the temperature started from.
In other words, T = -2
Combine T = -2 and T = -2 together, we have:.
T ≥ -2
Hence, the inequality that represents the scenario is T ≥ -2
