Answer:
C, D
Step-by-step explanation:
Answer:1/2 slope
Step-by-step explanation:
Answer:
9 (2 a - 3)^2
Step-by-step explanation:
Simplify the following:
(6 a - 9)^2
Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.
Factor 3 out of 6 a - 9:
(3 (2 a - 3))^2
Hint: | Distribute exponents over products in (3 (2 a - 3))^2.
Multiply each exponent in 3 (2 a - 3) by 2:
3^2 (2 a - 3)^2
Hint: | Evaluate 3^2.
3^2 = 9:
Answer: 9 (2 a - 3)^2
<h3>
Answer:</h3>
- A
- B
<h3>
Step-by-step explanation:</h3>
1. A decrease of 3.8% is equivalent to a multiplier fraction of -0.038. The only answer choice that has such a multiplier is A.
In an instance such as this, the "rate" is usually some (fractional) change in some period of time. Since the exponent must be unitless, the rate is effectively (some fraction) "per year" so that multiplying by "t" years cancels the units and results in a pure number.
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<em>Comment on the exponential</em>
If the actual change were -3.8% per year, the exponential term would look like (1 - 0.038)^t = 0.962^t. By writing it as e^(-0.038t), the decrease is effectively compounded continuously. As a result, over a year's time, the decrease is actually about 3.73%, not 3.8%.
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2. If ║x/2║ is a magnitude function, answer choices B and D are equivalent. Thus, we must assume it is a "greatest integer" function. Then the number of desserts prepared will be ║x/2║, and the corresponding revenue will be 1.2║x/2║. Since x is in minutes, 2 to 4 hours will be 120–240 minutes. The appropriate choice is B.
<h3>
Answer: a = 15</h3>
Explanation:
The jump from 13 to 39 is "times 3" when comparing the diagonal segments. So the jump from 5 to 'a' must also be "times 3" to keep the sides in the same proportion. Therefore, a = 3*5 = 15.
Or we could solve it like so
13/39 = 5/a
13a = 39*5 ... cross multiplying
13a = 195
a = 195/13 .... dividing both sides by 13
a = 15
