<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.
For this, you have to reduce the larger fraction, which is 12/15
After reduction, it would be: 4/5 which is not equivalent to 3/4
4/5 ≠ 3/4
So, your final answer is "NO", it's not equivalent
Hope this helps!
Answer:
Graph 1 or A
Step-by-step explanation:
The graph is gradually getting bigger as it starts at the left (0,-10) and gets bigger and bigger until it hits the end of the chart, increasing endlessly. That is exponential growth.
Answer:
x = 6
Step-by-step explanation:
∡J = ∡K and ∡M = ∡L
because this is an isosceles trapezoid
∡J + ∡M = 180°
because angles at opposite bases are supplementary
then ∡J + ∡M = 180°
∡J = (7x + 2)°
∡M = ∡L = (25x - 14)°
so:
(7x + 2 + 25x - 14)° = 180°
(32x - 12)° = 180°
32x = 180 + 12
32x = 192
x = 6
We have the following expression:
(2x + 5) * (7-4x)
Rewriting we have:
14x - 8x ^ 2 + 35 - 20x
Grouping terms with the same exponent:
-8x ^ 2 + x (14-20) + 35
Rewriting:
-8x ^ 2 - 6x + 35
Answer:
the quadratic expression for this is:
-8x ^ 2 - 6x + 35
