Answer:
Inverse of g(x)=x+15/3
Step-by-step explanation:
g(x)=3x-15
Let, g(x) be y
y=3x-15
Interchange x and y
x=3y-15
x+15=3y
y=x+15/3
Answer:
v=6
Step-by-step explanation:
First let's simplify the equation so it will be easier to PEMDAS the equation later.
-7v+4(2-5v)=-154
-7v+8-20v=-154
-27v+8=-154
Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.
-27v+8=-154
-27v=-162
v = 6
<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.
___
<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%.
_____
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.
Answer: False
Systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Finding the missing angle</u> :
- 22° + ∠R + 72° = 180°
- ∠R = 180° - 94°
- ∠R = 86°
<u>Applying the Law of Sines</u> :
<u>Substituting the known values</u> :
- sin 22° / P = sin 86° / 18
- P = sin 22° × 18 / sin 86°
- P = 0.374606593 × 18 / 0.99756405
- P = 6.76 cm
