Answer:
Step-by-step explanation:
y = e^(-3x)
Stretch by factor of 4
y = 4e^(-3x)
Reflect across y axis
y = 4e^(3x)
Shift up by 5
y = 4e^(3x) + 5
The n subject of m = n² + 3 is 
How is n made the subject of m = n² + 3 ?
m = n² + 3
n² = m- 3

What does making n the subject mean?
- To make n the subject of the formula or equation, we must rearrange the variables in the formula or equation to have a single variable n that is equivalent to the other variables in the formula.
- The equation is then rearranged such that each term containing n is placed on the same side of the equation.
- If n appears in several words, factorization might be necessary.
- Just one n needs to be displayed at the conclusion to make it the subject.
- The result of square rooting a number or variable as an inverse operation may be positive or negative.
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Answer:
A) 200 is to 300 dollars
B)150 is to 350 dollars
C) 250 is to 250
Step-by-step explanation:
Part A) We want to divide $500 in the ratio 2:3 using the unitary method.
The total ratio is 2+3=5.
This means one unit is
=$100
Therefore $500 in the ratio 2:3 is 2*100=200 to 3*100=300
Part B) We want to divide $500 in the ratio 3:7 using the unitary method.
The total ratio is 3+7=10.
This means one unit is
=$50
Therefore $500 in the ratio 3:7 is 3*50=150 to 7*50=350
Part C) We want to divide $500 in the ratio 1:1 using the unitary method.
The total ratio is 1+1=2.
This means one unit is
=$250
Therefore $500 in the ratio 1:1 is 1*250=250 to 1*250=250
Answer:
n^23
Step-by-step explanation:
n^3 · n^20 = n^23
Answer:
D
Step-by-step explanation: