Answer:
G(x)=2x+1 , vertical stretch by 2 units and shifted 1 unit up
Given :
Original function f(x)=x
To find :
Function G whose graph is a vertical stretch by 2 and move one unit up
We use the given function to for vertical stretch and shifting up
for Vertical stretch multiply the factor by f(x)
f(x) becomes 2f(x)
so the function becomes 2x
For moving up , we need to add the units at the end of the function
f(x)+1
2x+1
Hence, G(x)=2x+1
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Step-by-step explanation:
Answer:
The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.
Step-by-step explanation:
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000
Since there are 6 sides to a cube we can divide the total surface area by 6 to find the area of a single side
384 / 6 = 64
since the side of a cube is a square the sides are the same length, so we need a number, that when multiplied by itself is 64. The answer is 8
