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
Learn more : /brainly.com/question/4521517
Step-by-step explanation:
Answer:
your are a fatherless child ligma nuz
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = 
, then
cos30° = 
= 
= ( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10 → B
Answer:
Option C (The mean would decrease).
Step-by-step explanation:
In this question, there are 16 observations and their mean is 80. There is an outlier which has the value 91. This means that the outlier is on the greater side of the mean. The formula for mean is:
Mean = Sum of observations/Number of Observations.
Sum of observations can be calculated by substituting the values in the above formula.
80 = Sum/16.
Sum = 80*16 = 1280.
Subtracting 91 from the total sum will give the sum of rest of the 15 non-outlier values. Therefore 1280 - 91 = 1189.
Calculating the mean of the 15 values:
Mean = 1189/15 = 79.267 (correct to 3 decimal places).
It can be seen that removing the outlier decreases the mean. Therefore C is the correct answer. The information regarding the median cannot be determined since actual values are not present, which are required to calculate the median. Therefore, C is the correct choice!!!
Square out the quantity (sin + cos) and look at all the pieces. You'll find pieces equal to '1', and a piece equal to sin(2x).
