The vertical stretch of f(x) to g(x) is a factor of 5
<h3>How to determine the dilation?</h3>
The functions are given as:
f(x) = x
g(x) = 5x
Substitute f(x) = x in g(x) = 5x
g(x) = 5f(x)
In th above equation, the factor is 5.
5 is greater than 1 (this means vertical stretch)
Hence, the vertical stretch of f(x) to g(x) is a factor of 5
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The numeric values for the given functions are as follows:
<h3>How to find the numeric value of a function or of an expression at a given point?</h3>
To find the numeric value of a function at x = a, we replace each instance of the variable, usually x, in the function by the desired value of a.
Function f(x) is defined by:
f(x) = x².
For the numeric value at x = 1/3, we replace the lone instance of x by 1/3, hence:
f(1/3) = (1/3)² = 1/9.
Function g(x) is defined by:
g(x) = 2x.
For the numeric value at x = 4, we replace the lone instance of x by 4, hence:
g(4) = 2(4) = 8.
For the numeric value at x = -3, we replace the lone instance of x by -3, hence:
g(-3) = 2(-3) = -6.
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Answer
-14
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
sin(theta)=7/8, theta=arcsin(7/8)=61
Simply divide the two quantities with the appropriate unit.
460.28 ounces / 12.44 hours = 37 ounces per hour