Step-by-step explanation:
Turn the ratio into a fraction
2in /25 mi
You want to have miles so you can flip the fraction and mutiply to cancel out the inches
(25mi / 2in) x 5in = (25 mi x 5in) / 2in
The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
Learn more about Transforming functions:
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Step-by-step explanation:
answer is attached as image
Answer:
C
Step-by-step explanation:
Mean is the average. To find mean, add all the numbers in a data set, then divide by the number of values.
Example: 1,2,3,4,5
Mean: 1+2+3+4+5= 15
Number of values: 5
15/5 = 3
Mean is 3
3 less then x.......x - 3
is equal to 13...= 13
x - 3 = 13 <==