The answer is 23.52 the keyword is each so you multiply.
Just multiply 1000 jumps by 3 to get your answer.
633,360,000 divided by 10,000= 63,360inches per mile
Chevy- 63,360 divided by 113.04= 560.5 times 10,000=5,605,000 rotations per mile
Bicyle- 63,360 divieded by 94.2= 672.6 times 10,000=6,726,000
Motorcycle- 63,360 divided by 100.48=630.6 times 10,000= 6,306,000
Option C:
The value of m is 4.
Solution:
Given data:
AB = 4m – 15
BC = 5m –6
AC = 15
<u>To find the value of m:</u>
Using segment addition postulate,
AB + BC = AC
4m – 15 + 5m –6 = 15
Arrange the like terms together.
4m + 5m – 15 – 6 = 15
9m – 21 = 15
Add 21 on both sides of the equation,
9m = 36
Divide by 9 on both sides of the equation.
m = 4
The value of m is 4.
Option C is the correct answer.
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C
Step-by-step explanation:
Let us revise some transformation
A vertical stretching is the stretching of the graph away from the x-axis
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
- f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
A horizontal stretching is the stretching of the graph away from the y-axis
A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
- If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
- If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.
∵ f(x) = x
∵ g(x) = f(-10x)
- Substitute x by -10x
∴ g(x) = -10x
∵ x is changed to 10x
- x multiplied by a number means shrink or stretch horizontally
∵ k = 10
∵ 10 > 1
∴ The graph of f(x) is shrunk horizontally by a factor of 10
∵ The value of g(x) is negative
- The negative sign of g(x) means reflection across x-axis
∴ The graph of f(x) is reflected about the x-axis
The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "
Learn more:
You can learn more about reflection in brainly.com/question/5017530
#LearnwithBrainly
