Answer: 9.25
Step-by-step explanation:
Given:
Table of values.
The train travels at a constant speed.
To find:
The speed of train in miles per hour.
Solution:
From the given table consider any two points, i.e., (0.5,22.5) and (1,45).
The train travels at a constant speed. It means, there is a linear relationship between time and distance.
The average rate of change (Slope) of a linear relationship is
So, average rate of change in distance with respect to time is 45.
Therefore, the speed of the train is 45 miles per hour.
Answer:
23.142857143 calories or 23 1/7 calories
The unit rate is calories per cup
Step-by-step explanation:
7- cup serving = 81 calories
2 cups = x calories
Cross Multiply
2 cups × 81 calories = 7 cups × x
x = 2 cups × 81 calories/7 cups
x = 23.142857143 calories or 23 1/7 calories
Answer:
f(g(5)) = 64
g(f(5)) = 28
Step-by-step explanation:
Given that f(x) = x^2 and g(x) = x+3
f(g(x) = f(x+3)
f(x+3) = (x+3)^2
f(g(x)) = (x+3)^2
f(g(5)) = (5+3)^2
f(g(5)) = 8^2
f(g(5)) = 64
b) g(f(x)) = g(x^2)
g(f(x)) = x^2 + 3
g(f(5)) = 5^2 +3
g(f(5)) = 25 + 3
g(f(5)) = 28
Hence the value of g(f(5)) is 28
Answer:
All the points are the same distance from the center of line AB, therefore it is just the same triangle but rotated. They are the same triangle .
Step-by-step explanation:
