Answer:
V = 20πr²
Step-by-step explanation:
In this question, volume of the cylindrical tank has been defined as,
Volume V of the tank = Product of π, the square of the radius of the tank 'r' and the length of the tank 'h'.
Therefore, formula to calculate the formula will be,
V = πr²h
If the length of the cylindrical trailer is,
h = 20 feet
Then the volume of the trailer will be,
V = πr²(20)
V = 20πr²
Answer
Let f(x) = ax + b
Then
f(x + 1) = a(x + 1) + b
= ax + a + b
Hence, a = 3, and a + b = 5, b = 2
f(-2) = 3(-2) + 2
= -6 + 2
= - 4
f(2x) = 3(2x ) + 2
= 6x + 2
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
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Answer:
- your graph is correct
- y = 3x -5
Step-by-step explanation:
The graph shows you the line has a "rise" of 1-(-2) = 3 for a "run" of 2-1 = 1, so the slope is 3/1 = 3.
The y-intercept is seen to be -5, so the equation is ...
y = mx +b . . . . . where m is the slope (3) and b is the y-intercept (-5)
y = 3x -5
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The points and line are plotted correctly, so you already have your graph.
