The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the left three units and up t
1 answer:
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Answer:
It is given that the volume of a cone = cubic units
Volume of cone with radius 'r' and height 'h' =
Equating the given volumes, we get
=
It is given that the height is 'x' units.
Therefore,
Therefore, r = 3x
So, the expression '3x' represents the radius of the cone's base in units.
Answer:
Step-by-step explanation:
Let x be the number of miles.
We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.
Let us find the number of miles that Sully can drive with 16 gallons.
This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.
As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.
Upon substituting slope and y-intercept in slope-intercept form (y=mx+b), we will get our function as:
Therefore, our required function will be: .
Answer: OPTION A
Step-by-step explanation:
It is important to remember the "Angle Addition Postulate" in order to solve this exercise.
You have this larger angle:
According to the "Angle Addition Postulate", if the point "C" is in the interior of , then the measure of this angle can be obtained by adding the angle
and the angle
.
You can observe in the figure that:
Then you get that:
Therefore, the correct answer is Option A.