Answer:
The correct option is 3. The value of x is 8 inches.
Step-by-step explanation:
It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.
Multiply both sides by 16.
Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.
The length of x is 8 inches. Therefore the correct option is 3.
The composition of a function and its inverse is always <u>x</u>.
I hope this helps! :D
Answer:
37.7 mi²/h
Step-by-step explanation:
The area formula is ...
A = πr²
Differentiating with respect to time gives ...
dA/dt = 2πr·dr/dt
Filling in the given values, we have ...
dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h
The area is increasing at the rate of about 37.7 mi² per hour.
Answer:
Either B or C, most likely B tho
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
The value of x is 2.5.
The price of the cake should be 25 - 2.5 = 22.5.
Thus, the price of the cake that will give the maximum potential revenue is $22.5.
