State the various transformations applied to the base function f(x) = |x| to obtain a graph of the function g(x) = |x + 1| − 2.

Step-by-step explanation:

2 units downward and 1unit to the left

The base function was shifted 3 units right and 5 units up to obtain the transformed function.

Step-by-step explanation:

The base function is

This is a parabola that opens up with vertex at origin.

The transformed parabola has equation:

Comparing to

We have the vertex of the transformed function at (h,k)=(3,5).

This is in the first quadrant.

This means the base function was shifted 3 units right and 5 units up.

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581