What is the vertex of this
quadratic function?
y = 4(x-3)2 – 8

The vertex of is at .

Step-by-step explanation:

Consider a quadratic function with the point as the vertex (for some constants and .) It would then be possible to express this function in the vertex form for some constant where . (Note the minus sign in front of .)

For example, the quadratic function in this question is expressed in this vertex form:

.

The values of and are and , respectively. Thus, the vertex of this parabola would be at the point .

The answer is in the image 

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

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The answer is in the image 

The answer is in the image 

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76