Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independent variable.
f of q = one-half q minus three-halves
f(q) = 2s + 3
f of s = one-half s minus three-halves
f(q) = 2q + 3

The equation in function notation is:

=

Explanation:

Given equation:

Where q is the independent variable.

To write the equation in function notation we will do the following:

Step 1 : divide 6 on both sides:

The function notation will become:

The equation in function notation is:

=

Explanation:

Given equation:

Where q is the independent variable.

To write the equation in function notation we will do the following:

Step 1 : divide 6 on both sides:

The function notation will become:

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

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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.

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2