We are given
length of rectangle is 4x-3
width of rectangle is 6x+9
we know that
Area of rectangle = length of rectangle*width of rectangle
so, we can plug value
and we get

now, we can distribute it

now, we can simplify it

...............Answer
For Example 3 :
First blank is cos (theta)
Second blank is sec(theta)
For Example 4 :
First blank is (x^4)/(2) - (3x^2)
Second blank is 0
Third blank is -4
Fourth blank is 0.4286
Hope this helps :)
Answer:
A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Step-by-step explanation:
A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.
B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.
{ x : 0 ≤ x ≤ 6; x ∈ Z}
ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.
{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
1.D
2.A
3.B
4.C
Hope This Helps :)
$1.50 is the correct answer.
(1/6)(2+2+2+1+1+1) =9/6 =$1.50