Matt's family rented a car to go on vacation the cost of the rental was $50 plus an additional $0.20 per mile driven his family
1 answer:
You might be interested in
a. Find the graph of their common region in the attachment
b. The area of the common region of the graphs is 8 units²
<h3>a. How to sketch the region common to the graphs?</h3>Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.
- The graph of x ≥ 2 is the region right of the line x = 2.
- The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
- To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.
So, the graph of x + y ≤ 6 is the region below the line y = - x + 6
From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)
Find the graph of their common region in the attachment
<h3>b. The area of the common region</h3>From the graph, we see that the common region is a right angled triangle with
- height = 4 units and
- base = 4 units
So, its area = 1/2 × height × base
= 1/2 × 4 units × 4 units
= 1/2 × 16 units²
= 8 units²
So, the area of the common region of the graphs is 8 units²
Learn more about region common to graphs here:
#SPJ1
Answer:
or
Step-by-step explanation:
Given:
A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.
Remaining peaches = 4
We need to find the original number of peaches in the basket.
The farmer gives the total number of peaches =
Let x be the former gives the total number of peaches
We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.
We add the remaining peaches by given peaches for the original number of peaches in the basket.
Original number of peaches =
Original number of peaches =
Original number of peaches =
Original number of peaches =
Original number of peaches =
Therefore the original number of peaches in the basket is or