The ordered pair (3, 2) satisfy the both inequalities it means it lies in the intersection region of both the inequality option (A) is correct.
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
2x + 4y ≤ 12
3x - y < 2
Plug (-3, 2) in the above inequality:
2(-3) + 4(2) ≤ 12
-6 + 8 ≤ 12
2≤ 12 (True)
3(-3) - 2 ≤ 12
- 9 - 2 ≤ 12
-11 ≤ 12 (True)
Similarly, we can check for other inequalities.
Thus, the ordered pair (3, 2) satisfy the both inequalities it means it lies in the intersection region of both the inequality option (A) is correct.
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Answer:
Step-by-step explanation:
First you need to break the shape up to rectangles to make it easier to solve.
bottom rectangle : 15 x 3 = 45m^2
Top rectangle : 12 x 3=36m^2
Middle rectangle : 12-3-3=6 (because we already solved the top and bottom part of it)
we need to work out the base so we do 15-5= 5cm
6 x 5 = 30m^2
add them all together
30+36+45=111m^2
Answer:
Yes, y is a function of x.
Step-by-step explanation:
For a proportional relation, the equation is given by:
where k is the unit rate of change.
We were told that, Lin's sister earns $9.6 per hour.
This means k=9.6.
We substitute to get:
We could rewrite this as
Yes, y is a function of x.
To obtain an equation describing x as a function of y, we solve for x to get: