The ordered pair (2,-1) is a solution the inequality.
Given the inequality is 3x-4y<12.
An inequality is a statement that compares two quantities and claims that one is greater or less than the other (the equation may also be included). These inequalities are linear if the variables are only linear.
By substituting each of the given option in the given inequality we will check which ordered pair satisfy the inequality.
1. (4,0)
Here x=4 and y=0
Substitute this in the inequality 3x-4y<12, we get
3(4)-4(0)<12
12<12
This is not true
2. (0,-3)
Here x=3 and y=-3
Substitute this in the inequality 3x-4y<12, we get
3(0)-4(-3)<12
12<12
This is not true.
3. (2,-1)
Here x=2 and y=-1
Substitute this in the inequality 3x-4y<12, we get
3(2)-4(-1)<12
6+4<12
10<12
This is true.
4. (4,-3)
Here x=4 and y=-3
Substitute this in the inequality 3x-4y<12, we get
3(4)-4(-3)<12
12+12<12
24<12
This is not true.
Hence, the ordered pair that satisfy the given inequality 3x-4y<12 is (2,-1).
Learn more about inequality from here brainly.com/question/21819032.
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Answer:
x=125°
Step-by-step explanation:
100° + 25° =125°
180°- 125° = 55°
and since adjacent angles on a line equal 180°
180° - 55° = 125°
x= 125°
Answer:
m = 8
Step-by-step explanation:
Answer:
in units: 18,900
in dollars: $ 41,013
Step-by-step explanation:
The break even point is the sales dollar amount or sales in unit at whichthe operating income of the firm equals to zero:
Where:
<em><u>Contribution margin:</u></em>
2.17 - 1.27 = 1 dollar per unit
Break even:
$18,900 fixed cost / $1 per unit = 18,900 units
Then, in sales:
18,900 x $2.17 each = 41.013
break even point:
Set up a proportion: (1/4)/6 = 32/x
Cross multiplying, we have (1/4)x = 192
x = (4)(192) = 768 miles
