The ordered pairs which make the open sentence true are:
- (-1, 6).
- (4, -1).
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an algebraic expression based on any of the following arguments:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
For this exercise, you should evaluate each of the given expressions to determine which inequalities is true when the ordered pairs are substituted. This ultimately implies that, you would have to substitute the ordered pairs into each of the given algebraic expressions and then evaluate.
When ordered pairs = (3, 6), we have:
3x + y < 14
3(3) + 6 < 14
9 + 6 < 14
15 < 14 (False).
When ordered pairs = (7, -7), we have:
3x + y < 14
3(7) + (-7) < 14
21 - 7 < 14
14 < 14 (False).
When ordered pairs = (6, 0), we have:
3x + y < 14
3(6) + 0 < 14
18 - 0 < 14
18 < 14 (False).
When ordered pairs = (-1, 6), we have:
3x + y < 14
3(-1) + 6 < 14
-3 + 6 < 14
3 < 14 (True).
When ordered pairs = (4, -1), we have:
3x + y < 14
3(4) + (-1) < 14
12 - 1 < 14
11 < 14 (True).
Read more on ordered pairs here: brainly.com/question/22683073
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Answer:
-21 r^5
Step-by-step explanation:
(7r) (-3r^4)
Multiply the coefficients
7*(-3)
-21
Multiply the variables
r * r^4 = r^(4+1) = r^5
-21 r^5
Answer: 114.24 in
Step-by-step explanation:
To solve this problem you must apply the following proccedure:
1. You can see two quarter circles. You know that the radius of the circle is 16 inches. Then, the lenght a each quarter of of the circumference is:
3. Therefore, the perimeter is:
The answer is the second option.
60% decrease.
$105-$42 = $63
$63/$105 = 0.6
0.6 x 100 = 60
sales tax = 13.22 * .04
sales tax = .53 (round to the nearest cent)
total cost = cost of item + sales tax
total cost = 13.22 + .53
total cost = 13.75
