The ordered pair is included in the solution set to the following system is (0,2)
<h3>Set of inequalities</h3>
Given the set of inequalities
y > x2 + 1
y < x2 – x + 1
Equate both expressions to have:
x^2 + 1 = x^2 - x +1
1 = -x + 1
x = 0
Substitute x = 0 into any of the function
y = x^2 + 1
y = 1
This shows that the ordered pair is included in the solution set to the following system is (0,2)
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Answer:
21.6 mph
Step-by-step explanation:
The fishing boat traveled 30 miles and the air carrier is 100 apart meaning its 130 miles. It's in 6 hours so you do 130 ÷ 6 = 12.6mph
Answer:
B 110
Step-by-step explanation:
The formula for circumference is C= pi × d
(I couldn't find the symbol for pi)
You would plug in 35 for d to solve. You get a long decimal so you round it to 110.
So the approximate circumference for the tabletop is 110 inches.
The point that is a solution to the system of inequalities is (5, 0)
<h3>How to determine the points on the solution?</h3>
The system of inequalities is given as:
y ≤ 2x + 2
y ≥ -5x + 4
Next, we test the given options.
From the list of options, we have
(x, y) = (5, 0)
Substitute (x, y) = (5, 0) in y ≤ 2x + 2 and y ≥ -5x + 4
y ≤ 2x + 2
0 ≤ 2 * 5 + 2
0 ≤ 12 -- this is true
y ≥ -5x + 4
0 ≥ -5 * 5 + 4
0 ≥ -21 -- this is true
Since both results are true, then it means that the point that is a solution to the system of inequalities is (5, 0)
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<u>Complete question</u>
Which point is a solution to the system of inequalities graphed here? y ≤ 2x + 2
y ≥ -5x + 4
A. (1,6)
B. (-6,0)
C. (0,5)
D. (5,0)
