The graphed system of inequalities is:
- y ≥ x^2 - 2x - 3
- y ≤ x + 3
So the correct option is the third one.
<h3>Which system is represented by the graph?</h3>
On the graph we can see that the two lines are solid, so we need to use the symbols ≤ and ≥. (If instead, we had dashed lines, then we would need to use the symbols > and <).
We also can see that the region above the parabola is shaded (the shaded region represents the region of solutions for each inequality), and the region below the line is shaded, then the system of inequalities is of the form:
Only with that, we conclude that the correct option is the third option:
- y ≥ x^2 - 2x - 3
- y ≤ x + 3
If you want to learn more about systems of inequalities:
brainly.com/question/9774970
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The answer would be all of them except for 4,4 and 3,8 i’m pretty sure
Answer:
<u>There are 18 girls in a group that has 16 boys.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Number of girls in the grade = 81
Number of the boys in the grade = 72
Number of students in the grade = 81 + 72 = 153
2. Let's find the number of girls in a group that has 16 boys.
For getting that number we will use the Rule of three simple, this way:
Number of girls in a group that has 16 boys = (81 * 16)/72
Number of girls in a group that has 16 boys = 1,296 / 72
<u>Number of girls in a group that has 16 boys = 18</u>
<u>There are 18 girls in a group that has 16 boys.</u>
- 2x - 11 = - 25 :) hope this is ok
From the Pythagorean Theorem, we know that a^2+b^2=c^2
28^2+21^2=(5x)^2
784+441=25x^2
1225=25x^2
49=x^2
x=7
The length of the hypotenuse would be 35m.