Answer:
The calculated value is "0.214"
Step-by-step explanation:
Given expression :
solution:
For a field trip 5 students rode in cars and
2 answers:
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The inequalities in the system of inequalities are y > x² – 2x – 3 and y > 3x + 4
<h3>How to determine the system of inequalities?</h3>The graph that completes the question is added as an attachment
<u>The parabola</u>
It has a vertex of (1, -4)
So, we have:
y = a(x - 1)^2 - 4
It passes through (3, 0).
So, we have:
0 = a(3 - 1)^2 - 4
This gives
4a - 4 = 0
Solve for a
a = 1
Substitute a = 1 in y = a(x - 1)^2 - 4
y = (x - 1)^2 - 4
Expand
y = x^2 - 2x + 1 - 4
y = x^2 - 2x - 3
The inner part is shaded.
So, we have:
y > x^2 - 2x - 3
<u>The linear equation</u>
It passes through (0, 4).
So, we have:
y = mx + 4
It passes through (1, 7).
So, we have:
7 = m + 4
Solve for m
m = 3
Substitute m = 3 in y = mx + 4
y = 3x + 4
The upper part is shaded.
So, we have:
y > 3x + 4
Hence, the inequalities in the system of inequalities are y > x² – 2x – 3 and y > 3x + 4
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