Lucinda began the year with a certain balance in her bank account. During the first month, she made 3 withdrawals of $25 each. D
2 answers:
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The horizontal line has equation . The line is solid, and everything below it is shaded, which translates to the inequality
. (so not B nor D)
The dashed line must have equation . Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both
and
, so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be
.
This means the answer is A.
Answer:
d. x les-than-or-equal-to 3 Graph B
Graph B expressed as follows; The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Step-by-step explanation:
The given inequality is expressed as follows;
0.5·x + 3 ≥ 2·x - 1.5
Let y₁ = 0.5·x + 3, and y₂ = 2·x - 1.5, we get;
For x = -1, 0, 1, 2, 3, 4, 5, 6
y₁ = 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6
y₂ = -3.5, -1.5, 0.5, 2.5, 4.5, 6.5, 8.5, 10.5
From the given data, the lines intersect at (3, 4.5)
The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Please find attached the required inequality created with MS Excel
Therefore, we have;
3 + 1.5 ≥ 2·x - 0.5·x
4.5 ≥ 1.5·x
∴ 3 ≥ x
x ≤ 3
Therefore, with (typographical) correction, the best option is x les-than-or-equal-to 3 Graph B
we are given
we can see that
each terms are multiple of 2
so, we can factor out 2
we can divide both sides by 2
we can rearrange it
now, we can move 10 on right side
now, we can add both sides 7^2 and 5^2
we can simplify it
we can also write as
..............Answer