Someone pls help me with math
1 answer:
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Answer:
f(x) = 3x^2 -21x +36
Step-by-step explanation:
The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...
f(x) = 3(x -3)(x -4)
Multiplying this out, we get ...
f(x) = 3(x^2 -7x +12)
f(x) = 3x^2 -21x +36
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
