10 Which value of x makes the inequality 3x+3 > 15
2 answers:
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Answer:
C
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line
m = =
note that the line crosses the y-axis at (0, - 2) ⇒ c = - 2
y = x - 2 ← equation of line
Since the parabola is connecting the points, it means that the points given are on the parabola or that the points are solutions of the parabola. Thus, when we substitute the points into the function, we should end up with the correct y-value.
To find the correct choice, let's test a point. An easy point to test I believe would be (-3, 0) because we should be getting 0 as a y-value. Let's test:
We can see that Choice B is the correct function, because it produces 0 when we substitute . Thus, Choice B, or (x + 3)(x - 4) is the answer.