The answer to this question is c
The graph has a minimum point and is a parabola. Therefore, change the minimal value in the formula y = 3x2 + 7x + m. The value at the minimum point must be smaller than zero because the graph has two x-intercepts. The minimum point of the graph, which is a parabola, lies at x=-b/2a = -7/6.
What is Graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
The graph has a minimum point and is a parabola.
Therefore, change the minimal value in the formula y = 3x^2 + 7x + m.
The value at the minimum point must be smaller than zero because the graph has two x-intercepts.
The graph is a parabola, with x=-b/2a = -7/6 as the minimum.
3(49/36) – 49/6 + m < 0
49/12 – 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
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The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
It’s the last one because that one has no repeats. One outcome can not be listed twice
