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lozanna [386]
2 years ago
7

Help!!!1!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
ad-work [718]2 years ago
3 0
Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.

Vertex form is
   y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.


Equation B reveals its extreme value without needing to be altered.
The extreme value of this equation is a maximum at the point (2, 5).

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<h2>(5x+4)(x-1)</h2>

Step-by-step explanation:

5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)

6 0
3 years ago
Read 2 more answers
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