<img src="https://tex.z-dn.net/?f=2x%20%7B%20%7D%5E%7B2%7D%20%20%2B%205x%20-%203" id="TexFormula1" title="2x { }^{2} + 5x

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NeX [460]

2 years ago

alt="2x { }^{2} + 5x - 3" align="absmiddle" class="latex-formula">
how do I solve this

Mathematics

1 answer:

Kaylis [27]2 years ago

5 0

If you’re factoring it, it’s

(2x - 1) (x+3)

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Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.

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Answer:

DP=9

Step-by-step explanation:

DS=4

DP=5

DP=DS+DP=4+5=9

DP=9

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Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x

fredd [130]

Answer:

The solution of the inequation $6\cdot x^{2} \geq 10 + 11\cdot x$ is $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

$6\cdot x^{2} \geq 10 + 11\cdot x$

$6\cdot x^{2}-11\cdot x -10 \geq 0$

$6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0$

Roots are found by Quadratic Formula:

$r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}$

$r_{1} = \frac{5}{2}$ and $r_{2} = -\frac{2}{3}$

Then, the factorized form of the inequation is:

$6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0$

By Real Algebra, there are two condition that fulfill the inequation:

a) $x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0$

$x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}$

$x \geq \frac{5}{2}$

b) $x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0$

$x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}$

$x\leq -\frac{2}{3}$

The solution of the inequation $6\cdot x^{2} \geq 10 + 11\cdot x$ is $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

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3 years ago

12.) (5pts) Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot hd

Maksim231197 [3]

Answer:

If those are the sides of the garden then it should be 86ft to fence around her garden.

Step-by-step explanation:

Add them together and then multi ply it by two.

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2 years ago