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3 years ago

Which are binomials (simplify)2x^2 + 7 x^3 +3x^2+2x4x-5x+x

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

2x^2+7

Step-by-step explanation:

Cause it has only two monomials

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Factored form of 2x*2+13x+20

cricket20 [7]

Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

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3 years ago

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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

Which of the following equations do not represent a proportional relationship?

N76 [4]

Answer: y = x

Step-by-step explanation: Since this does not correspond to a size or amount to a number, then this is not proportional

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Justin is 2 years older than one-third Marissa's age Amy is 4 years older than two times Justin's age then find Justin's age and

Lana71 [14]

Yes I am pretty sure

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9x + 9 + 2x - 7(3 + x) =

SashulF [63]

Answer:

4x-12 or 4(x-3)

Step-by-step explanation:

9x+9+2x-7(3+x)

9x+2x+9-21-7x

11x-12-7x

11x-7x-12

4x-12

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3 years ago

Which are binomials (simplify)2x^2 + 7 x^3 +3x^2+2x4x-5x+x​

Which are binomials (simplify)2x^2 + 7 x^3 +3x^2+2x4x-5x+x