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3 years ago

Simplify 5 − (−1). The answer is 6

Mathematics

2 answers:

Sidana [21]3 years ago

7 0

Yep! 6 is correct !!

KIM [24]3 years ago

4 0

6 is the correct answer.

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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 $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

3 0

3 years ago

What is the solution to the equation?<br> 2<br> a+53 =<br> =9

Andre45 [30]

Answer:

-22

Step-by-step explanation:

8 0

3 years ago

An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287

Gennadij [26K]

The required value of mean and variance is 203 and 3942 respectively.
Hence option B is correct.

The sample includes the following claims: 192, 113, 200, 287, and 225.

<h3>What is Statistic?</h3>

The statistic is the study of mathematics which deal with relations between comprehensive data.

Mean(x) = 192+113+200+287+225/5
x = 203

variance = $\frac{\sum(x-x_i)^2}{n^2-1}$

=summation of squared value/n^2−1

=15769/25−1

=15769/24

=3942

Thus, the required value of mean and variance is 203 and 3942 respectively.

Learn more about Statistics here:

brainly.com/question/23091366

#SPJ128000544

8 0

1 year ago

If f(x) = 16x-30 and g(x) = 14(x)-6 for which value of x does (f-g) (x) = 0

almond37 [142]

This is a system where (f-g)(x) is wanted.
(16x-30)-(14x-6) .... 2x-24 *be careful with signs and parenthesis placement.

Now set 2x-24 = 0 and so x = 12

6 0

3 years ago

Leah is writing an equivalent equation which solves for y. What should be her next step? 3x+4y=8 Add 4y to both sides of the equ

ratelena [41]

The given equation is

$3x+4y=8$

And we have to solve for y.

Solving for y, means isolating y . And to isolate y, we need to get rid of 4 that is with y .

It means we have to separate 4 from y, and for separation , we have to perform division. That is, we have to divide both sides by 4, and that will be the next step .

So out of the four options, correct option is the last option .

4 0

2 years ago

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