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2 years ago

Solve the equation 0= x^2 + 4x– 12 by graphing.

Mathematics

1 answer:

DiKsa [7]2 years ago

8 0

Answer:

The answer is -6 or 2

Step-by-step explanation:

${x}^{2} + 4x - 12 = 0 \\ 4 \div 2 = 2 \\ x1 = - 2 - u \\ x2 = - 2 + u \\ x1x2 = ( - 2 - u)( - 2 + u) = - 12 \\ 4 - {u}^{2} = - 12 \\ 4 + 12 = {u}^{2} \\ 16 = {u}^{2} \\ \sqrt{16} = + \: or - \sqrt{ {u}^{2} } \\ u = + or - 4 \\$

$x1 = - 2 - 4 = - 6 \\ x2 = - 2 + 4 = 2$

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3 years ago

in a poll about work, 62% of respondents said that their jobs were sometimes or always stressful. twelve workers are chosen at r

Sladkaya [172]

The mean and standard deviation of number who find their jobs stressful are 7.44 and 1.6814 respectively.

Given,

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percentage of respondents =62%

from given data the calculation are done according to binomial distribution,

then,

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a)calculating mean,

$\mu=n*p\\\\\mu=12*0.62\\\\\mu=7.44$

b)calculating standard deviation,

$\sigma=\sqrt{n*p*(1-p)}\\\\\sigma=\sqrt{12*0.62*(1-0.62)}\\\\\sigma=\sqrt{7.44(0.38)}\\\\\sigma=\sqrt{2.8272}\\\\\sigma=1.6814$

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To learn more about binomial distribution refer here

brainly.com/question/15303817

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8 0

1 year ago

Find the measure of the indicated angle to the nearest degree

Y_Kistochka [10]

Answer:

32°

Step-by-step explanation:

use this formula :

Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:

Sin(x) = 28/53

Sin(x)= 0.5283018868

So to find x just do Sin^-1

x = Sin^-1 (0.5283018868)

you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚

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3 years ago

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Veronika [31]

Polynomial C or Answer C

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4 years ago

Read 2 more answers

a school netball team won ten matches , lost four and drew 1/8 of the total played . how many matches were drawn and what fracti

defon

The school net ball team drew 2 matches. The team won $\frac{5}{8}$ of total matches played

<h3><u>Solution:</u></h3>

Given, A school netball team won ten matches, lost four and drew $\frac{1}{8}$ of the total played

Let the total number of matches played be "n"

Number of matches drawn = $\frac{1}{8}$ of n

<em>Total matches played = number of won matches + number of lost matches + number of drawn matches</em>

$\begin{array}{l}{n=10+4+\frac{1}{8} n} \\\\ {n-\frac{1}{8} n=10+4}\end{array}$

Taking "n" as common from left hand side,

$\begin{array}{l}{\mathrm{n}\left(1-\frac{1}{8}\right)=14} \\\\ {\mathrm{n} \times \frac{8-1}{8} \quad 14} \\\\ {\mathrm{n} \times \frac{7}{8}=14} \\\\ {\mathrm{n}=16}\end{array}$

So, they played 16 matches in total

Number of matches drawn = $\frac{1}{8}$ of n = $\frac{1}{8} \times 16 = 2$ $\text { Fraction of won matches }=\frac{\text { number of matches won }}{\text { number of matches played }}=\frac{10}{16}=\frac{5}{8}$

$\text { Hence, the team drew } 2 \text { matches and won } \frac{5}{8} \text { of total played matches. }$

3 0

3 years ago