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3 years ago

6x − 3y = 42 6x + 8y = 20

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

Answer:

X= 6, y= -2

Step-by-step explanation:

Let 6x-3y=42------------(1)

6x + 8y =20---------(2)

Subtract (1) from (2) we have

(2) - (1)

6x-6x + 8y - (-3y) = 20 -42

11y = -22

y = -22/ 11 = -2

From (1)

6x - 3y =42

6x - 3(-2) = 42

6x + 6 = 42

6x = 42- 6

6x = 36

x= 36/6 = 6

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Answer:

13/12

Alternate form: 1.084 or 1, 1/12

Step-by-step explanation:

3/4+1/4

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Sadanavam1979 GREETINGS

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3 years ago

Read 2 more answers

AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

Dennis_Churaev [7]

First you have to know, that the price the agent found is 70% of $2075
(100%-30%=70%)
70%=0,7
$2075 * 0,7 = $1452,5
So 70% 0f $2075 is 1452,5

The price the agant found is $1452,5.

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3 years ago

Write down the degree of given polynomial 5x⁴+4x²+2x+1

shusha [124]

Answer:

Step-by-step explanation:

To find the degree of a polynomial, identify the term with the greatest exponent. The exponent of that term is the degree of the polynomial.

In the given polynomial 5x⁴+4x²+2x+1, the term with the greatest exponent is 5x⁴. This term has an exponent of 4, so therefore, the degree of the polynomial is 4.

I hope this helps!

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2 years ago

Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?

Helen [10]

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change: - 3/5, which is in fact the slope of the line the three points belong to.

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3 years ago