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3 years ago

Pls help me 4x-2y=14 y=1/2x-1

1 answer:

5 0

Judging by the problem you want me to use substitute method
Since why equals 1/2x-1 you
Do 2(1/2x-1)= x-2
You multiple by 2 cause there’s two on the top for y. So the problem is now 4x-x-2
Combine like terms 3x+2=14
Subtract two on both sides
3x=12
X=4
Go back to the bottom since u know x now do y= 4.1/2-1 solve to get one
Y=1 so your answer is (4,1)

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According to industry sources, online banking is expected to take off in the near future. The projected number of households (in

Airida [17]

Answer:

(a) The least-square regression line is: $y=4.662+2.709x$ .

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

$y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

(a)

The formula to compute intercept and slope is:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \end{aligned}$

The values of ∑X, ∑Y, ∑XY and ∑X² are computed in the table below.

Compute the value of intercept and slope as follows:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}$

The least-square regression line is:

$y=4.662+2.709x$

(b)

For the year 2007 the value of x is 10.

Compute the value of y for x = 10 as follows:

$y=4.662+2.709x$

$=4.662+(2.709\times10)\\=4.662+27.09\\=31.752\\\approx 31.8$

Thus, the number of households using online banking at the beginning of 2007 is 31.8.

5 0

3 years ago

What is the value of x so that the line segment with endpoints W(x, −2) and X(5, −4) is parallel to the line segment with endpoi

AysviL [449]

Answer:

x equals six start fraction one over two end fraction

Step-by-step explanation:

Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.

Slope of YZ is:

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{5-2} =\frac{4}{3}$

Since they are parallel, then WX has a slope of 4/3 too.

Slope of WX is:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3} = \frac{-4--2}{5-x}\\\\\frac{4}{3} =\frac{-2}{5-x}\\\\ (5-x)\frac{4}{3} = -2\\\\ 20 - 4x = -6\\\\-4x = -26 \\\\ x = 6 \frac{1}{2}$

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3 years ago

He Clark family bought 7 crates of eggs last week. Each crate had 12 eggs. Since then, they have eaten 17 of the eggs. How many

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Answer:

Step-by-step explanation:

If you mutiply 7 x 12 you would get 84 and then minus then how much they just ate to the number of how much there were from mutiplying which would be 84-17= 72

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3 years ago

113.0975 to 3 significant figures

Anit [1.1K]

Answer:

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Step-by-step explanation:

So 3 significant digits are 113.098

6 0

4 years ago

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Vesna [10]

Answer:

Step-by-step explanation:

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3 years ago

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