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2 years ago

Write the following equation in slope-intercept form 3x=-2y+4

Mathematics

1 answer:

Lorico [155]2 years ago

5 0

The form is y=mx+b

3x=-2y+4 (add 2y)

3x+2y=4 (subtract 3x)

2y=-3x+4 (divide by 2)

y= -2/3x+2

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Round 0.42 to the nearst tenth

Archy [21]

0.4 because if it’s five or more, add one more. If it’s four or less, let it rest.

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3 years ago

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Wha

seraphim [82]

Answer:

$\sum_{i=1}^n x_i =459$

$\sum_{i=1}^n y_i =1227$

$\sum_{i=1}^n x^2_i =24059$

$\sum_{i=1}^n y^2_i =168843$

$\sum_{i=1}^n x_i y_i =63544$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967$

And the slope would be:

$m=\frac{967}{650}=1.488$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51$

$\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33$

And we can find the intercept using this:

$b=\bar y -m \bar x=136.33-(1.488*51)=60.442$

So the line would be given by:

$y=1.488 x +60.442$

And then the best predicted value of y for x = 41 is:

$y=1.488*41 +60.442 =121.45$

Step-by-step explanation:

For this case we assume the following dataset given:

x: 38,41,45,48,51,53,57,61,65

y: 116,120,123,131,142,145,148,150,152

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =459$

$\sum_{i=1}^n y_i =1227$

$\sum_{i=1}^n x^2_i =24059$

$\sum_{i=1}^n y^2_i =168843$

$\sum_{i=1}^n x_i y_i =63544$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967$

And the slope would be:

$m=\frac{967}{650}=1.488$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51$

$\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33$

And we can find the intercept using this:

$b=\bar y -m \bar x=136.33-(1.488*51)=60.442$

So the line would be given by:

$y=1.488 x +60.442$

And then the best predicted value of y for x = 41 is:

$y=1.488*41 +60.442 =121.45$

3 0

3 years ago

Pls help I dont get it

iragen [17]

Answer:

y=4x

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the y intercept.

The slope formula is Δy/Δx, so using the coordinates (1, 4) and (2, 8), the slope is $\frac{8-4}{2-1}$ which equals 4.

The y intercept is 0.

Therefore, the equation is y=4x.

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3 years ago

What is the answer to Envelopes are sold in packages of 5o There are 4 large envelopes in each package. How many large envelopes

trasher [3.6K]

Answer:

Step-by-step explanation:

there are 4 in a pack of 50.

200/50=4.

4x4=16.

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2 years ago

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent t

Natalija [7]

Y= 9x. If 27 dollars is the cost for 3 hours, finding the price for one hour is simple. You would take the cost divided by the time. The slope would be 9 because if you graphed (1,9) (2,18) and (3,27) [the costs per the hours] you could find that, what I use, rise over run. Basically, you can count how far from two points to get slope. Starting with the y, from 9 to 18 is 9. Then, with x, 2 to 1 is 1. So, the slope is 9/1 or 9

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3 years ago