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3 years ago

Write the equation of the line in fully simplified slope intercept form

Mathematics

1 answer:

Lisa [10]3 years ago

3 0

Answer:

y = 6x - 5

Step-by-step explanation:

In order to determine the slope-intercept form, y = mx + b, of the given line:

You need to find the slope (m) and determine the y-intercept (b).

Given the points (1, 1) and (0, -5):

Let (x1, y1) = (1, 1)

(x2, y2) = (0, -5)

Use the following formula for slope:

m = (y2 - y1)/(x2 - x1)

m = (-5 - 1)/(0 - 1)

m = -6/-1

m = 6

The slope of the line is 6.

Next, the y-coordinate (b) of the point, (0, <em>b</em> ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Looking at the graph, you'll see that the line crosses at point (0, -5). We used this point earlier to solve for the slope. Hence, the y-coordinate, b = -5, is the y-intercept.

Given the slope, m = 6, and the y-intercept, b = -5:

The linear equation in slope-intercept form is: y = 6x - 5.

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the total cost of 4 pens and 7 mechanical pencials is 13.25 the cost of each penical is 75cent use the arithmetic to find the co

9966 [12]

Answer:

$2 per pen

Step-by-step explanation:

mechanical pencils: 5.25

all pens: 8

5.25+8= $13.25

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3 years ago

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3 years ago

Which is greater -3 or -1/3 ?

GenaCL600 [577]

Answer:

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

6 0

2 years ago

Read 2 more answers

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist

Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

$n=1200$ random sample taken

$\hat p=\frac{620}{1200}=0.517$ estimated proportion of people that would vote for the Republican candidate

$p$ true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1- p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The problem says that we need to use $\hat p =0.05$ , and replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604$

And rounded we have that n=9604

6 0

3 years ago

What is the value of x? º

attashe74 [19]

X equals 62 because you take 147 and subtract it from 180 and that gives you 33.
then you add 33 and 85 together to give you 118. Then you subtract 118 from 180 and that gives you 62.
x=62

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3 years ago

Read 2 more answers