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2 years ago

(1, 2) and (3, -2). writing equations in slope intercept form

Mathematics

2 answers:

yuradex [85]2 years ago

6 0

Answer:

y = - 2x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ( = (1, 2) and (x₂, y₂ ) = (3, - 2)

m = $\frac{-2-2}{3-1}$ = $\frac{-4}{2}$ = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2 ) , then

2 = - 2 + c ⇒ c = 2 + 2 = 4

y = - 2x + 4 ← equation of line

Volgvan2 years ago

5 0

Answer:

y=2x+1 and y=-2x+3

Step-by-step explanation:

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One-Half the difference of a number and 15

slega [8]

Answer:

x - 15 ÷ 2

Step-by-step explanation:

Since it wants you to find the half of your answer after you find the difference, be sure to leave the two at the end of your equation. With that said, let's move into finding out what "the difference of a number and fifteen is". Whenever they tell you 'a number', it means they want you to put a variable, such as x, since you do not know the number and it could be any number. Now, the "difference" of something usually means...you guessed it, subtraction! Now that you've decoded your equation, you now know it means that x - 15 is the first part, and you can now put the one half right after it.

If this is confusing, I can explain further. :D

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2 years ago

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Another way to write 9 x 200

Katyanochek1 [597]

200+200+200+200+200+200+200+200+200

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2 years ago

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What are the coordinates of the roots of the equation x sqaured + 4x + 3= 0

scZoUnD [109]

Answer:

the formula for the roots is

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Identify the values for

cmp

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)

Substitute these numbers into eh formula

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√

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(

)

(

)

Carefully proceed and do the calculations

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√

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√

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now calculate the two separate solutions

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Answer link

Step-by-step explanation:

8 0

1 year ago

Factor the polynomial:3x^3-x^2-15x+5

lina2011 [118]

(x^2-5)(3x-1)
Here's how I got this answer:
I found the GCF for each part of the polynomial.
3x^3 and -15x both contain 3x, and -x^2 and 5 share -1.
I then can divide the polynomial by 3x-1, and I get x^2-5
(Okay, that's not what I really did, but I can solve these on sight and don't remember the proper way to do it.)

6 0

2 years ago

Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hyp

Hatshy [7]

Answer:

We can assume that the statistic is $z_{calc}=0.78$

$p_v = 2* P(z>0.78) = 0.435$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:

Null hypothesis: $p=3/5$

Alternative hypothesis: $p \neq 3/5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

We can assume that the statistic is $z_{calc}=0.78$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v = 2* P(z>0.78) = 0.435$

7 0

2 years ago