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2 years ago

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Mathematics

1 answer:

Ivenika [448]2 years ago

7 0

m = (-1 - 4) /(2-3) = -5/-1 = 5

slope = 5

passing (3, 4)

y = mx + b

4 = 5(3) + b

4 = 15 + b

4 -15 = b

-11 = b or b = -11

answer:

equation

y = 5x - 11

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Whoops i forgot to read the lesson :P 30 points

andriy [413]

Step-by-step explanation:

I'll do 2.

Alright,Alex let say we have factored a quadratic into two binomial, for example

$(5x + 3)(6x - 4)$

If we set both of those equal to zero

$(5x + 3)(6x + 4) = 0$

We can used the zero product property in this case to find the roots of the quadratic equation.

This means that

$if \: ab = 0 \: then \: a = 0 \: and \: b = 0$

This means we set each binomal equal to zero to find it root.

$5x + 3 = 0$

$5x = - 3$

$x = - \frac{3}{5}$

$6x + 4 = 0$

$6x = - 4$

$x = - \frac{2}{3}$

So our roots are negative 3/5 and negative 2/3 using zero product property

6 0

2 years ago

1. A football team gains 2 yards on the first play,

Ilya [14]

Option C

The football team had a overall loss of 2 yards

Solution:

When the team gains yards we use a positive value, and when the team loses yards we use a negative value.

Given that, football team gains 2 yards on the first play

First play = +2

Given that football team loses 5 yards on the second play

Second play = -5

Given that football team loses 3 yards on the third play

Third play = -3

Given that football team gains 4 yards on the fourth play

Fourth play = +4

Put the yards from four plays together, we get

⇒ 2 -5 -3 + 4

Let us simplify

⇒ -3 -3 + 4 = -6 + 4 = -2

So, -2 represents loss of two yards (since negative value indicates loss)

3 0

3 years ago

Sylvie is going on vacation. She has already driven 58 miles in one hour. If she then travels for 6 hours at an average speed of

Vlada [557]

The answer would be 360 miles

8 0

2 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are

Nastasia [14]

Answer:

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

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.36$ estimated proportion with the survey

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:

Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

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

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

8 0

3 years ago

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(-1/9) ÷ 6/7 = Help Me Pls :)

german

Answer:

I believe your answer is -7/54

3 0

2 years ago

Read 2 more answers