In 12 seconds, Valerie counts 6 vehicles passing by her house. At that rate, how many vehicles would pass by in 4 hours

Write the equation of the line that has a slope of 2 and passing through (3,-4) point

wel

Answer:

$y=2x-10$

Step-by-step explanation:

We know that the line has a slope of 2 and it passes through the point (3, -4).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

$y-(-4)=2(x-3)$

Solve for y. Distribute the right:

$y+4=2x-6$

Subtract 4 from both sides. Therefore, our equation is:

$y=2x-10$

4 0

3 years ago

Plz help i can’t figure it out

Ivan

Answer:

-(x-10)=7

-x+10=7

-x=7-10

-x=-3

x=3

5 0

4 years ago

Read 2 more answers

Choose the inequality that represents the following graph.

inysia [295]

Answer:

C

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

Method 1:

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$

Here α = intercept, β = slope and e = error.

The formula to compute the intercept is:

$\alpha =\bar y-\beta \bar x$

Here $\bar y$ and $\bar x$ are mean of the y and x values respectively.

$\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}$

The formula to compute the slope is:

$\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}$

And the formula to compute the error is:

$e=y-\alpha -\beta x$

Method 2:

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

$(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)$

Here r = correlation coefficient = $r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }$

$\sigma_{x}$ and $\sigma_{y}$ are standard deviation of x and y respectively.

$\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}$

3 0

3 years ago

Which times and distances are represented by the function?

alexdok [17]

Can u put a picture of the question with this so I can answer it.

7 0

3 years ago