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2 years ago

Can you please graph the following function:y=3x-1

1 answer:

3 0

To graph a linear function you need to determine two points of said function, plot them in the coordinates system and link them by a line.

The most easy point to find is the y-intersect. This is the value of y when x=0

Replace it in the equation:

$\begin{gathered} y=3x-1 \\ y=3\cdot0-1 \\ y=-1 \end{gathered}$

The y-intersect is (0, -1)

To determine the second point you have to select any value of x of your choise and replace it in the formula to determine the y-coordinate.

For example: x=4

$\begin{gathered} y=3x-1 \\ y=3\cdot4-1 \\ y=11 \end{gathered}$

The coordinates for the second point are (4, 11)

Now plot both points in the coordinate system and the line.

You might be interested in

A sample of n = 16 scores is selected from a population with LaTeX: \muμ = 80 with LaTeX: \sigmaσ = 20. On average, how much err

bagirrra123 [75]

Answer:

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 80, \sigma = 20$

On average, how much error would be expected between the sample mean and the population mean?

This is the standard deviation of the sample. We have that $n = 16$ . So

$s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{16}} = 5$

The answer is 5.

7 0

3 years ago

What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves

Oduvanchick [21]

Answer:

The answer is

$y = - \frac{5}{2} x - 1$

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

$5x + 2y = 12$

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

$5x + 2y = 12 \\ 2y = 12 - 5x \\ \frac{2y}{2} = \frac{12}{2} - \frac{5}{2} x \\ y = 6 - \frac{5}{2} x \: \\ or \: \\ y = - \frac{5}{2} x + 6$

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

$y = mx + c \\ 4 = - \frac{ 5}{2} ( - 2) + c \\ 4 = \frac{10}{2} + c \\ 4 = 5 + c \\ 4 - 5 = c \\$

$c = - 1 \\ hence \: the \: equation \: for \: the \: \\ parallel \: line \: is \\ \: y = - \frac{5}{2} x - 1$

8 0

2 years ago

The sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number. im too lazy to do this

Nataly [62]

Answer:

Step-by-step explanation:

let : x and t this numbers : x +y = -81/4

y == -52/3

x + (-52/3) = -81/4

x = -81/4 + 52/3........continue

4 0

3 years ago

Bigideasmath.

ratelena [41]

The total number of calories for 18 cups of milk is 1620 calories.
If two cups of milk is 180 calories then divide 180/2 to find the unit rate.
Then multiply 90 by the number of cups (18) and then you get the total number of calories for that many drinks.

6 0

3 years ago

Rainbow [258]

<span>The volume of a sphere is V = 4/3 x pi x r^3

The rind volume is the difference of two spheres. The radius of the inner sphere volume is, r - .1 r or .9 r. So the volume of the rind is

V = 4/3 x pi x r^3 - 4/3 x pi (.9 r )^3

V = 4/3 x pi x r^3 - 4/3 x pi x (.9^3) x r^3

Implicitly differentiating both sides with respect to t yields:

V' = ( 4 x pi x r^2 x r' ) - ( 4 x pi x (.9^3) x r^2 x r' )

This equation define the rate of change of the rind volume with respect to time.

As defined in the problem, r' = 2

As well, after 5 weeks the radius will be r = 2 * 5 = 10

V' = (4 x pi x 10^2 x 2) - (4 x pi x (.9^3) x 10 x 2)

V' = (800 x pi) - (800 x pi x (.729))

V' = (800 x pi) (1 - .729)

V' = (800 x pi)(.271)

V' = 681.09 cubic centimeters

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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3 0

4 years ago