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1 year ago

( i will give brainlist ) What is the equation of the following graph?

Mathematics

1 answer:

Ne4ueva [31]1 year ago

7 0

Answer:

y= ⅓x +2

Step-by-step explanation:

Since the graph is a linear graph, let's use the slope-intercept form to find its equation.

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.

Thus, y= mx +2.

Let's find the slope of the graph.

First, identify 2 pairs of coordinates from the graph:

(0, 2) and (3, 3)

Next, substitute these coordinates into the slope formula below:

$\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }$

slope

$= \frac{3 - 2}{3 - 0}$

$= \frac{1}{3}$

Thus, the equation of the graph is y= ⅓x +2.

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Quick question

zaharov [31]

Answer:

False

Step-by-step explanation:

Let us evaluate the problem using the proper order of operation:

4x − 2(5x − 1)

To solve this problem, we use the order of operation called PEMDAS;

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now, since operations inside the parentheses are of the utmost priority, let us solve this;

4x − 2(5x − 1)

= 4x - 10x +2

= -6x + 2 or 2 - 6x

We see that the solution give is false.

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2 years ago

Read 2 more answers

The cost to ride a ferris wheel is $2.00 per person. The ferris a wheel has a capacity of

irakobra [83]

Answer:

When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)

In this case, we have a function M(p) = $2*p

This function represents the amount of money collected depending on the number of people who ride on the ferris whell.

Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).

And we also know that the maximum capacity of the ferris is 64 people.

Then:

p ≤ 64

And we also should add the restriction:

0 ≤ p ≤ 64

(Because p can't be smaller than zero)

Such that p should also be an integer, then, the domain is:

D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}

7 0

2 years ago

Solve the equation: <img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20-%203%20%3D%200" id="TexFormula1

Genrish500 [490]

Answer:

$delta = {7}^{2} - 4 \times 2 \times ( - 3) \\ = 49 + 24 = 73 \\ x 1= \frac{ - 7 + \sqrt{73} }{4} \\ x 2= \frac{ - 7 - \sqrt{73} }{4}$

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2 years ago

Which is the correct answer

VashaNatasha [74]

Let s denote the number of pages in each issue of the sports magazine.

Let t denote the number of pages in each issue of the technology magazine.

Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.

This can be written in equation as,

$12s=10t+32$

Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".

This can be written in equation as,

$s=t-18$

Thus, the set of equations that represent the given data is

$12s=10t+32$ and $s=t-18$

Hence, Option A is the correct answer.

7 0

3 years ago

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represen

Oxana [17]

Answer:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

Step-by-step explanation:

Given that:

Kevin charges $10 plus $5 per hours

C = 5h + 10

To find:

The table of values for hours worked from 1 to 5.

Solution:

First of all, let us put h = 1 in the given equation:

C = 5 \times 1 + 10

C = 5 + 10 = $15

Now, let us put h = 2 in the given equation:

C = 5 \times 2 + 10

C = 10 + 10 = $20

Now, let us put h = 3 in the given equation:

C = 5 \times 3 + 10

C = 15 + 10 = $25

Now, let us put h = 4 in the given equation:

C = 5 \times 4 + 10

C = 20 + 10 = $30

Now, let us put h = 5 in the given equation:

C = 5 \times 5 + 10

C = 25 + 10 = $35

So, the table becomes each row incrementing h by 1:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

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2 years ago