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2 years ago

Need help graphing each linear function?

Mathematics

1 answer:

Pavel [41]2 years ago

7 0

You need only two points to graph a linear function. ...
Determine the x intercept, set f(x) = 0 and solve for x. ...
Determine the y intercept, set x = 0 to find f(0). ...
The graph of the above function is a line passing through the points (-2 , 0) and (0 , 4) as shown below.

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What is 10x -5 + 3x -2

Rus_ich [418]

$10x -5 + 3x -2$ , original equation

$10x + 3x = 13x$ $-5-2=-7$

$13x -7$ , final answer

8 0

1 year ago

A system of equations is graphed on a

Ira Lisetskai [31]

Answer:

(1, 4)

Step-by-step explanation:

$\text{It looks as if "they" are asking you to solve the problem graphically.}\\\text{Then, you must solve each equation for y, plot a few points for each graph,}\\ \text{and see where each graph intersects. }$

$\begin{array}{rcl}(1) & 2x + 3y = 12 & \\& 3y = 12 - 2x& \text{Subtracted 2x from each side}\\ & y = 4 - \dfrac{2}{3}x & \text{Divided each side by3}\\\\(2) & 4x + 2y =10& \\& 2y = 10 - 4x& \text{Subtracted 2x from each side}\\ & y = 5 - 2x & \text{Divided each side by 2}\\\end{array}\\$

Below are a few points for Equations (1) and (2).}

$\begin{array}{cc|cc}\mathbf{x} & \mathbf{y} & \mathbf{x} & \mathbf{y}\\0 & 4 & 0 & 5\\& & 1 & 3\\& & 2 & 1\\3 & 2 & &\\6 & 0 & &\\\end{array}\\$

Equation (1) is the blue line in the graph below.

Equation (2) is the red line.

The two lines cross at the black dot

Your four points are labelled . The one that is closest to the intersection is (1, 4).

The approximate solution to the system of equations is (1, 4).

8 0

2 years ago

Lulu wants to get fit. She started with 50 laps a day and she intends to add 10 laps every week. Write a mathematical expression

Bumek [7]

The mathematical expression for the given statement is 50 + 10x

<h3>How to write a mathematical expression for this statement?</h3>

The given parameters are:

Initial distance = 50 laps

Rate of increment = 10 laps each week

Represent the number of weeks with x

So, we have:

Number of laps = Initial distance + Rate of increment * Number of weeks

This gives

Number of laps = 50 + 10 * x

Evaluate

Number of laps = 50 + 10x

Hence, the mathematical expression for the given statement is 50 + 10x