All categories

1 year ago

3x-4y=0 2x+y=110 no solution

Mathematics

1 answer:

weeeeeb [17]1 year ago

5 0

Answer:

(x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

3x -4(110 -2x) = 0 . . . . substitute for y

11x = 440 . . . . . . . . . simplify, add 440

x = 40 . . . . . . . . . . divide by 11

y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

You might be interested in

The table shows sets of ordered pairs that form a relation. Does each set of ordered pairs represent a function? Select Function

Ierofanga [76]

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

Step-by-step explanation:

An ordered pair represents a relationship between two values

The first value is the input the second value is the output

1. A relation is a set of inputs and outputs

2. A function is a relation with one output for each input

3. All functions are relations

{(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(1 , 7) , (−1 , 7) , (8 , −6) , (−3 , 2)} is a function

{(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)}

∵ The x-coordinate 4 has two values of y (7 and -6)

∴ The relation above is not a function

The set of ordered pairs {(4 , 7) , (−1 , 2) , (4 , −6) , (−3 , −2)} is not a

function

{(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(3 , 7) , (−1 , 2) , (−4 , −2) , (−3 , −2)} is a function

{(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)}

∵ Each x-coordinate in each ordered pair has only one y-coordinate

∴ The relation above is a function

The set of ordered pairs {(−3 , 7) , (1 , 2) , (4 ,−2) , (12,−4)} is a function

Learn more:

You can learn more about function in brainly.com/question/10382470

#LearnwithBrainly

6 0

2 years ago

ONLY GIVING BRAINLYEST IF YOU ANSWER QUICKLY AND CORRECTLY

k0ka [10]

Answer:

B and D

Step-by-step explanation:

First, you have to solve the first equation. (Hint: you use the distributive property.)

2(5x + 2 + x)

10x + 4 + 2x

12x + 4

We can already see that B is correct and A is incorrect.

Now to solve C and D.

C = 2(5x + 3)

10x + 6

This is incorrect.

D = 2(6x + 2)

12x + 4

This is correct.

4 0

2 years ago

Read 2 more answers

BH and ND intersect at A. If m

nasty-shy [4]

Bruh

you realize this one does not have the full question either right?

8 0

2 years ago

2. Consider the function, f(x)=x^3+x^2-9x-9

Sedaia [141]

The intercepts of the graph are:

x-axis interception: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception: $\left(0,\:-9\right)$ .

See the graph of the function $f(x)=x^3+x^2-9x-9$ in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.

Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: $\left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21$ . Do this for the all x-values of your ranges.

See the results for this step in the attached table.

Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0) are: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception point (x=0) is: $\left(0,\:-9\right)$ .

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0

2 years ago

Height of a parallelogram is half it's base.if it's area is 200 sq cm.find it's height and base.

Scilla [17]

Answer:

Step-by-step explanation:

4 0

3 years ago