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3 years ago

Which of the following equations represent nonlinear functions?

Mathematics

1 answer:

s2008m [1.1K]3 years ago

3 0

y=5x^2+7 is Non-Linear Functions

Option B is correct option.

Step-by-step explanation:

We need to identify Non-Linear Functions from the equations given.

First we will define Non-Linear Functions

<u>Linear Functions</u>

A function having exponent of variable equal to 1 or of the form y=c, where c is constant is called linear function.

<u>Non-Linear Functions</u>

A function that has variable having power greater than 1 (i.e 2 or above) is called non-linear function.

So, from all the options given, only Option B has power greater than 1 i.e 2. All remaining options are linear functions.

So, y=5x^2+7 is Non-Linear Functions

Option B is correct option.

Keywords: Linear and Non-Linear Functions

Learn more about Linear and Non-linear functions at:

#learnwithBrainly

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Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

madam [21]

Answer:

Step-by-step explanation:

Given system is

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

$2x+2=0\\x=\frac{-2}{2}=-1$

Then, we replace this value in one equation to find the other value

$x+y=0\\-1+y=0\\y=1$

Therefore, the solution is (-1,1)

4 0

3 years ago

Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

4 years ago

Please help me on this quick!! Thanks and please show work.

FinnZ [79.3K]

The two parallel bases b1 and b2 are
b1 = 12
b2 = 9
the order of which base you pick doesn't matter

The height is h = 10 and it's perpendicular to each base.

The area is...

A = (1/2)*h*(b1+b2)
A = (1/2)*10*(12+9)
A = (1/2)*10*(21)
A = 5*21
A = 105

Final Answer: B) 105 square centimeters

8 0

3 years ago

The sum of two numbers is 52 and the difference is 20. what are the numbers

IceJOKER [234]

36 + 16 = 52
36 - 16 = 20
So 36 and 16 are the numbers

7 0

3 years ago

Read 2 more answers

Graph ƒ(x) = 2x - 3.

Naya [18.7K]

Ok so your gonna go on the graph and your gonna go to -3 and make a dot then from that point you go up two times and over to the right once and that's your slope

5 0

3 years ago