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3 years ago

How many solutions does the nonlinear system of equations graphed below have?

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

8 0

The answer is Three - apex !!!

NeTakaya3 years ago

3 0

Answer:

Three solutions.

Step-by-step explanation:

In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.

If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.

For the given graph, we can see that there are three intersection points.

Hence, there would be three solutions.

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Does the table represent a linear function? Explain why or why not

OlgaM077 [116]

The table doesn't represent linear function

Step-by-step explanation:

We need to identify if the table represent a linear function or not.

<u>Linear Function </u>

A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.

Finding the slope of elements in the table:

x y

0 0

1 1

2 8

3 27

Slope= y/x

Slope = 0/0=0

slope = 1/1 = 1

slope = 8/2 = 2

slope = 27/3 = 9

The function represented is: y=x^3

Since the slope of points x and y in the table is not same, and its graph is not linear.

So, the table doesn't represent linear function

Keywords: Linear Function

Learn more about Linear function at:

#learnwithBrainly

4 0

3 years ago

Round 6709 to the nearest thousand

8090 [49]

7000 is 6709 rounded to the nearest thousand

3 0

3 years ago

Read 2 more answers

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

Please help someone

ratelena [41]

Answer:

1. Y

2. N

3. N

4. N

Step-by-step explanation:

Let's use the second equation, since it seems to be easier to use.

To check if an ordered pair is a solution, plug it in to the equation.

1. $-10+18=8$ --> Y

2. $25-12=13$ --> N

3. $0-9=-9$ --> N

4. $35-27=8$ --> N

Edit : The 4th equation doesn't work for the first equation, whereas the first one still does.

7 0

3 years ago

Read 2 more answers

FIRST PERSON TO ANSWER WILL GET THE BRAINLIEST!!! PLZ HELP!!!

erastovalidia [21]

The length of each side of the base is 9 inches. only 5 size of the cardboard box has an cardboard because of the sixth side is open

7 0

3 years ago