why do systems of nonlinear equations sometimes have more than one solution

Answers

Answer 1

Answer:

System has equal number of unknowns and equations.

Manipulation easily yielded expressions for 4 of the 7 unknowns.

However it seems that the remaining 3 unknowns x,y,z are not fixed by the equations. Different combinations (x0,y0,z0) seem possible without violating the system equations.

Is this possible, or did I most probably make a mistake in counting degrees of freedom?

Step-by-step explanation:


Related Questions

Follow the order of operations to simplify
1. 60 ÷ 10×3
2. 12 + 3×7
3. 4×3+2×8​

Answers

1. 18
2. 33
3. 28

explain: division first so 6x3
multiply first so 12+21
multiply both then add so 12+16
I think it’s 2 60/30 since it is pemdas parentheses exponents multiplication division add subtract

Which of the following equations would be parallel to the line x = 3?

1. y = 3x

2. y = 1

3. y = x

4. x = 5

Answers

Answer:

4. x = 5

Step-by-step explanation:

For two lines to be parallel they must have the same slope, but not be the same line. Both x=3 and x=5 both have slopes of 0, so they are parallel. Another way to tell is that x=3 is a vertical line; therefore, it will be parallel to any other vertical line, such as x=5.

The last answer is correct... x = 5

The number of student athletes at a high school is 475 and is increasing at a rate of 4.8% per year. Use an exponential function to find the number of student athletes after 9 years.

please show your work!!!

Answers

Answer:

475 × 1.48^9 or 16182

Step-by-step explanation:

We start with 475. Then to find the number of students after 1 year we mult 475 by 1.48 (48% + 1 because we're increasing in students). But, to get it after 9 years, we raise that 1.48 to the power of 9 which is equal to 1.48 * 1.48 * 1.48 and so on 9 times. This leads us to our final equation of 475 * 1.48^9 or roughly 16,182

Answer:

Step-by-step explanation:

475 4.8

What is the approximate volume of the cone?

Use 3.14 for π.


57 cm³

339 cm³

509 cm³

1526 cm³
Outline of cone with a dotted line rising from middle of base to the point. Line is labeled 6 cm. A second dotted line extends horizontally from middle of base to its edge. Line is labeled 9 cm.

Answers

Answer:

D is the answer most  likely your answer

Step-by-step explanation:

3.14x81x6=1526.04 which rounding would be 1526cm^3

Find the total surface area of this cylinder.
Give your answer to 1 decimal place.
7 cm
15 cm

Answers

Answer:

For the first figure :

Cylinder :

Radius =7cm

height = 15cm

Total Surface Area:

2 \times \pi \times r(h + r)2×π×r(h+r)

= 2×22/7×7 (15+7)

= 22×44

= 968 cm sq.or 9.68m sq.

For the second figure :

Diameter = 24cm (radius= 24/2= 12cm)

•Height = 18 cm

Total Surface area:

2 \times \pi \times r(h + r)2×π×r(h+r)

= 2×22/7×12 (18+12)

= 2×22/7×12 (30)

= 2×22×12×5

= 2640 cm. sq or 26.4 m.sq

The total surface area of this cylinder is 967.1cm²

Surface area of a cylinder.

The formula for calculating the total surface area of a cylinder is expressed as:

TSA = 2πr(r+h)

Given the following

radius r = 7cm

Height h =15cm

Substitute

TSA = 2π(7)(7+15)

TSA = 14π(22)

TSA=967.1 cm²

The total surface area of this cylinder is 967.1cm²

Learn more on total surface area of cylinder here: https://brainly.in/question/34192480

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50 POINTS
I'll mark you brainliest just please respond ASAP

The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company:

Graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. The vertex is at 5, 160.

Part A: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (3 points)

Part B: Describe the constraints of the domain. (3 points)

Answers

Answer:

A. The maximum represents the most amount of pencil price in dollars sold for the most amount of profit and the x-intercepts represent the profit when it is. The intervals at where the function increases represents a bigger profit for a price, whereas a decreasing interval represents a lower profit for a price.

Step-by-step explanation:

my answer for my test

The average rate of a function is 20 and for every $1 increase in the price of its pencils, the company's profit climbs by $20 on average.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Average rate of a function:

= (160-100)/5-2

= 20

For every $1 increase in the price of its pencils, the company's profit climbs by $20 on average.

Because prices are rarely negative, the domain is most likely confined to 0≤x. The price may be set so high that it yields a loss, but that is not a viable option. As a result, x ≤10 is the upper limit of the sensible domain.

Thus, the average rate of a function is 20 and for every $1 increase in the price of its pencils, the company's profit climbs by $20 on average.

Learn more about the function here:

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HELP I NEED HELP ASAP

Answers

Answer:A

Step-by-step explanation:

Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54 meters wide in real life. How wide is the parking lot in the drawing?

Answers

Answer: The parking lot in the drawing is 36 centimeters.

Step-by-step explanation:

Given: Actual width of parking lot = 54 meters

The scale she used was 2 centimeters : 3 meters.

i.e. 3 actual meters = 2 centimeters on drawing

⇒ 1 actual meter = [tex]\dfrac23[/tex] centimeters on drawing

⇒ 54 actual meters = [tex]54\times\dfrac23[/tex] centimeters on drawing

⇒ 54 actual meters = 36 centimeters

Hence, the parking lot in the drawing is 36 centimeters.

9x + бу = 36
Help ASAP Thanks

Answers

Answer:

x=2

y=3

Step-by-step explanation:

9x2= 18, 6x3=18. 18+18=36

What is the value of x? (Use only the digits 0 - 9 and the decimal point, if needed, to write the number.)

4x = 91

Answers

Answer:

x= 91/4

Step-by-step explanation:

4x=91

1 Let x=\frac{91}{4}x=

4

91

.4\times \frac{91}{4}=91

4× 91/4 =91

2. Cancel 4

4.

91=91

91=91

What is the distance, in units, between A (1,5) and B (9,2) to the nearest tenth

Answers

Answer:

8.5

Step-by-step explanation:

What is the percentage population increase if in 2001 it is 430000 and in 2011 it is 510000

Answers

Answer:

18.6%

Step-by-step explanation:

What is the percentage population increase if in 2001 it is 430000 and in 2011 it is 510000

Percentage increase is calculated as:

Final value - Initial value/ Initial value × 100

Final value = 510000

Initial value = 430000

Percentage Increase =

510000 - 430000/430000 × 100

= 80000 / 430000 × 100

= 0.1860465116 × 100

= 18.604651163 %

Approximately = 18.6 %

A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will each runner run?

Answers

33.5 miles!

Explanation: 134/ 4 = 33.5 miles. Hope this helps! <3

.5333333 repeating as a fraction

Answers

8/15 i think but you might want to divide it to check

Answer:

The answer is 8/10

Step-by-step explanation:

When you convert a decimal into a fraction especially a repeating decimal it could be a little complicated but here is what you had to do to find that answer

Step 1: Let x equal the decimal number

Which is x = 0.533333

And with 1 digit in the repeating decimal group create a second equation by multiplying both sides by 10^1 = 10

Step 2:

10x = 0.5333333

Now subtract equation 1 from equation 2

which is

10x = 5.333333

x = 0.5333333

--------------------------

9x - 4.8

We get

9x - 4.8

Step 3: Solve for x

X = 4.8/9

Multiply to eliminate 1 decimal place.

Here you multiply top and bottom by 1 10's

= 10^1 = 10

4.8/9 x 10/10 = 48/90

Step 4: Find the Greatest Common Factor (GCF) of 48 and 90,

if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

48 ÷ 6/90 ÷ 6 = 8/15

Step 5: Therefore

X = 8/15

And in conclusion

0.5333333 = 8/15

So 8/15 is the answer

Have a nice day!

Hope this helped!

If AABE - AACD by the SAS similarity theorem, what is
AD?
16 units
20 units
24 units
28 units

Answers

Answer:

C 24

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

got it right on test

Swim flippers are helpful for scuba
diving. You can rent them daily for
$15 per day, plus 8% tax. How
much will it cost, including tax, to
rent them for three days?

Answers

Answer:

The answer would be $48.60.

Step-by-step explanation:

Some people could probably answer it better but here's my way: When you have a percentage of something you bring it to the decimal. 8% would be 0.08. We take this and multiply it by the cost: 0.08 times 15, giving us $1.2 per $15 dollars spent. 1.2 times the 3 days would be 3.6 and 15 times 3 is 45 together this would give you the grand total of $48.60.

help

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.14 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. mm³

Answers

Answer:

2034.72

Step-by-step explanation:

i took the k-12 quiz and got the answer-

Answer:

2034.72

Step-by-step explanation:


find the volume of the cone

Answers

Answer:

132::

Step-by-step explanation:

The power of g00gle <3

Algebra 2!exponential growth rate of 7%?

Answers

Answer:

A = 325(1.07)^1

Step-by-step explanation:

first one shows an increase of 70%

second one shows a decrease of 7%

Last shows a decrease of 93%

This graph shows the relationship between x, the number of hours Mr. David
works, and y, the number of dollars he ears.
Mr. David's Earnings

A. Based on the graph, is the relationship between x and y proportional?
Explain your reasoning
B. What does the point (3,90) represent in the context of this situation?
C. Based on the graph, how many dollars will Mr. David earn if he works
10 hours? Show or explain how you got your answer.
D. Write an equation that could be used to find y, the number of dollars
Mr. David earns for working x hours.

Answers

Answer:

A. Proportional by $30

B. 3 represents the hours he works

    90 represents the money he earned

C. $300

D. I don know, sorry

Step-by-step explanation:

The relationship is linear, the point (3, 90) represents in 3 hours he earns 90 dollars, in 10 hours, he earns 300 dollars, and the linear equation is y = 30x.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

This graph shows the relationship between x, the number of hours Mr. David works, and y, the number of dollars he earns.

A. Based on the graph, the relationship between x and y proportional is a linear relationship.

B. The point (3,90) represents in 3 hours he earns 90 dollars.

D. The linear equation will be

[tex]\begin{aligned} \rm y - 30 &= \rm \dfrac{90-30}{3-1} (x - 1)\\\\\rm y - 30 &= \rm 30x - 30\\\\\rm y &= \rm 30x \end{aligned}[/tex]

C. Based on the graph, the amount of money in dollars will Mr. David earn if he works 10 hours will be

y = 30x

y = 30 × 10

y = $300

More about the linear system link is given below.

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If the sales tax for the city of Richmond is 6%, how much tax would you pay for a Playstation 5 that costs
$499.99?
Round your answer to the nearest hundredths place.
Sales tax?

Answers

start by converting 6% to a decimal by dividing by 100, = 0.06

Multiply that by the cost of the PlayStation five, and that is how much tax you pay.

499.99 x 0.06 = 29.9994
The question says to round it to the nearest hundredths, so it’s $30

A rectangular prism with the width as two feet, the length as one and a half feet and the height as one and a half feet.



What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.

Answers

Answer:

Fraction form: 1/2

Decimal Form: 0.5

Step-by-step explanation:

2 x  1/2 x 1/2

Keep in mind each time you are trying to find the Volume of a Prism make sure to multiply the length x width x height.

Which of the division expressions below has a quotient that is greater than 100? Select all
that apply.
A) 2,956 : 32
B) 2, 340 : 22
C) 4,590 : 51
D) 7,566 = 78
E) 5,704 : 62

Answers

The answer should be A.

ecuaciones simulaciones el método de reducción x+y=6 x-y=2​

Answers

The answers are X = 4, y = 2

Fifty cupcakes cost 129. What is the unit price for one cupcake?​

Answers

Answer: 2.58

Explanation:
129/50
=2.58

Answer2.58

Step-by-step explanation:

129 / 50 = 2.58

m<6 =

A. 53 degrees
B. 100 degrees
C. 127 degrees
D. 130 degrees

Answers

C= 127 because 53+127= 180

In the figure, AB || CD. If m<1=70° and m<2 = 45°, find the m<3

Answers

Answer:65 degrees

Step-by-step explanation: a triangle has 180 degrees.

one angle is 45 degrees and the other is 70

if we add them together we get 115

180-115 is 65

m3 is 65 degrees

Deshaun deposits 500 into an account with an interest rate of 5 percent how much intrest sill he be paid in 4 years?

Answers

Answer:

$100

Step-by-step explanation:

Given data

Principal = 500

Interest= 5%

Time = 4years

Applying the simple interest expression

SI= PRT/100

substitute

SI= 500*5*4/100

SI= 10000/100

SI= 100

Hence the interest after 4 years is $100

Betty has 25 baseball cards and 10 basketball cards in her sports card collection what is the ratio of baseball cards to basketball cards

Answers

Answer:

25:10

Step-by-step explanation:

Plz give brainliest I wanna level up

Answer: 5:2

Step-by-step explanation:

i need to know the answer to these two questions up at the top please

Answers

A) x=3 and b) x= 9/3

Answer:

x = 3

x = 4.5

Step-by-step explanation:

A) 2(5x - 3) = 24

5x - 3 = 12 (divide both sides by 2)

5x = 15 (add 3 to both sides)

x = 3 (divide both sides by 5)

B) 5(2x + 1) = 50

2x + 1 = 10 (divide both sides by 5)

2x = 9 (take 1 away from both sides)

x = 4.5 (divide each side by 2)

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