While sitting in class you overheard one of your classmates say, "This equation has infinite solutions, because when I put it in Desmos it gave me parallel lines so I know it makes a conditional equation." Realizing that the student is incorrect, what would you say to help your classmate get their facts straight?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

The systems of linear equations represent two lines.

There are 3 possible outcomes with two lines on the plane.

1. Lines intersect

In this case there is one solution, which is the point of intersection.

2. Lines are parallel

In this case the lines never intersect, so there is no solution

2. Lines are same

In this case the lines overlap, so there are infinitely many solutions.

Related Questions

You are graphing Rectangle ABCD in the coordinate plane. The following are three of the vertices of the
rectangle: A(-5,–8), B(-5,0), and C(-2,0).

Answers

Answer:

The answer is -2, -8.

Step-by-step explanation:

Since the three coordinates of the vertices are A(-5,–8), B(-5,0), and C(-2,0), the fourth vertices of the rectangle will be D(-2, -8)

What is rectangle?

It is described as a type of two-dimensional geometry where the angle between neighboring sides is 90 degrees. A quadrilateral of that kind is it. in two-dimensional planning geometry, the space occupied by the rectangle.

The following formula may be used to determine the area of a rectangle:

​Rectangle area = length x width

It is given that the three coordinates of the rectangle are A(-5,–8), B(-5,0), and C(-2,0).

We have to find the fourth vertices coordinates of the rectangle will be D(-2, -8)

Let the fourth vertices coordinates of the rectangle will be (x,y).

Since the parallel side of the rectangle is the same. Plotting the graph we will obtain the coordinates of the D.

Thus, the fourth vertices of the rectangle will be D(-2, -8)

Learn more about the rectangle here:

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I need this TONIGHT!!! Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 5 1/2% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.

Answers

Answer:

[tex]A\approx\$880.68[/tex]

Step-by-step explanation:

So, we know that Jolene bought an initial $750.

We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.

So, we can use the compound interest formula, which is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.

So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:

[tex]A=750(1+0.055)^t[/tex]

Add:

[tex]A=750(1.055)^t[/tex]

Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:

[tex]A=750(1.055)^3[/tex]

Evaluate. Use a calculator:

[tex]A\approx\$880.68[/tex]

And we're done!

Formula: A = P(1 + r/n)^t

We have these variables:

P = 750

r/n = 0.055

t = 3

Substitute and simplify:

A = 750(1 + 0.055)^3

A = 750(1.055)^3

A = 880.68

Best of Luck!

Simplify s^12t^8/s^4t^4.

Answers

Answer:

2t^12/s^3

Step-by-step explanation:

What does it mean when a variable equals R
Like b=R

Answers

Answer:

Step-by-step explanation:

R=r

this is integrated math2, help plzzzz. i’m so lost idk what this is:/

Answers

I remember doing the last question.

If you recall, x = 29

Just plug 29 into x for each angle

A = 3(29) = 87

B = 2(29) + 1 = 59

C = 29 + 5 = 34

Answer:

The value of angle C is 34°

Step-by-step explanation:

2x+1°+x+5°+3x° = 180° { the sum of angle of triangle is 180°}

or, 6x + 6° = 180°

or, 6x = 180° - 6°

or, x = 174°/6

or, x = 29°

now,

value of angle C = x+5°

= 29°+5°

= 34°

What is the inverse of the function f(x) = 1/9 x + 2?

h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2​

Answers

Answer: the answer is option B. or h(x) = 9x - 18

Step-by-step explanation:

Answer: h(x) = 9x - 18

Step-by-step explanation:

I just took the test and got it right

(PLEASE ANSWER THESE ASAP)

(1) K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?

(2) Michael has $35 to divide between his two daughters, Paula and Mathilda, in the ratio of 3:2 How much money does each daughter receive?​

Answers

Answer:

easy

Step-by-step explanation:

easy..................

Help needed ASAP will give BRAINLIEST

Answers

Answer:You must divide the equation to get the answer

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I believe what they're doing is A+B=B+A. If not, rule this answer out.

walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart

Answers

Answer:

$245

Step-by-step explanation:

350× 0.30 = 105 dollars off

350-105 = 245

Answer:

245

Step-by-step explanation:

350/10=35

35=10%

35x3=105

105=30%

350-105=245

Jose wants to buy his friends pizza at lunch. He has $36 to spend. The pizza costs $2.25 per slice. Which equation could be used to find the number of slices, x, he can buy?

Answers

Answer:

36 = 2.25(x)

Number of slices = 16 slice

Step-by-step explanation:

Given:

Total amount spend = $36

Cost of each slice = $2.25 per slice

Number of slices = x

Find:

Equation

Computation:

Total amount spend = Cost of each slice × Number of slices

36 = 2.25(x)

x = 16

Number of slices = 16 slice

1.Write 6,730,000 in scientific notation.

2. Write 13,300 in scientific notation.

3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.

Answers

Answer:

6.73 X 10 to the sixth power.

1.33 X 10 to the fifth power.

9.77 X 10 to the twenty-second power.

Step-by-step explanation:

What is the solution of the inequality ⅚ x - 3 < 2 ?

Answers

the answer to the inequality is..

Inequality Form: x < 6

Interval Notation: (-∞,6)

if someone has 18 candy boxes then eats all 18 what do they have

Answers

Answer:

They have no more candy

Answer:

diabetes

Step-by-step explanation:

I have a few questions so if you can answer all correct I’ll mark brainliest!

A toy car costs $60. It is reduced by 10% in a sale. How much
does it cost in the sale?

I have $78. I spend $45 on some CDs and $12 on a t-shirt. How much money is left

The ratio of lions to tigers in the zoo is 3:5 if there are 9 lions how many tigers are there?

Answers

1- 60 multiply by 0.90 =54 $ in sale

2-78-45=33 33-12=21
I have 21 $ left

3 9/3 =3 3 multiply by 5 = 15
15 tigers there

Answer:

1.) $54

2.) $21 left

3.) 15 tigers

Step-by-step explanation:

1.) If the original price of an item was $60, and it was reduced by 10%, that means it is now being sold at 90% of its original value.

To find out the new price, simply take the original value and multiply it by 90% (as a decimal).

60*.90=54

So the new price is $54

2.) This is simple subtraction. If you spend $45 on some CDs and $12 on a t-shirt, you spent a total of $57. Subtract $57 from your total of $78.

78-57=21

You are left with $21

3.) Ratios are all about multiplication. If the ratio of lions to tigers is 3:5, that means that the number of lions is going to be any factor of 3, as long as it corresponds to the same factor of 5 for the tigers.

For example, if there are 9 lions, there must be 15 tigers.

3*3=9

5*3=15

There are 15 tigers

Thirty bouquets contain 750 rose stems. How many rose stems will 9 such bouquets hold?

Answers

Answer:

225 rose stems

Step-by-step explanation:

750 / 30 = 25 rose stems per bouquet

25(9) = 225 rose stems

The sum of the measures of a triangle is 180 degrees.a triangle has angle measures of 5x+2,6x and 134.find the measures of x

Answers

Answer:

4

Step-by-step explanation:

6x  + 5x+2 + 134 = 180               All triangles have 3 angles = 180. Combine

11x + 136 = 180                            Subtract 136

11x = 180 - 136

11x = 44                                       Divide by 11

x = 44/11          

x = 4

=======================

Angles are

5x + 2 = 22

6x   =     24

<3    =    134

Total =  180

Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 134 feet.

Answers

Answer:

L = 2w  134 = 2L + 2w

l= length

w=width

l=2w

P=Perimeter= 134 ft

P= 2(l+w)

 = 2(2w+w)

 = 2(3w) = 6w=134

w=134/6=22 1/3 ft

l= 2w = 2 x 22 1/3 = 44 2/3 ft

Hope it helps

The number of hot dogs Ryan can eat varies directly with the amount of time he spends eating. If Ryan can eat 14 hot dogs in 6 minutes, how many hot dogs can he eat in 15 minutes? HELPPPPPPPPPPP

Answers

Answer:

  35

Step-by-step explanation:

Let h represent the number of hot dogs Ryan eats in 15 minutes. Since the rates are the same, we have ...

  dogs/minutes = h/15 = 14/6

Multiplying by 15 gives us ...

  h = (15·14)/6 = 35

Ryan can eat 35 hot dogs in 15 minutes.

What is the range of the relation of centimeters as a function of inches? {5.08, 10.16, 17.78, 25.4, 33.02} all positive integers x greater-than-or-equal-to 0 y greater-than-or-equal-to 0

Answers

Answer:

y>0 Option D

Step-by-step explanation:

Answer:

The answer is D.)

Step-by-step explanation:

This is right on edg. 2020

solve the inequality
4(1-x)+5(1+x)>3x-1​

Answers

Answer: x < 5

Step-by-step explanation:

4 - 4x + 5 + 5x > 3x - 1

9 + x > 3x - 1

10 > 2x

x < 5

What is the slope of the line on the graph?

Answers

Answer:

2/4=1/2

Step-by-step explanation:

It rises 2 runs over 4.

rise/run

2/4=1/2

Solve the following expression. d=5 2d+4d-9-7

Answers

Answer:

14

Step-by-step explanation:

[tex]2d+4d-9-7\\\\d =5[/tex]

Substitute ; d= 5 into the given equation

[tex]2(5)+4(5) -9-7\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\10 +20 -9-7\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\10+20 =30\\\\=30-9-7\\\\30-9=21\\\\=21-7\\\\21-7\\=14[/tex]

The value of the expression 2d + 4d - 9 - 7 is 14 if the value of d is 5 after plugging d = 5 in the equation.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The expression:

= 2d + 4d - 9 - 7

Plug d = 5 in the above expression:

= 2(5) + 4(5)- 9 - 7

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

= 10 + 20 - 9 -7

= 30 - 16

= 14

Thus, the value of the expression 2d + 4d - 9 - 7 is 14 if the value of d is 5 after plugging d = 5 in the equation.

Learn more about the expression here:

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Alex can run 24 miles in 3 hours. How many miles does he run in 1 hour?

Answers

Answer:

8 miles per hour

Step-by-step explanation:

24 divided by 3 equals 8 miles per hour

Answer: 8 miles

Step-by-step explanation:

24/3=8, so the unit rate is 8 miles an hour, which means he ran 8 miles in 1 hour.


How many solutions are there for the equation? |XI=8

Answers

Answer:

              Two solutions    

Step-by-step explanation:

|a| changes the sign to + if a<0

so solution of |x| = 8 would be x=8 or x = -8

The graph shows the favorite colors chosen by some middle school students. Which statement is supported by the information in the graph?

Answers

Answer:

Um you didnt attach a file or anything make one again and ill answer it just attach a screenshot of the problem

Step-by-step explanation:

Answer:The answer is C :exactly 18% of the students chose blue as their favorite color.

Select the decimal that is equivalent to 2/3

Answers

.6666666667 that is a equivalent decimal

Answer:

0.66666667 or 0.6

Step-by-step explanation:

if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display

0.6666 with infinite sixes.

you can also write it as:

0.6

ps ;; you would do this for any fraction, then round it.

I really need help on this problem.

Answers

Answer:

a.) 20

b.) 4/3

c.) 3

Step-by-step explanation:

a.) Plug in 5 for x

5(5) - 5

25 - 5

20

b.) Plug in 1/3 for x

5(1/3) - 1/3

5/3 - 1/3

4/3

c.) Set equation equal to 12 to find x input

12 = 5x - x

12 = 4x

3 = x

x = 3

a. You wash cars for 2 hours. You receive $42.
How much do
you earn per
hour?

Answers

Answer:

$21

Step-by-step explanation:

$42/2 = $21 per hour

42/2=21
you make $21 an hour :)

A fruit juice company includes 1.247 ounces of orange juice in a 6.85 ounce bottle of mixed fruit juice. How much of the bottle of mixed fruit juice is not orange juice​

Answers

Answer:

5.603 ounces

Step-by-step explanation:

From the information given, you know the ounces of orange juice included in a bottle and the ounces of mixed fruit juice that the bottle has. So, to be able to determine how much of the bottle of mixed fruit juice is not orange juice​, you have to subtract the ounces of orange juice in the bottle from the ounces of mixed fruit juice that it has:

6.85-1.247=5.603

According to this, the answer is that the bottle of mixed fruit juice has 5.603 ounces that are not of orange juice.

Use estimation to determine the product of 15.4 and 5.7

Answers

the answer is 87.78 but if i was gonna estimate i’d say it was mid 80’s
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