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

Suppose a class has 24 chairs,6 tables, and 2 teachers, what is the ratio of chairs to tables

Answers

Step-by-step explanation:

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.

Example: 3:5

The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.

24:6

Hope it helps!

geometry geometry geometry

Answers

Answer:

was only able to do #11

Step-by-step explanation:

Answer:

#12

Step-by-step explanation:

what is the mathematical expression for the problem withdrawing $10 every week from an outstanding $400?

Answers

Answer:

40

Step-by-step explanation:

because if you do 400 divided by 10, it gives you 40

What is 0.007826 converted to scientific notation

Answers

7.826 x 10^-3 ( 10 to the negative 3rd power)

Answer:

7.826 • 10^-3

Step-by-step explanation:

the decimal is moved 3 places to the right in order for there to be a digit in the ones place

because decimal is moved right, the exponent must be negative

(4-5i)(-2+7i) what is the answer

Answers

Answer:

27 + 38 i

Explanation:

(4 - (5 * i)) * ((-2) + (7 * i)) =

Answer:

[tex] - 35 {i}^{2} + 10i + 20[/tex]

Step-by-step explanation:

-8 + 28 + 10i - 35i^2

-35i^2 + 10i + 20

Please help me. I have been struggling with prob and stats.

Answers

Answer:

Step-by-step explanation:10

how does slope affect a linear graph??

Answers

Answer:

With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.

hope this helps

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:45.. good luck:)

Step-by-step explanation:

It’s d .... you do length times width times height

PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK

Answer:

45

Step-by-step explanation:

If you just take the length (3)

and the width (5)

and multiply them it'll give you 15

then multiply that by the height(3)

and thats how you get 45!

Given f(x) = 5x - 3, find f(-2).

Answers

Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

The answer would be-13

Determine the answer to (−5) + 4 and explain the steps using a number line.

Answers

Answer:

-1

Step-by-step explanation:

when adding on a number line you always go to the right.

-5+4=-1 , so you would move 4 places to the right on the number line.

(-5)+4
-5+4
-1

is the correct answer

-1 7/8 + -6 Help, please.

Answers

-7 7/8 is the answer.

Solve equation for y. 6=4x+9y

Answers

x= 1.5 + -2.25y sooooo yea

A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the​ width, what are its​ dimensions?

Answers

Answer:

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Step-by-step explanation:

Let

Width = 17 × width

Length = 8 × length

8l = 17w

l = 17w/8

Perimeter of a rectangular yard = 2(length + width)

400 = 2(17w/8 + w)

400 = 34w/8 + 2w

400 = 17/4w + 2w

400 = 17w+8w/4

400 = 25w/4

Cross product

1600 = 25w

Divide both sides by 25

w = 1600/25

= 64 feet

Recall,

l = 17w/8

= 17*64 / 8

= 1088/8

= 136 feet

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the vegetable patch?

Answers

Answer: 5 and 4

Step-by-step explanation:

Perimeter = 2 ( L + W)

18 = 2(L + W) divide through by 2

9 = L + W

9 - L = W

Area = L * W

20 = L (9 - L)

20 = 9L - L^2

L^2 - 9L + 20 = 0 factor

(L - 5) (L - 4) = 0

Set both factors to 0 and solve for L

L = 5 and L = 4

Solve the system of equations: 3x + 4y = 11 x – 2y = – 3

Answers

Answer:

{x,y}={1,2}

Step-by-step explanation:

Answer: (x , y) = (-9/5x , -12/25)


Step by step explanation:

Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

Answers

Answer:

[tex]d = \sqrt{13}[/tex] or d = 3.61

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

How to use distance formula?

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

To know more about distance formula click on,

brainly.com/question/28956738

#SPJ2

Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).

Answers

Answer:

Step-by-step explanation:

f(g(x))

g(x) = 7x -4

f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7

67+k = 83
solve for k
no work needed

Answers

Answer:

k = 16

Step-by-step explanation:

Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Subtract 67 from both sides of the equation:

k + 67 = 83

k + 67 (-67) = 83 (-67)

k = 83 - 67

k = 16

16 is your answer for k.

~

0= -5/4(x - 6/5) find the solution to x

Answers

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

5 x + (6 - 6) = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

5 x = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

Hint: | Any nonzero number divided by itself is one.

5/5 = 1:

Answer: x = 6/5

(2x-5)/4=6 pls solve it!!

Answers

Answer:

ans is 29/2

Step-by-step explanation:

2x-5/4 =6

2x-=24+5

x= 29/2

Answer:

10

Step-by-step explanation:

(2x-5)/4=6

Or, 2x-5=24

Or, 2x=24+5

Or,2x=29

Or,x=29÷2

Or,x=14.5

Can someone please help

Answers

Answer:

-6 degrees F

Step-by-step explanation:

We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.

Answer:

The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6

Whats a Radicant? I don't mean a radicand, radical, or radical sign. A Radicant. I can't find anything about it anywhere! :( Please explain in the simplest way you can too pls!​

Answers

Answer:

The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .

Step-by-step explanation:

Shoes cost $60.00. Discount is 20%. Sales price is equal to?
$10
$20
$30
$40

Answers

Answer:

it is D ..................

Answer:

$40 is the sales price after a 20% discount.

(*Edited as the shoes are $50.00, not $60.00)

Step-by-step explanation:

When calculating discounts, we can convert the percentage to a decimal and multiply by the original sales price:

[tex]50(.20)[/tex]

Multiply.

[tex]50(.20)=10[/tex]

Subtract your product from the sales price.

[tex]50-10[/tex]

Subtract.

[tex]50-10=40[/tex]

Pls Help me with ths question​

Answers

Answer:

Step-by-step explanation:

x=√(5+2√6)/(5-2√6)

x²(x-10)²=1

substitute the value of x in the equation

[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=

solve :

(49+20√6)(49-20√6)=1     multiply

1=1 proved

y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.​

Answers

Inversely proportional means as one variable increases the other variable decreases.

In this problem, x is doubled which means it's increased, therefore, y is decreased.

7 / 2 = 3.5

The new value of y is 3.5

the value of y is 3.5

Find the sum (9r2+4r-7)+(3r2-3r)

Answers

The sum would be 25r-7

Answer:

12r^2 +r-7

Step-by-step explanation:

Etta buys some ribbon and cuts it into 5 pieces that are the same length. Each piece is 9 inches long. How long was the ribbon that Etta bought? The ribbon that Etta bought was inches long.

Answers

Answer:

The ribbion she bought is 45 inches long

Step-by-step explanation:

Answer:

about 45 inches

Step-by-step explanation:

Etta cut the ribbon into 5 peices that were each 9 inches long. Multiply those number and it should be about 45 inches.

Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)

Answers

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

f(x) = -3xg(x) = 2x - 1

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

[tex]4g(x) - f(x)[/tex]

[tex]4(2x - 1) - ( - 3x)[/tex]

Opening the parentheses,

[tex]8x - 4 + 3x[/tex]

Now combing the like terms, and adding them,

[tex]8x + 3x - 4[/tex]

[tex] \boxed{11x - 4}[/tex]

This is our final result.

#CarryOnLearning

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Can anyone help with number one?

Answers

|9x - 9| = 36

To solve for the first solution, simply disregard the absolute value signs.

9x - 9 = 36

Add 9 to both sides

9x = 45

Divide both sides by 9

x = 5

To find the second solution, disregard the absolute value signs and change 36 to -36

9x - 9 = -36

Add 9 to both sides

9x = -27

Divide both sides by 9

x = -3

Now, we need to find the sum of these two solutions.

5 + (-3) = 5 - 3 = 2

(-1,2), (-1,-5) can you solve this for me

Answers

Answer:

Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.

the slope would be x=-1 and it would be vertical
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