if a system of linear equation has an infinite number of solutions, what do you know about the graph of the system?

a. the lines intersect at one point
b. the lines are parallel
c. the lines are the same
d. the lines cannot he graphed

Answers

Answer 1

Answer:

c. the lines are the same

Step-by-step explanation:

Answer 2

A system of linear equations has an infinite number of solutions because the lines are the same. The correct answer would be an option (C).

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

If a system of linear equations has an infinite number of solutions, it means that the equations are equivalent and represent the same line in the coordinate plane.

Therefore, the graphs of the two equations will be the same line, meaning that the lines are coincident. They won't intersect at one point, nor will they be parallel, as the definition of an infinite number of solutions is that they are the same line. And they can be graphed, as they represent a single line in the coordinate plane.

Hence, the correct answer would be option (C).

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Related Questions

A new set of apple airpods cost $250 calculate the new price if you got a 20% discount and the sales tax 8%​

Answers

Answer:

$216

Step-by-step explanation

We know that we are paying 80% of the price of the airpods (20% off) so we can multiply the full price by 0.8.

250 * 0.8

This will give us 200.

Now, we need to add the sales tax which is 8%.

Simply multiply the 200 by 1.08 since we are paying the 200$ plus an extra 8% of the cost.

200 * 1.08 = $216

I hope this helped.

What is f(2) for the function f(x)=3x+8
F(2)=

Answers

Plug in 2 for x
f(2) = 3(2) + 8
f(2) = 6 + 8
Solution: f(2) = 14
The value f(2) is 14

Which graph shows the solution to the system of linear inequalities below?
y 2x+1
y <-2x-3

A. Graph B
B. Graph A
C. Graph
D. Graph D

Answers

The answer is 2x+1......

Is the sequence below arithmetic or geometric? Explain
how you determined this.
50, 30, 10,-10, ...
Write a formula in explicit form representing this
sequence

Answers

Answer: its geometric

Step-by-step explanation: The numbers are separated and are counting up Individually

I need help. Please help me, thxs.

Answers

Answer:

50 years.

Step-by-step explanation:

Hope this helps!

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

free

Step-by-step explanation:

The area of a newspaper page (opened up) is about 630.92 square inches. Determine the length and width of the page if it’s length is about 1.22 times its width.

Answers

X=1.22Y

X x Y = 630.92 inches

Replace X with 1.22Y

Which looks like this

1.22Y x Y = 630.92 inches

Now get Y by itself

Y x Y = 630.92/1.22

Y squared= 630.92/1.22

Y= the square root of 630.92/1.22

Y= 22.74 inches

X= 22.74 x 1.22
X= 27.74 inches

Multiply X and Y to check your answer equals 630.92 inches

Hope this helps

The value of the length of the newspaper is 21.52 inches and the width is 22.74 inches.

What is a rectangle?

The rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Lets say,

Length of newspaper = l

Width of newspaper = w

Area of newspaper ( rectangle ) = l × w

Now,

Length is about 1.22 times its width.

So,

l = 1.22w

By substituting

1.22w × w = 630.92

1.22w² = 630.92

w² = 517.147

w = 22.74 inches

So,

l = 1.22 × 22.74

l = 21.52 inches

Hence "The value of the length of the newspaper is 21.52 inches and the width is 22.74 inches".

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On a blueprint for a house, the scale is 1/2 in = 4 feet. If
the length of a room is 32 feet, how long is it on the map?

Answers

It’s 4 inches long on the map.

Answer:

4 inches

Step-by-step explanation:

We can use a proportion to solve this.

Let x = how long the room is on the map

So, x/32 = 0.5/4

Cross multiply

4x = 16

Divide by 4

x = 4

Check

4/32 = 0.5/4

4 x 4 = 32 x 0.5

16 = 16

Our answer is correct

Simplify the expression 63 = (1 + 8) - 23 – 5

Answers

Answer:

63=9-28

Step-by-step explanation:

just add them together

Answer:

its false

Step-by-step explanation:

i just know cuz im  smart

Cans someone please help me with this question

Answers

Answer:

domain: -2,-3, -1, 0, 1, 2

range: -2, -1, 0, 1, 2, 3

domain is the x value, range is for the y values

in this case, this isn't a line, it's just a line plot, so you just list the coordinates of where each point is for x and y.

What is 5×9÷2×3+9. I need help with thisss

Answers

Answer:

76.5

Step-by-step explanation:

76.5

That’s the answer

Please help me, I’ll give points and brainliest!!

Answers

Answer:

B

Step-by-step explanation:

It would be b, because she withdraws money. A withdrawal of money would be negative.

3 however, would be positive. The number of days cannot be negative, and we cannot count backwards in time.

Hope this helps! :)

What is the equation for the line graphed below?

Answers

Answer:

[tex] \boxed{y = - \frac{3}{4} x + 4}[/tex]

Step-by-step explanation:

The graph decreases. That meand the slope is in negative.

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept. If the slope is positive, the graph will increase. Otherwise, decrease.

The only choice that the slope is negative is the third choice.


B- Y= - 3/4 x + 4
Your welcome!!

8x+11-6x+5
Your answer

Answers

Answer:

2x +16

Step-by-step explanation:

group them by similar variables

8x-6x. 11+5

2x+16

Answer:

2x+16

Step-by-step explanation:

combine like terms

8x-6x+11+5

8x-6x=2x

2x+11+5

11+5=16

2x+16

250 is equal to the ratio ____ to 100​

Answers

Answer:

25

Step-by-step explanation:

if you look at it, 250 is 1/4 of 1000 and 100 is 1/10 of 1000 so divide 250 by 10 and you get your answer.

Blueberries cost $1.78 per pound. What is the cost of 1.05 pounds of blueberries? Round your answer to the hundredths. You will not grid the dollar sign.

Answers

Answer:

Approximately $1.87 ($1.869)

Step-by-step explanation:

There are 2 ways to do it

1.78 x 1.05 = 1.869 / $1.87

Or

1.78 x .05 = .089

1.78 + .089 = 1.869 / $1.87

A Store charfes $0.20 per pound plus a set fee of $2 for ice.How many pounds of ice would somebody have brought if they paid $15

Answers

Answer:

65 pounds of ice

Step-by-step explanation:

15-2=13

13/0.2=65

Write the equation so that y is a function of x. 5x + 4y - 7 = 5

Answers

Answer:\

Step-by-step explanation:

PLEASE HELP if you can

Answers

The equation y--4=-2(x--1)

Can you please help me I really need it to

Answers

Answer:

red: 13/33

yellow: 12/33

blue: 8/33

Step-by-step explanation:

Add together all of the values to find the total amount of sections (13+12+8=33) --> this will be your denominator

From there, each time you make the numerator the number of that color, which gives you:

red: 13/33

yellow: 12/33

blue: 8/33

I hope this helps!

Answer:

The probability of landing on red is 13/33, the probability of landing on yellow is 12/33, and the probability of landing on blue is 8/33.

Step-by-step explanation:

Everything is just a fraction, so just add all the numbers for your denominator, and put the other number for red yellow or blue as the numerator then simplify the fraction

how do i solve this?

Answers

Answer:

y = 6

Step-by-step explanation:

You solve by using the pythagorean theorem, which is:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where a and b are legs of the triangle, and c is the hypotenuse, or y in this case. So let's rearrange this equation for c:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

Now, we can substitute in the known values and solve:

[tex]c=\sqrt{3.6^{2} +4.8^{2} } = \sqrt{36} = 6[/tex]

Therefore, the value of y is 6

Hope this helps!

what is 7.5% of 180 dollars? please provide step by step answer

Answers

Answer:

13.5

Step-by-step explanation:

7.5 percent *180=

(7.5:100)*180=

(7.5*180):100=

1350:100= 13.5

the answer is 13.5 your welcome

all real numbers that are greater than 6 and less than 10

Answers

Answer:

I didnt know that and now that I do idc caus math is well y'know math -_-

Answer: 7,8,9

Step-by-step explanation: all the numbers between 6 and 10

-6(x-2) show work (Simplfy)

Answers

Answer:

−6x+12

Step-by-step explanation:

Expand by distributing terms.

-6x-6\times -2

−6x−6×−2

2 Simplify  6\times -26×−2  to  -12−12.

-6x-(-12)

−6x−(−12)

3 Remove parentheses.

-6x+12

−6x+12

4x+5y=13,3x+2y=8 in substitution method​

Answers

answer: x= 2,y=1

hope i helped you :0

X= 5.20625 Y= -2.565

Hey! A step by step explanation on this would be great! Thanks!
(25 Points)

Answers

Step-by-step explanation:

We find the stationary point of (20 + 2x)(1200 - 60x),

where x is the unit rate of increase/decrease.

d/dx [(20 + 2x)(1200 - 60x)]

= d/dx (-120x² + 1200x + 24000)

= -240x + 1200.

When d/dx [(20 + 2x)(1200 - 60x)] = 0,

We have -240x + 1200 = 0. => x = 5.

Price per shirt that maximise revenue

= $20 + $2x = $20 + $2(5) = $30.

Maximum revenue

= (20 + 2(5))(1200 - 60(5))

= $30 * 900 = $27,000.

What is the slope of the line?

Answers

4/3 USE THE FORMULA TO GET YOUR ANSWER

5. A rectangle with a diagonal of length x is twice as long as it is wide. Find the area of the
rectangle.
(a) 1/4x^2
(B)2/5x^2
(c) 1/2x^2
(D) x^2
(e) 20

Answers

Since, a rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5

How to find the area of the rectangle?

Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.

Let

L = length of rectangle, W = width of rectangle and D = length of diagonal = x

Given that the length of diagonal, x is twice as long as it is wide, we have that

L = 2W

Also, since it is rectangle, we have that

D² = L² + W²

D² = (2W)² + W²

D² = 4W² + W²

x² = 5W²

W² = x²/5

W = x/√5

W = x√5/5

Since the length of the rectangle, L = 2W, we have that

L = 2W

= 2x√5/5

The area of the rectangle

The area of the rectangle is given by A = LW where

L = length of rectangle and W = width of rectangle

So, A = LW

= 2x√5/5 × x√5/5

= 2x² × 5/25

= 2x²/5

So, the area of the rectangle is (B) 2x²/5

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Find the line's slope and a point on the line.
y-4=
= (x + 5)

Answers

Answer:

y=x+9

Step-by-step explanation:

First, remove the parentheses.

Write in slope-intercept form. (y=mx+b)

which set or sets does the number 5.6 belong?

im givng 29 points .-.

Answers

Step-by-step explanation:

Integers only

b

Rational numbers only

c

Integers and Rational numbers only

d

Whole numbers, Integers, and Rational numbers

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