Mathematics College

How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution

How Many Solutions Does This System Have?->2x-3y = 10-4x+6y=-20onetwoan Infinite Numberno Solution

Answers

Answer 1

Answer: I think there is only one

Step-by-step explanation:

Answer 2

Answer:

an infinite number

Step-by-step explanation:

Let's solve for y for both equations.

[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]

[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]

By reducing fractions we get:

[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]

These two equations are EXACTLY the same.

Therefore, this system has an infinite number amount of solutions.

Using desmos graphing calculator, you can't see both lines because they're exactly the same line.

How Many Solutions Does This System Have?->2x-3y = 10-4x+6y=-20onetwoan Infinite Numberno Solution

Related Questions

Please help ..........

Answers

I think the answer is B. Hope this helps!

16. On a yachting trip in the South Pacific, you discover a previously unknown island. You notice that there is a population of especially fluffy and particularly cute long-eared rabbits living there. These rabbits seem to have no predators at all on the island, and their mating habits seem to be perfectly random. When they are first surveyed, they have an average ear length of about 18 cm. When they are sampled again in five years, what will likely be true of their ear length

Answers

Answer: Their ear length will be thesame because there's no force of evolution.

Step-by-step explanation:

Based on the information given in the question as we are informed that the rabbits have no predators and that their mating habits seem to be perfectly random.

We should note that when they are sampled again in five years, due to the fact that there's no source of evolution, their ear length will be thesame. Also, their offspring number will be thesame as well.

What value of x is in the solution set of 2x - 3> 11 - 5x?
0 -3
O 0
O2
o 4

Answers

Answer:

The answer is x>2, x has to be greater than 2,

the answer is 4 since it is greater than 2

If you partition ¼ into 6 equal segments, how long is each segment?

Answers

Answer:

1/24

Step-by-step explanation

I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.

find the area of the composite shape. quickly please

Answers

Answer:

4800 1 x 24 x 25 x 8

Step-by-step explanation: 1 x 24 x 25 x 8

There is a couple more

Answers

Answer:

m<4= 81 by the alternate interior postulate

The best answer will be marked brainliest

Use the distributive property to remove the parentheses
7(x-4)

Answers

Answer:

y45uj

Step-by-step explanation:

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Better quality would help, have a good day/night

Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.

Which inequality can be used to find the possible values for d?

Answers

Answer:

d ≤ 30

Step-by-step explanation:

40 - 10 = 30

she will be able to spend at most 30 dollars

The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
change? Round your answer to the nearest tenth.

Answers

2007 $7.50. 100%
2021. $13.00. X%
X=100•13/7.5
X=173.33 %
173.33-100%=73.33%
Rounded to nearest tenth 73.3%

The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is​

Answers

Answer:

11cm

Step-by-step explanation:

Given data

Volume of cuboid =385 cm^3

Base area= 35cm^2

We know that

Volume = Area* Height

substitute and solve for Height

385=35*H

H= 385/35

H= 11cm

Hence, the height is 11cm

What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5

Answers

Step by step explanation
Hope this helps
Leave a like and brainliest!

How many solutions can be found for the system of linear equations represented on the graph?
A)no solution
B) one solution
C)two solutions
D) infinitely many solutions

Answers

Answer: D) infinitely many solutions

Explanation: because the lines overlap each other every single point is a solution, therefore infinitely many solutions

Triangle Theorems helppppppp

Answers

Answer and Step-by-step explanation:

Answer is in picture.

The angles of a triangle add up to 180.

There are TWO 9x + 1 because they are the base angle pairs.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

What is the percent decrease from 61 to 11?

Answers

I think it’s a 49 percent decrease
The change would be 82 percent . 11 is a 81.967% decrease of 61 .

what is the answer? help me

Answers

The answer that I would choose would be C.

How many minutes is 65% of 3 hours? ____ just write the number part of the answer.

Answers

Answer:

117

Step-by-step explanation:

There are 60 minutes in each hour, and to find how many minutes there are in 3 hours you would have to multiply 3 x 60.

3 x 60 = 180

To find 65% of 180 you can use the equation

65 x 180/100

65 x 180 divided by 100 is 117.

I NEED HELP ASAP!!<3
Graph the following piecewise function.

Answers

Sorry I don’t speak English I wish I could help maybe you can translate to Spanish and I could help you

Plss I need help

ASAP

Answers

Answer:

21x+56 %thats ur answer hope it worked !

Answer:

21x

Step-by-step explanation:

ssjsjsjsjsjsssjsjsss


Find the sum of the first six terms of the Geometric Progression (G.P.):
2
1, 2, 4, ....​

Answers

Step-by-step explanation:

Heueueirjrjkwugoystsitso5wpysoydlusktzlhskgdlysyldj

A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.

Answers

Answer:

P = 4 / ( 4 + 3 +1 )

= 4 / 8

= 4 / 8 =  1 / 2

Hope it helps

Please mark me as the brainliest

Thank you

The probability that it is red is 1/2.

what is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

A bag with 8 marbles

4 red marbles,

3 blue marbles,

and 1 yellow marble.

So, the probability that it is red

= 4 / ( 8)

= 1/2

Hence, the probability that it is red is 1/2.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

When a certain kind of bacterium takes a step, it moves 3 x 10^-7 meters. When
Joe takes a step, he moves 0.75 meters. How many times larger is Joe's step
than the bacterium's step?
Joe's step is[ ] x 10^[ ]
times larger than the bacterium's step

Answers

Answer:

Step-by-step explanation:

0.75/(3*10^(-7)) = 0.25*10^7 = 2.5*10^6

What is the interquartile in the dot plot for Mrs. Orlando’s daycare? i need thisssss!!

Answers

11, by subtracting 17-6

What is the answer for this?

Answers

Answer:

Proved

Step-by-step explanation:

Given

[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Required

Prove

On the right hand side, we have:

[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Rewrite:

[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Apply law of indices

[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]

[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Express 6 as 3.5 + 2.5

[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Open bracket

[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]

Proved

Tell whether the angles are adjacent or vertical. Then find the value of x . 117° xº ​

Answers

Answer:

please give the picture

Step-by-step explanation:

I will then solve this

Need it now. I'll give you another 100 when done if all i right.

Answers

This it the test please do as fast as posible and show work. thank you and sorry

Which of the following is equivalent?

Answers

I am not sure my fault

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(​

Answers

Answer:

6

Step-by-step explanation:

2 ft = 24in so 4 to 24 is times 6

3ft=36 in and 6 to 46 is times 6

Answer:

6/1

Step-by-step explanation:

2ft=24 inches

3ft=36 inches

poster/original photo

24in/4in=6/1

36in/6in=6/1

6/1

What is the radius of a circular lid with a diameter of 5 centimeters?
radius

Answers

Answer:

5/2 =

2.5

Step-by-step explanation:

Select all the expressions that are equivalent to 10x + 4 - (6x - 1)

Answers

Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

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