Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.

y−2x=2
4y−8x=8

Answers

Answer 1
y-2x=2 has one solution
because it simplifies to y=2x+2 which is one solution

4y-8x=8 has one solution
because it simplifies to y=2x+2 which is one solution

hope this helps
Answer 2

Answer:

Infinitely many solutions

Step-by-step explanation:

Given system:

y - 2x = 24y - 8x = 8

Divide both sides of the second equation:

4y/4 - 8x/4 = 8/4y - 2x = 2

We got both equations same.

It means the lines representing the equations overlap, the system has infinitely many solutions.


Related Questions

Use the information to complete the Venn diagram. 80 people surveyed on pets they own. 64 people indicated they owned a dog. 34 people indicated they owned a cat and a dog.

Answers

Answer:

34 will go in the middle of the two, 80 is everybody who voted, end 64 is the people that own the dog. No people on the cat

Step-by-step explanation:

there

If an object's position over time is given by the function d(t)=(t^2 +3)e^-1/2 for greater than 0 , on what interval is the object's position increasing and concave down ?

Answers

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0

An unopened bag of gummy bears weighs 2 1/3 ounces. Drayven has 3/4 of a bag of gummy bears and Akila has 2/3 of a bag. Who has more? If they put their bags together, would they have more than one bag? Explain your answer.

Answers

Answer:

Drayven has more

Step-by-step explanation:

If you look at the fractions through a drawing you would see that my claim is correct.

M<1=m<5 true or false

Answers

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?​

Answers

Answer:

Step-by-step explanation:

c = children

a = adults

2200 people enter the zoo mean :

c + a = 2200

$4,550.00 is collected mean :

1.5 c + 4 a = 4550

Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550

c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c

1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700

a = 2200 - c = 2200 - 1700 = 500

1700 children and 500 adults

Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

The number of children and the number of adults are 1600 and 800, respectively.

What is the solution to the equation?

The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.

A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.

Let x be the number of children and y be the number of adults. Then the equation is written as,

x + y = 2400           ...1

1.5x + 3y = 4800

x + 2y = 3200    ...2

Subtract equation 1 from equation 1, then

2y - y = 3200 - 2400

y = 800

Then the value of x is calculated as,

x + 800 = 2400

x = 2400 - 800

x = 1600

The number of children and the number of adults are 1600 and 800, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


The perimeter of the triangle is
equal to the area of the rectangle.
What is the value of x?

Answers

Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21

can somebody help me with my language arts please???

Answers

Answer:

yes!

Step-by-step explanation:

4. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the Z statistic.

Answers

The z-test compares the two sample to determine the existence of a

difference in the two proportion.

The Z-statistic or test of the difference in proportion is approximately -2.106.

Reasons:

The given parameter are;

Number of women, n₁ = 120 women

Number of men, n₂ = 150 men

The population size = 150,000

Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%

Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%

The Z statistic is given as follows;

[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]

Number of men = 0.37 × 150 = 55.5

Number of women = 0.25 × 120 = 30

[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]

Which gives;

[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]

The Z-statistic is approximately -2.106

Learn more here:

https://brainly.com/question/15936512

7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?

(North Carolina Math 2)

A. $502 B. $512 C. $515 D. $525

Answers

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

The answer would be A. 502

When bisecting segments and angles, which step is the same?

Answers

Draw a ray with one endpoint

Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
io
14 cm

Answers

Answer:

  1330.5 cm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . for radius r and height h

The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...

  V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³

The volume of the cylinder is about 1330.5 cm³.

Answer:

1330.5

Step-by-step explanation:

Radius is half of diameter (11), so 5.5 was the other number I plugged in.

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Left 3 down 4

Step-by-step explanation:

I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.

Which of the following tables does not represent a function?

Answers

Answer:

It's the 3rd option

Step-by-step explanation:

A function cannot have one value of 5 associated to more than one value on y

What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18 ? (1 point) a Add 3 to both sides b Subtract 18 from both sides c Multiply both sides by 3 d Divide both sides by 4

Answers

Answer:

a

Step-by-step explanation:

3/4 x - 3 = -18

You should try to get all of one term on one side of the equation, and have the constant on the other side so the next step would be easy.

Here are the steps after you add 3:

3/4 x = -15

x = -5/4 (divide by 3/4 on both sides)

Answer is in the screenshot:

In a group of 84 kids, three-sevenths bought their lunches.Of those who bought their lunches got a slice of pizza? Write your fraction in simplest form

Answers

Answer:

There's not enough information to answer the question.

Step-by-step explanation:

The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.

Please check the mcq in the following picture and thank you

Answers

Answer 2nd one

Step-by-step explanation:

fkjlfljkfleruhgowjfgwklgnerql;ng;

Answers

Answer:

THX for points XD

Step-by-step explanation:

How to solve 4/3x + 7 = 25

Answers

Answer:

the answer is 2/27 or 0.074

Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution





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

Answers

The answer is x=6/7.

simplify
21m^2−122m+112/9m^2−196

Answers

Answer:

3m-8/7m+14

Step-by-step explanation:

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=3/5x+3

Step-by-step explanation:

3 is the y-intercept so that is the "b". To find the slope simply use rise/run.

evaluate -x^3 - 3x^2 + 4 when x = -2

Answers

The answer = 0

-(-2)^3 = 8

-3(-2^2)= -12

Then add 4

-12 + 4 + 8 = 0

Answer:

32

Step-by-step explanation:

x = -2

-x^3 - 3x^2 + 4

-(-2)^3+6^2+4

8+36+4=48

Hope this helps :)

Gus, Verid and their three children went to see a show.,
The children were charged half-price. If the total cost of the tickets was $94.50, how
much did each adult ticket cost?

Answers

Answer:

28.35 each adult

Step-by-step explanation:

About $27 for the adults tickets I believe

Use the similar triangles below to find the height of the tree

Answers

Answer:

D. 44 feet

Step-by-step explanation:

The ratio of corresponding sides is same for similar triangles:

H/5.5 = 24/3H = 5.5*8H = 44 feet

Correct choice is D

Consider the following equation.

x+2y=4
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Answers

X= -20

Substitute the value of y, which is 12, into the equation and solve for x.

X+2y=4
X+2(12)=4
X+24=4
-24 -24
——————
X=-20

State the rules for multiplying integers.

Answers

Answer:

If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.

If 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2021 cats to kill 2021 mice

Answers

Step-by-step explanation:

168 hours I guess

have a food day

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?

Answers

Answer:

$20

Step-by-step explanation:

correct me if im wrong(┬┬﹏┬┬)

Jamie Lee needs to save a total of $9,000 in order to get started in her cupcake café venture. She is presently depositing $1,800 a year in a regular savings account. Calculate the future value of these deposits.

Answers

Answer: 16,200,000

Step-by-step explanation: divide both numbers

The future value of her deposit would be in 5 years.

The total amount needed to start a cupcake cafe venture

= $9,000

Deposit per year = $1,800

Therefore, if $1,800 = 1 year

$9,000 = X

[tex]x = \frac{9000}{1800} [/tex]

[tex]x = 5[/tex]

Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.

Learn more about savings here:

https://brainly.com/question/25787382

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