Line A is represented by the equation given below: x + y = 2 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) a 2x + 2y = 2 b 2x + 2y = 4 c 2x + y = 2 d x + y = 4

Answers

Answer 1

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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Related Questions

Find the Volume of a triangular pyramid! ~

Answers

Answer:

20

Step-by-step explanation:

using the given formula:

V = 1/3(Base Area)(height)

V = 1/3 (5)(12)

V = 1/3 (60)

V = 20

Answer:

20

Step-by-step explanation:

V = 1/3Bh

V = 1/3 x 5 x 12

V = 4 x 5

V = 20 cubic feet

Given 184% what is the equivalent fraction and decimal in simplest form?

Answers

Step-by-step explanation:

184% = 46/25 = 1 21/25 as a fraction

A television game show has 12 ​doors, of which the contestant must pick 2. Behind 3 of the doors are expensive​ cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.

Answers

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

[tex]\blue{———hope it helps———}[/tex]

[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.

What type of material did the water most likely encounter when it stopped?

a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks

Answers

Answer:

A layer of granite

Step-by-step explanation:

This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.

The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We get;

An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.

After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.

Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.

In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.

Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

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Which is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 12 feet and side C B is 35 feet. StartRoot 94 EndRoot ft

Answers

Answer:37

Step-by-step explanation:

just took the test

RIGHT ANSWER GETS BRAINLIST WORTH 30+ POINTS

Two number cubes are rolled.

What is the probability that the first lands on 6 and the second lands on an even number?

Select your answer, as a fraction in simplified form.

Question 5 options:

1/6


2/6


1/12


1/3

Answers

Answer:

Hi. Here is your answer:

1/6

Step-by-step explanation:

this is because 1/6 is equal to 5/30 of your answer.

here is proof.

which school do you go to?

Hope this helps

Brainliest please

Have a great day

Please fully rate!

The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]

Calculation of the probabilities:

Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.

Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.

Now the final probability should be

[tex]=\frac{1}{6}*\frac{1}{2}[/tex]

[tex]=\frac{1}{12}[/tex]

Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]

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Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]

Answers

Answer: 117/35 or 3 12/35

Step-by-Step Explanation:

1 1/5 = 6/5 (improper fraction form)
2 1/7 = 15/7 (improper fraction form)

Now we can add 6/5 and 15/7. To do this we have to take the LCM of 7 and 5 which would be 35 and make the denominators equal by multiplying the denominator and numerator with such a number that gives 35 as the denominator.

=> (6 * 7)/(5 * 7) = 42/35
=> (15 * 5)/(7 * 5) = 75/35

Now we can add the fractions.

=> 42/35 + 75/35
= (42 + 75)/35
=> 117/35 or 3 12/35

GIVING BRAINLIEST!!!!!

Answers

Answer: No because collinear means they’re on the same line, and they’re not

HELP!!

Find the lateral area of the pyramid to the nearest whole number

85 m2

77 m2

47 m2

51 m2

literally ur the best human if u answer this :)

Answers

Answer:

The area of the pyramid is 51 m²

Answer:

The answer is 51m

Step-by-step explanation:

The length of a race is 26 miles and 385 yards. what is the length of the marathon in yards

Answers

Answer:

46,145 yards

Step-by-step explanation:

convert miles to yards then add

somebody please help me with this​

Answers

Answer:

1/21

Step-by-step explanation:

there are 7 songs total

3 rock sounds, 2 reggae songs and 2 country songs

probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time

probability of choosing a country song first time = # of country songs / # of total songs

# of country songs = 2

total # of songs= 7

so probability of picking a country song = 2/7

if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country

probability of choosing country song second time

again probability = # of country songs / total # of songs

here there are only 6 songs total and 1 of them are country

so probability = 1/6

we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time

first probability = 2/7

second probability = 1/6

total probability = 2/7 × 1/6 = 1/21

Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.

Answers

The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.

How to calculate the tax?

From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,

The income tax will be:

= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)

= 50000 + 4500 + 10000 + 40000 + 37500

= 142000

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HELP!!

Which of the statements below are true for linear functions? Select all that apply.

1. The general equation is y = mx + b.

2. The general equation is y = ax^2 + bx + c

3. The general equation is y = ab^x

4. The graph contains a vertex

5. The slope of the graph is constant and can be defined as rise over run.

Answers

[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

         Which of the statements below are true for linear functions?

         Select all that apply.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

       The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].

The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.

The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.

Linear functions don't have a vertex, they have slope (m) and y-intercept (b).

One way we can define the slope of a linear function is

[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]

So we conclude that the right options are

[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.

[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

How would logx (49) = x look like in exponential form

Answers

I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]

If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]

This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]

For both equations, the 'b' is the base.

Select the correct answer. what is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? a. 0.257 b. 0.284 c. 0.312 d. 0.356 e. 0.548

Answers

Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.

What is the probability of having the required hemoglobin level?

This question does not have the relevant data attached so I will use a similar question.

The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:

= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years

= (162 - 40 - 76) / 162

= 0.531

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Nick's science class is learning about animal classification, and they listed as many animals as they could in a minute. They came up with 32 mammals, 16 birds, 8 amphibians, 8 reptiles, 12 fish, and 4 invertebrates.

Select all of the statements that describe the data.

They listened to an equal of amphibians and reptiles.

There are more mammals on the list than birds and fish combined.

The modes of the data are amphibians and reptiles.

A quarter of the animals they listened are either amphibians or fish.

Answers

Answer:

The second one is the correct answer

Step-by-step explanation:

There are more mammals on the list than birds and fish combined.

use your formula to convert 20 minutes to seconds please help me​

Answers

Step-by-step explanation:

Converting 20 minutes into second....

20 × 1 minute

20 × 60 seconds

1200 seconds...

A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?

Answers

So this is very tricky but it’s going to be the sell of the price

pls help and thank you ​

Answers

Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

i have a slight feeling the answer ain’t 21

Answers

Answer:

I think it is

Step-by-step explanation:

4,8,5,15,6,12,7,6

8,5,15,6,12,7

5,15,6,12

15,6

15+6=21

Grace bought a new sweater on sale for 20% off the original price and an additional 15% off the discounted price. If the sweater originally cost $60, what was the final cost that Grace paid for the discounted sweater?

Answers

Answer:

$40.80.

Step-by-step explanation:

60 - 0.20*60

= 60 - 12

= $48

48 - 48*0.15

= 48 - 7.20

= $40.80.

Mick recently had new carpet installed. the cost of the carpet including installation was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mick actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes.

Answers

Answer:

8%

Step-by-step explanation:

Let’s first determine the cost before any discount.

To do so, we first need to determine the area to be carpeted:

Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.

To find the cost before discount we need to multiply the area by the cost per square foot:

Cost Before Discount = Area × Cost per square foot

Cost Before Discount = 432 square feet × $8.14 per square foot

Cost Before Discount = $3,516.48

We can now determine the discount percentage he received:

Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)

$3,235.16 = $3,516.48 – (Discount % × $3,516.48)

To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.

We find that a discount of 8% is the correct solution.

If you instead prefer to use algebra to solve for the discount percentage, here are the steps.

We will rewrite the equation, using x to represent “Discount %”.

$3,235.16 = $3,516.48 − (x × $3,516.48)

$3,235.16 = $3,516.48 − $3,516.48x

Factoring out $3,516.48 we have:

$3,235.16 = $3,516.48(1 − x)

Note: Once you get comfortable with this type of problem you should skip straight to the step above.

Dividing both sides by $3,516.48 we have:

$3,235.16$3,516.48=1−x

0.92 = 1 − x

x = 0.08 = 8%

Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?

A - 12 units

B - 14 units

C - 17 units

D - 19 units

Answers

The value of x will be equal to 14 units.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Since the two triangles are congruent so the value of x will be calculated as:-

2x  -  9  =  x  +  5

2x  -  x  =   9  +  5

x  =  14

Therefore the value of x will be equal to 14 units.

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C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).

Answers

The length would be 3 feet and the area would also be 18 feet
18-6-6=6/2=3
The length is 3
The area is 18

A store buys 11 sweaters for $55 and sells them for $286. How much profit does the store make per sweater?

Answers

Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

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A cylindrical pipe is 28m long.its internal radius is 3.5 and external radius is 5 cm calculate:

The volume in cm,of the metal used in making the pipe

The volume of water in litres that the pipe can hold when full,correct to one decimal place

Answers

The volume in cm 112098 cm³.

The volume of water in liters 112 liter.

What is volume of cylinder?

The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder.

Given: height= 28m= 2800cm, internal radius= 3.5 cm, external radius = 5 cm.

Volume of cylinder

= πr²h

= 3.14(5²-3.5²)2800

=3.14*12.75*2800

=112098 cm³

Volume of water in liter is 112.098 or 112 liter.

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5) For the geometric sequence with the following terms, a8= 32 and a11= 256, find the ratio and then find a13

Answers

Using geometric sequence concepts, it is found that:

The common ratio is of 2.The 13th term is of 1024.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

As a function of the mth term, the nth term is given by:

[tex]a_n = a_mq^{n - m}[/tex]

Hence, considering the 8th and the 11th term, the common ratio is found as follows:

[tex]a_{11} = a_8q^3[/tex]

[tex]32q^3 = 256[/tex]

[tex]q^3 = 8[/tex]

q = 2.

Then, considering the 11th term and the common ratio, the 13th term is given as follows:

[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]

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Write the system of equations and construct the corresponding matrix model for the following exercise.Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 8% of individuals carrying allele X mutate to carry allele Y, 6% mutate to allele Z; and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.

Answers

The system of equations and the corresponding matrix model for the following above is given and explained below.

What is a system of equations?

A system of Equations refers to a set of equations that one must solve or interact with all at once.

What is the system of equation for the exercise above?

Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.

Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:

100 - (5 percent + 3 percent) = 92 percent.

Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.

We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.

Hence, the various equations describing the system will be given as:

Xt+1 = 0.92Xt + 0.92Zt

Yt+1 = 0.05Xt + 0.999Yt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt

or

Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt

Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt

Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.



What is the Matrix Model for the above system of equations?

The Matrix Model is given as follows:

[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex]  = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex]  = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]

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Simplify the expression. Write your answer as a power.

Answers

Answer:

π^8

Step-by-step explanation:

π^30/π^22= π^8

Question 3 :

Find the value of 3x3 - 4x2 + x - 5 when x = -3

(A) -54 (B) -71 (C) -32

Answers

Substitute the X value
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