solving special systems.

Solving Special Systems.

Answers

Answer 1

Given:

The equations of system of equations are

[tex]y=-4x-6[/tex]

[tex]-4x-y-6=0[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=-4x-6[/tex]         ...(i)

[tex]-4x-y-6=0[/tex]         ...(ii)

Adding y on both sides in (ii), we get

[tex]-4x-6=y[/tex]

[tex]y=-4x-6[/tex]

It is same as equation (i). So, we can say that equation (i) and (ii) represent the same line or they are coincident.

Thus, the system of equations has infinitely many solutions.

Therefore, the correct option is C.


Related Questions

what is the measure of cxd​

Answers

Answer:100 degrees

its 100

Mr. Chen write the expression 4 x (7 - 2^2) divided by 10 on the board. What is the value of the expression?

Answers

Answer: 120x

Step-by-step explanation:

I need to also know if it is

SAS
AA
SSS
NOT SIMILAR

Answers

NOT SIMILAR

Explanation:

Look at the bottom of the triangle, the bottom of the left one is shorter than the right making the triangles not similar.

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤

THANK YOU

Jonas works at a local car wash. The table shows Jonas' page based on the number of hours he works.

Question 1

Find the unit rate at which Jonas' is paid.

Question 2

Graph Jonas' pay on the graph.

Answers

The unit rate is 0.2

PLZZ HELP im conused

Answers

Answer:

one jumbo cost $4 and one chocolate cost $2

Step-by-step explanation:

Let the price eif one jumbo be x

Let the price of one chocolate be y

If one jumbo and 2 chocolate cost$6, then

x+2y= 6 ... 1

If one jumbo and 4chocolate cost $8, then;

x +4y = 8... 2

Subtract both equations

2y -4y = 6-8

-2y= -2

y = 1

Substitute y = 1 into 1;

From 1, x+2y = 6

x +2(1) = 6

x = 6-2

x = 4

Hence one jumbo cost $4 and one chocolate cost $2

Which ordered pair is a solution of the system of inequalities below?
2x – y ≥ -2
8x – y < 5

( This is due today pls help)

Answers

Answer:

I got A

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Find all real square roots of -9

Answers

Answer:

There are no real square roots of -9 or any negative number

Step-by-step explanation:

Find the product.
−3y2 (−4y3 + y − 9)

Answers

12y^5 - 3y^3 + 27y^2

The product of the expressions is 12y⁵-3y³+27y²

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, two expressions, -3y² and (-4y³+y-9) we need to find their products,

So,

= -3y² x (-4y³+y-9)

= -3y²(-4y³) -3y²(y) -3y²(-9)

= 12y⁵-3y³+27y²

Hence, the product of the expressions is 12y⁵-3y³+27y²

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Use the terms 4, 12a 6 2a and 24 to make equivalent expressions use each term only once use substitution to prove that the expressions are equivalent

Answers

Answer:

12a + 24 = 6(2a + 4)

Step-by-step explanation:

Given the numbers :

4, 12a 6 2a and 24 ; create an equivalent expression :

12a, 2a, 4, 6, 24

We could separate tbe constant terms and those with variables :

12a, 2a ; 6, 4, 24

We could put the larger digit to one side

12a + 24 = 6(2a + 4)

This way the Right hand side is equal to the left hand side.

Check:

12a + 24 = 6(2a + 4)

12a + 24 = 12a + 24

Hence, the proof

Find x.
x = 4
x = 5
x = 6

Answers

Answer:

Given triangles are similar

[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]

Value of x is 6.

Solving an Absolute Value Equation
What is the solution set of -+-=-122
O no solution
8-12
(12)
[-12 12

Answers

Answer:

{-12,12}

Step-by-step explanation:

it looks like that I guess

look at pic broooos so just do it rn

Answers

Answer:

b) 83.2 c) 62.5

For Matthew's lemonade recipe, 4 lemons are required to make 6 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?

Answers

Answer:

1.5 cups of lemonade per 1 lemon

Step-by-step explanation:

find the unit rate:

4/4=1

6/4=1.5

1.5 cups of lemonade per 1 lemon

I hope I read this correctly

is there one solution, no solution or infinite solutions for 7x+14=7(x+2)

Answers

Answer:

infinite solutions

Step-by-step explanation:

Answer:

Infinite Solutions

Step-by-step explanation:

To solve for the solution, distribute the 7 into (x+2), and the result is:

7x+14=7x+14

This means that the solution can be all values of x

For example, when x=1,

7(1)+14=7(1)+14

21=21

When x=2,

7(2)+14=7(2)+14

28=28

Studying atoms helps people by providing research to common problems found in our environment, universe, and ourselves. Such as cleaning up oil spills, identification of atoms in our universe, etc.

Answers

Answer:

Many accounts of the atom begin with a history of the growth in scientists' understanding of its structure, but here we will take the opposite approach, first discussing the atom in terms of what physicists and chemists today understand. Only then will we examine the many challenges scientists faced in developing the current atomic model: false starts, wrong theories, right roads not taken, incomplete models. In addition, we will explore the many insights added along the way as, piece by piece, the evidence concerning atomic behavior began to accumulate. People who are not scientifically trained tend to associate studies of the atom with physics, not chemistry. While it is true that physicists study atomic structure, and that much of what scientists know today about atoms comes from the work of physicists, atomic studies are even more integral to chemistry than to physics. At heart, chemistry is about the interaction of different atomic and molecular structures: their properties, their reactions, and the ways in which they bond.

Step-by-step explanation:

Sample Response: "Studying atoms is important because knowledge about atoms helps people to understand the world around them and produce materials used in daily life. Also, research done on atoms has contributed to the improvement of people's lives through medicine, to the protection of the environment, and to the discovery of new things about the world and the universe."

pls help i will give brainliest

Answers

Answer:

so the answer would points on al ine you got to make sure you look at the 5

Help me with my math please

Answers

The answer is -9
Hope it helped

Answer:

- 9

Step-by-step explanation:

3 cos π - 12 sin (5π/6) = 3(-1) - 12 sin (π - π/6) = -3 - 12 sin π/6 = -3 - 12(1/2) = -3 - 6 = -9

Michael exercises 4 hours during each 7-day week.
At this rate, how many hours does Michael exercise in 35 days?

Answers

Micheal will exercise 20 hours total!

Dylan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let PP represent Dylan's total pay on a day on which he sells xx computers. A graph of PP is shown below. Write an equation for PP then state the slope of the graph and determine its interpretation in the context of the problem.

Answers

P=2.50x+100

The slope of the function is 2.50 which represents the commission Dylan makes for each computer sale. :)

HELP PLEASE.....EASY QUESTION!!!!

Answers

Answer:

90% of confidence interval for the true population of club members who use compost

(0.44424 , 0.45576)

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' =200

Given that the sample proportion

            p = 45% = 0.45

Level of significance = 90% or 10%

Critical value Z₀.₁₀ = 1.645

Step(ii):-

90% of confidence interval for the true population of club members who use compost

[tex](p^{-} - Z_{0.10} \sqrt{\frac{p(1-p^{-} )}{n} } , p^{-} + Z_{0.10} \sqrt{\frac{p(1-p^{-} )}{n} })[/tex]

[tex]((0.45 - 1.645\sqrt{\frac{0.45(1-0.45)}{200} } , 0.45 + 1.645\sqrt{\frac{0.45(1-0.45)}{200} })[/tex]

(0.45 - 0.00576 , 0.45 +0.00576)

(0.44424 , 0.45576)

Final answer:-

90% of confidence interval for the true population of club members who use compost

(0.44424 , 0.45576)

PLEASE ANSWER VERY FAST
picture below of question

Answers

a= 4
b=-16
c=16

Hope that helps

What is the solution to y=-x+12

Answers

Your answer should be X=12


Here’s a picture , hopefully you guys can see

Answers

Yes I believe you are correct.

Answer:

Step-by-step explanation:

First you can find the area of the rectangle:

12 x 25 = 300

Then you can find the area of the triangle:

A = h x b / 2

A = 12 x 12 / 2

A = 72

Finally you add the rectangle and triangle together: 300 + 72 = 372

Two types of tickets are sold to a play. Floor
seats cost $45 each and balcony seats cost $25
each. A play sells 107 tickets and makes a total
of $3,375. How many of each type of ticket

Answers

Answer:

35 tickets at $35, 72 tickets at $25

Step-by-step explanation:

x+y=107 -> 5x+5y=535

45x+25y=3375

simplify, divide by 5 to get

9x+5y=675

Substract

 9x+5y=675

- 5x+5y=535

4x=140 -> x=35

y=107-35 = 72

Kendra ordered the remaining items. If she only had a $10.00 bill, then how much will she need to borrow from one of her friends?

Answers

Answer:

fbk;lm vn;djkfbnjklnbjknjobjnjnbjnbgjnbgjnbgjn

Step-by-step explanation:

Find x intercept y=4x-4

Answers

Answer:

(1, 0)

Step-by-step explanation:

X intercept is when y=0

0 = 4x - 4

4 = 4x

1 = x

X intercept is at x = 1


Satoshi started studying how the number of branches on his tree grows over time.
The relationship between the elapsed time t, in years, since Satoshi started studying the tree, and the
number of its branches, N(t), is modeled by the following function:
15
N(t) = 24 - 3
Complete the following sentence about the growth rate of the branches.
The number of branches triples every
years.

Answers

Answer:

The number of branches triples every 15 years.

Step-by-step explanation:

Satoshi started studying how the number of branches on his tree grows over time.

The relationship between the elapsed time t, in years, since Satoshi started studying the tree, and the number of its branches, N(t), is modeled by the following function:

N(t) = 24 - 3^t/15

Complete the following sentence about the growth rate of the branches. The number of branches triples every years.

The number of branches triples every 15 years.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the relationship between the elapsed time [t], in years, since Satoshi started studying the tree, and the number of its branches [N(t)], is modeled by the following function → N(t) = 24 - 3^t/15

The function that models the situation is -

N(t) = 24 - 3ⁿ/15    .... Eq[1]

After tripling the number of branches, we can write -

3N(t) = 24 - 3ⁿ/15

N(t) = {24 - 3ⁿ/15}/3     ..... Eq [2]

Equating both equations, we get -

{24 - 3ⁿ/15} = {24 - 3ⁿ/15}/3

3{24 - 3ⁿ/15} = {24 - 3ⁿ/15}

72 - 3ⁿ/5 = 24 - 3ⁿ/15

72 - 24 = 3ⁿ/5 - 3ⁿ/15

48 = 3ⁿ(1/5 - 1/15)

n = 15

Therefore, the number of branches triples every 15 years.

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Monica got a $4,500 car loan, to be paid in 3 years. The interest rate is 5%. What will the interest rate is 5%. What will be the interest be at the end of the 3 years? What is the total she will need to pay back?

Amount of Interest:

Total amount paid back:


(Please include how you got the answer and not just take my points for no reason)

Answers

Answer:

$5,175

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 4500 × 0.05 × 3 = 675

I = $ 675.00

The simple interest accumulated

on a principal of $ 4,500.00

at a rate of 5% per year

for 3 years is $ 675.00.

can i have some help on this question pls
James and Anna share £42 in the ratio 4:3
Work out how much each person gets.

Answers

Answer:
James gets £24
Anna gets £18

Explanation:
4 + 3 = 7
42 divided by 7 = 6

James= 6 x 4 = 24
Anna= 6 x 3 = 18

To check the answer do
24 + 18 = 42

Which of these strategies would eliminate a variable in the system of equations? \begin{cases} 2x - 5y = 13 \\\\ -3x + 2y = 13 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 2x−5y=13 −3x+2y=13 ​

Answers

Answer and Step-by-step explanation:

Given the system of equations:

2x – 5y = 13

–3x + 2y = 13

We can decide to eliminate either x or y in order to solve the simultaneous equations.

1. To eliminate x:

Multiply the first equation by the coefficient of x in the second equation and multiply the second equation by the coefficient of x in the first equation. By doing this the coefficients of x in the equations would be the same and subtracting them to be equal to zero becomes easy, thus eliminating that variable.

The coefficient of x in the second equation is –3, if we multiply the first equation by it we have:

–6x+15y = –39

The coefficient of x in the first equation is 2, if we multiply the second equation by it we have:

–6x+4y = 26

Subtracting the resulting equations we have:

11y = –65 and x is eliminated.

2. To eliminate y:

Multiply the first equation by the coefficient of y in the second equation and multiply the second equation by the coefficient of y in the first equation. By doing this the coefficients of y in the equations would be the same and subtracting them to be equal to zero becomes easy, thus eliminating that variable.

The coefficient of y in the second equation is 2, if we multiply the first equation by it we have:

4x–10y = 26

The coefficient of y in the first equation is –5, if we multiply the second equation by it we have:

15x–10y = –65

Subtracting the resulting equations we have:

–11x = 91 and y is eliminated.

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