To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist

Answers

Answer 1

Answer:

because the graphs of the two equations overlap each other

Step-by-step explanation:

when two graphs have the same line, the line overlaps so it looks like only one line. therefore, the answer is

C) because the graphs of the two equations overlap each other.


Related Questions

The lengths of the sides of a triangle are given. State whether the triangle is obtuse, acute, or right.
12in, 10in, Sin

Answers

Answer: i think acute but im not positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

5²+10²=25+100=125

12²=144>125

so obtuse

a rocket was launched into the air from a platform above the ground

Answers

Answer:

what kind of question is

Step-by-step explanation:

that

What does x = ?
5/2 • x =1

Answers

Answer:

2/5

Step-by-step explanation:

5/2x = 1

2/5 x 5/2x = 1 x 2/5

x = 2/5

Answer:

x = 2/5

Explanation:

Step 1: Multiply both sides by 2/5.

(2/5) * (5/2x) = (2/5) * (1)

x = 2/5


Estimate using Compatible numbers for

5564 divided by 91

Answers

Answer:

estimate = 61

real answer = 61.1428571429

Step-by-step explanation:

A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?

Answers

Answer:

13.50

Step-by-step explanation:

you multiply 30 with 0.7 to get the tax then divide by 20% of that to get the answer

Answer:

bill = $30

sales tax = 0.07         from 70%

tip = 0.2      from 20%

After Tax Bill

After Tax Bill = Bill * (1 + sales tax)

After Tax Bill = $30 * (1 + 0.07)

After Tax Bill = $30 * 1.07

After Tax Bill = $32.1

Total after tax and tip

Total Bill = After tax Bill * (1 + tip)

Total Bill = $32.1 * (1 + 0.2)

Total Bill = $32.1 * 1.2

Total Bill = $38.52

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Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Which expression is equivalent?

Answers

Answer: c 5 to fifth

Step-by-step explanation:

Hey there!

5^10 • 5^5

5^10 ⬇️

= 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5

= 25 • 25 • 25 • 25 • 25

= 625 • 625 • 25

= 390,625 • 25

= 9,765,625

5^5 ⬇️

= 5 • 5 • 5 • 5 • 5

= 25 • 25 • 5

= 625 • 5

= 3,125

9,765,625 • 3,125 = 30,517,578,125

Finding what is equivalent to: 30,517,578,125

Option A: 5^2 = 5 • 5 = 25 (CAN’T be the answer because it is TOO SMALL)

Option B: 5^5 = 5 • 5 • 5 • 5 • 5 = 3,125 (CAN’T be the answer because it is TOO SMALL)

Option C: 5^15 = 30,517,578,125 (CAN be the answer because it is equivalent to the given equation)

Option D: 5^50 (CAN’T be the answer because it is TOO BIG)

Answer: Option C. 5^15 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The number of fiction books in a libary is %150 of the number of non-fiction books. the libary has 4,000 books in total. how many fiction books and how many non-fiction book are in the liabry?

Answers

Answer:

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

Step-by-step explanation:

Let the number of

Fiction books = x

Non fiction books = y

The libary has 4,000 books in total.

Hence: x + y = 4000........ Equation 1

The number of fiction books in a libary is %150 of the number of non-fiction books.

x = 150% of y

x = 150/100 × y

x = 1.5y

We substitute 1.5y for x in Equation 1

x + y = 4000

1.5y + y = 4000

2.5y = 4000

y = 4000/2.5

y = 1600 non fiction books

Solving for x

x = 1.5y

x = 1.5 × 1600

x = 2400 fiction books.

Therefore,

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

x over 2 (as in fraction) minus 8 =y, solve for x

Answers

Answer:

x = 2y + 16

Step-by-step explanation:

     [tex]\frac{x}{2} - 8 = y[/tex]

[tex]\frac{x}{2} - 8 + 8 = y + 8[/tex]                   (adding 8 to both sides)

           [tex]\frac{x}{2} = y + 8[/tex]

         [tex]\frac{x * 2}{2} = (y + 8)*2[/tex]           (multiplying both sides by 2)

            [tex]x = 2y + 8 * 2[/tex]

            [tex]x = 2y + 16[/tex]

Happy to help :)

A seafood market sold shrimp for $10.50 per pound. Due to a seafood supply shortage the cost of shrimp increased to $12.60 per pound. What was the percentage of the price increase?

plslslsl help :')

Answers

$2.10 you just need to subtract 12.60-10.50 and you get 2.10

Brendan has six less than five times the number of pencils that Riley has. Let p represent the number of pencils Riley has. Write an algebraic expression that represents the number of pencils Brendan has in terms of p, the number of pencils that Riley has.

Answers

Answer: 5p - 6

Step-by-step explanation:

Brendan has six less than five times the number of pencils that Riley has.

P = the number of pencils Riley has.

The algebraic expression that represents the number of pencils Brendan has in terms of p, the number of pencils that Riley has would be:

= (5 × p) - 6

= 5p - 6

For example, if Riley has 5 pencils, the number of pencils that Brendan would have would be:

= 5p - 6.

= 5(5) - 6

= 25 - 6

= 19 pencils

Transversal t intersects lines d and e to form 8 angles. The angles formed with line d, clockwise from top left are 1, 2, 7, 8. The angles formed with line e, clockwise from top left are 3, 4, 5, 6. Which angle is an alternate exterior angle to ∠8? ∠3 ∠4 ∠5 ∠6

Answers

Answer:

B. Angle 4

Step-by-step explanation: because they're opposites sides of the transversal

I don't really have a reason and this is the best I got...it just randomly clicked it and got it right so ya. Sorry I wasn't able to explain it :(:

Answer: The answer is B, (4 and 2)

Step-by-step explanation: Just got it correct on Edge, hope this helps :)

Lisa has $6450 in her savings account. If the bank pays 3.7% interest per year on savings, how much interest does she earn in one year?

Answers

Interest = Principal × Rate × Time

100

=> 6450×3.7×1

100

=> $238.65

Hope it helps!

Answer: Interest = Principal × Rate × Time

100

=> 6450×3.7×1

100

=> $238.65

Step-by-step explanation:

Give two ways to write the algebraic expression p ÷ 29 in words.
the quotient of p and 29
p divided by 29

the quotient of 29 and p
29 divided by p

the product of p and 29
p times 29

p subtracted from 29
p less than 29

Answers

The two ways to write the algebraic expression is the quotient of p and 29 and or p divided by 29. Option A

What are algebraic expressions?

Algebraic expressions are expressions comprising of variables, terms, factors, coefficients, constants.

These expressions are also made up of arithmetic operations such as;

AdditionSubtractionMultiplicationDivisionBracket

From the information given, we have the expression as;

p ÷ 29

It is important to note that the sign for division is '÷' or '/’

Division is an arithmetic operation is also called quotient.

Now, we can say that;

p ÷ 29 is the quotient of p and 29 and or p divided by 29.

Thus, the two ways to write the algebraic expression is the quotient of p and 29 and or p divided by 29. Option A

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Simplify the following expression: 3w-8-w+10
Im confused about simplifying so simplifying it would probley help me

Answers

Answer:

ok!

Step-by-step explanation:

3w-8-w+10

2w+2

write an equation in slope-intercept form for this line.

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 4, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = [tex]\frac{3}{2}[/tex] x - 1 ← equation of line


What does the diagram at the left tell us about the two
triangles? Your answer should include the name of a
specific type of transformation.

Answers

Answer:

Its enlargement

Step-by-step explanation:

Its enlargement!

hope it helps

HELP WITH THIS QUESTION PLEASE!

Answers

Answer:

23.7°

9.1~ft

Step-by-step explanation:

Formula for the area of a sector of central angle n (in degrees) and radius r:

[tex] A = \dfrac{n}{360^\circ}\pi r^2 [/tex]

We have:

A = 100 ft^2

r = 22 ft

We need to find:

r

[tex] 100 = \dfrac{n}{360^\circ}\pi (22^2) [/tex]

[tex] n = 23.7^\circ [/tex]

The central angle measures 23.7°.

Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:

[tex] s = \dfrac{n}{360^\circ}2 \pi r [/tex]

We have:

n = 23.7°

r = 22 ft

We need to find:

s

[tex] s = \dfrac{74.4}{360}2 \pi (22 ft) [/tex]

[tex] s = 9.1~ft [/tex]

Is here something wrong with me?

I'm always hurting it doesn't seem like it is going to change people are always leaving when I need them the most im always crying. is this all there is? pain, suffering, and lonely ness. how much longer do I have to hurt like this? when are people going to actually stay in my life? when am i going to actually be happy? im tired of hurting and faking all the time. I'm loosing all hope

Answers

There is nothing wrong with you. Everyone ad their ups and downs

This is a process that happens in most humans. most often happening to teenagers due to their increased hormones during their puberty.  I would recommend getting attached to music as a form of reliance. I too had my days when I would be depressed but I got through it by attaching myself to something rather than someone. people's actions in real life during this time can seem exaggerated to you so it would be best to just ignore people for now if you are sensitive and just listen to music, study, or read a book to take your mind off the stress. However, based on the current trends I would recommend you to get attached to this thing called Kpop. recently I conducted a survey and many people said they were happier watching stuff about pretty people rather than going out and socializing. you could attach yourself to a particular idol and "stan" them as it would keep your mind off people. however, this method although effective can lead you to become a brain dead fan who will waste money and become a loner I suggest that if taking this idol attachment approach that you go out and try to connect with new people or try to reunite with your old people too so that you don't lose touch with reality. And lastly, it could be just that this Current situation stress is weighing too heavily on you and you have mistaken it and you just need a period of rest to get your bearings back. I recommend you try a period of resting and self-indulgence, then if that doesn't work music, and if the music doesn't work then attach yourself to an idol. Don't give up and try something new

What is the value of x?

Answers

THE ANSWER IS D 8 BECAUSE I DID THE MATH

What are the equation and slope of the line shown on the grid?

Answers

what grid ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀

Answer: The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope. y = mx+b is the equation to get slope.

Step-by-step explanation:

can someone help pls 18-3 X 2/5-1^2

Answers

Answer:

3

Step-by-step explanation:

Remember the order of operations using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).  So, you get  18 - 6   / 5-1  = 12/4 = 3

Answer: 3

Step-by-step explanation:

What will most likely happen to a characteristic that has a high survival value in a population?

The characteristic will...

Answers

The characteristic will spread and be more common throughout populations.

The required characteristic that has a high survival value in a population is likely to become dominant or common.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

A characteristic that has a high survival value in a population is likely to become more common over time. This is because individuals with this characteristic are more likely to survive and reproduce, passing the trait on to their offspring. Over generations, this process, known as natural selection, can lead to an increase in the frequency of the advantageous trait in the population. Over time, the characteristic that has a high survival value in a population is likely to become dominant.

Thus, the required characteristic that has a high survival value in a population is likely to become dominant or common.

Learn more about Statistics here:
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2(x+4) = 22 please help

Answers

Answer:

x=7

Step-by-step explanation:

2x+8=22

2x=22-8

2x=14

x=7

Answer: 9

Step-by-step explanation: 22-4=18 18/2=9

help me with this pls

Answers

100 kids and 38 chose football

b(x) =(x+4) (x-2)^3 . What are the zeros of b(x)?

Answers

Answer:

-4, 2

Step-by-step explanation:

I plugged into desmos.

So you need to find the variable for. X =

X + 5 = -1

Answers

it should be x= -6, if you’re trying to figure out what X is
Find the x
Answer: x=-6

Can anyone answer this please?

Answers

i think its 4x and I'm sure

Answer:

c option 4x because it is multiplied

3\tfrac{1}{4} \div \frac{5}{6} 3 4 1 ​ ÷ 6 5 ​ \text{State your answer as a mixed number in simplest form.} State your answer as a mixed number in simplest form.

Answers

9514 1404 393

Answer:

  3 9/10

Step-by-step explanation:

It looks like you want to do the division ...

  (3 1/4) ÷ (5/6)

  = (13/4) ÷ (5/6) = (13/4)×(6/5) = 78/20 = 39/10

  = 3 9/10

Guys can y'all help me out D:

Answers

the answer is letter A

Answer: a

Step-by-step explanation: thanks for being my friend and sorry if im wrong

4(f+3)=62 whats the value of f

Answers

Step-by-step explanation:

4f+12=62

4f=62-12

4f=50

f=50/4

f=12.5

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