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:

Henry could only see one line because both equations have the same expression when simplified:  y = 3/2x - 2.

Source:

https://brainly.com/question/9764595


Related Questions

A display at a grocery store for tomato soup says "5 cans for $3.00." At the same rate, what would be the cost of 8 cans of tomato soup?

Answers

Answer:

4.8 $

Step-by-step explanation:

5 cans = 3 $

then:

1 can  = 0.6 $ because 0.6*5 = 3

Now 0.6*8 cans = 4.8 $

Answer:

  $4.80

Step-by-step explanation:

The cost will be proportional to the number of cans. If the number of cans goes up by a factor of 8/5, so does the cost.

  cost of 8 = (8/5)($3.00) = $4.80

i did the upgrade what do i do now?

Answers

Wdym.? What upgrade are u referring to.?

Find
Area of triangle when base is 4cm and angles 60 and 70

Answers

Answer:  Area = 6.64966

Step-by-step explanation:

What is another way to write the calculation add 16 and 25, and then multiply by 47?

Answers

Answer:

(16+25)×47

Step-by-step explanation:

..........

simple.
(16+25)x47 , theree you go

HELP, ILL GIVE BRAINLST



Imagine that you have been asked to do an infomercial for a new sous vide tool. You are instructed to not only explain how the tool works but what some of the benefits of this cooking method are. Write a brief script that you could use for this infomercial.

Answers

Answer:

Sous vide is the process of sealing some kind of protein in an airtight “vacuum” container and then submerging it in the water at a specific temperature. By sealing them up and dropping them in a large pot of water to cook, there is no fire, no heated metal, no steam, and no smoke. And oddly enough, the water never even comes to a full boil—it just rests at the exact temperature the protein needs to reach for “doneness.” It takes a little longer than some other methods, and it guarantees to never overcook the protein, which can be particularly wonderful if you like your steak with just that perfect amount of pinkness. Sous vide machines used to be specialized equipment for fancy restaurants, but not anymore. These days, a lot of home cooks use small, affordable pots with the exact same cooking power. If you’re having friends over for dinner, sous vide makes pre-party prep a whole lot easier, plus sealed proteins can be kept in the fridge for at least one week. It also guarantees you will never overcook that $30 filet mignon again or stand over a hot stove when you’d rather be doing something else. And because the slowness of sous vide method allows fibers within the protein to contract more slowly, the meat stays juicier.

Step-by-step explanation: Hope this helps

Plzzz plzzzzzz help meeeee

Answers

Answer:
A.
Hope it helpsssÙnÚ

mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a fraction and a percent

Answers

The fraction of the time given in a day is 1/288

Given the following parameters

The minute that mile gave his buddy = 5minuts

We are to get the fraction of this time in a day.

Convert 1 day to minute

1 day = 24 hrs * 60 mins 1 day = 1440 minuts

Fraction = 5/1440

Fraction = 1/288

Hence the fraction of the time given in a day is 1/288

Learn more on fractions here: https://brainly.com/question/78672

Adding a few more points to this one plz answer the question in the picture

Answers

Answer:

The greatest number of arrangements possible would be 5

Step-by-step explanation:

If we look at the x values (in this case # of tulips remaining) we can find the number 20. And we see that there is a line going through it. We then stop at the point and go down to see what number it would fall on on the y axis.

She can have 5 arrangements if she wants 20 tulips left.

Heather earns $16
$
16
for each hour she works as a lifeguard.

Choose the equation that models the situation, where ℎ
h
represents the number of hours she works and
m
represents the money she earns.

Answers

Answer:

$128 a day

Step-by-step explanation:

if she works 8 hours a day/ aka full time then its different from what she earns half time/4 hours, most likely she's working fulltime so ure answer would be $128 a day

(I would be happy if u marked me brainiest) thank you

HELP!!!

The difference of x and 15 is 62.

Answers

Answer:

x=77

Step-by-step explanation:

x-15 = 62

x = 62 + 15

x = 77

x=77. I hope this helps.

The sum of a number and negative three, multiplied by the number? ​

Answers

Answer:

x² - 3

This expression is not linear

Step-by-step explanation:

Let x = unknown number

The sum of a number and negative 3

Sum = addition

We are adding the unknown number "x" and -3

So we have x + (-3) or just x - 3

The sum of that is multiplied by the unknown number

So we get ( x - 3 ) x

We can then simplify this expression to get  x² - 3x

Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line

a wall that is 1.4m long has started lean and makes an angle of 80’o with the ground. A 2.0m board is jammed between the top of the wall and the ground to help prop the walk up. What angle does the board make with the
ground?

Answers

well i see that 1x 1 is 2 so that’s your answer!!!!!!!!!

The length of a rectangle is 5cm more than its breadth . if the perimeter of the rectangle is 40cm , find the dimension of the rectangle .

Don't give unwanted ans to get the points
no spams and plagiarism ( kindly stay out of the question if you don't know the ans )
well explained ans needed

thx !!

Answers

Let the breadth of the rectangle be x cm lenght of the rectangle = ( x + 5 ) cm

perimeter of the rectangle = 2 ( l + b )

2 ( x + x + 5 ) cm 2 ( 2x + 5') cm ( 4x + 10 ) cm

4x + 10 = 40

4x = 40 10 ( transpose 10 to RHS )

x = 30/4 = 7.5 ( divide both sides by 4 )

lenght of the rectangle = x + 5 = 7.5 + 5 = 12.5 cm breadth of the rectangle = x = 7.5 cm

Breadth be xLength be x+5

ATQ

[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2x+5=20[/tex]

[tex]\\ \sf\longmapsto 2x=15[/tex]

[tex]\\ \sf\longmapsto x=7.5[/tex]

Length=12.5cmBreadth=7.5cm

answer this please

as percentages

Answers

Where is the question??

mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5

Answers

Answer:

god help you

Step-by-step explanation:

i think we should add all the ratio together.......

Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15 Multiplication Property of Equality 2x = â’36 Subtraction Property of Equality x = â’18 ? Division Property of Equality Distributive Property Addition Property of Equality Subtraction Property of Equality.

Answers

The correct option is B. Distributive property

Given,

[tex]\frac{2}{3} x+7=-5\\[/tex]

On solving the above equation,

multiplying both sides by 3 we, get

[tex]2x+21=-15[/tex]

now subtracting 21 from both the sides,

[tex]2x=-36\\[/tex]

dividing both the sides by 2 we get,

[tex]x=-18[/tex]

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

For more details follow the link:

https://brainly.com/question/13130806

Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

Answer:

95%

i think it should be that

5% because you take the 6 that was the difference and then you divide it by the whole and then you multiply the decimal by 100 to get 5%

The graph shows how many sheets of paper a paper folding machine can fold in a certain number of minutes. Choose one ordered pair on the graph. What does it represent in this situation?

Answers

Answer:

  (40, 6000) = 6000 sheets folded in 40 minutes

Step-by-step explanation:

Each point on the graph represents ...

  (minutes, sheets folded)

The point (40, 6000) represents that the machine can produce 6000 sheets folded in 40 minutes.

estimate the area hurry.​

Answers

Answer:

32.5 and 30

Step-by-step explanation:

I counted the unit squares one by one.

Hope this helped! :)

Question Find the difference of (t−8)−(t+15)

Answers

Answer:

-23

Step-by-step explanation:

(t-8) - (t + 15)

t - 8 - t - 15

-8 - 15

-23

2y = 3x-1
4x/y + 9y/x = 15
Find x and y

Answers

Answer:

  (x, y) = (3/7, 1/7) or (3, 4)

Step-by-step explanation:

The second equation can be rearranged to ...

  4x^2 +9y^2 = 15xy . . . . . . multiply by xy

  4x^2 -15xy +9y^2 = 0 . . . subtract 15xy

  (4x -3y)(x -3y) = 0 . . . . . . factor

This resolves to two linear equations:

 4x -3y = 0

  x -3y = 0

__

Combined with the first equation, we get two systems of equations. We can solve both of them at once by substituting for y and using a stand-in for the coefficient of x.

  y = (3x -1)/2 . . . . first equation solved for y

  Cx -3(3x -1)/2) = 0 . . . . substitute for y in the 2nd/3rd equations (C = 1 or 4)

  2Cx -9x +3 = 0 . . . . . multiply by 2

  x(2C -9) = -3 . . . . . . .subtract 3

  x = -3/(2C -9) = 3/(9 -2C) . . . . . remembering that C = 1 or 4

__

For C=1, x = 3/(9 -2) = 3/7

  y = (3(3/7) -1)/2 = 1/7

For C=4, x = 3/(9 -8) = 3

  y = (3(3) -1)/2 = 4

The solutions are (x, y) = (3/7, 1/7) and (3, 4).

_____

Additional comment

We could have substituted for y in the quadratic form of the second equation. This would give a quadratic in x that could be solved in any of the usual ways.

Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is

Answers

Answer:

117 square inches

Step-by-step explanation:

234/2

Answer:

A = 117 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 18 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²

help pls again hmmmm​

Answers

Answer:

here is your answer

Step-by-step explanation:

option d.)5³/3³

Help please Pretty plz ​

Answers

Answer:1/10

Step-by-step explanation:

Start by multiplying 1/100 by 1/10

The answer will be 1/1000

A bookshelf has 7 shelves, each measuring 4 feet 3 inches in length.
The average width of a book is 3/4 inch. How many books will the
shelves hold?

Answers

I think the answer would be 64 books because 4x12 is 48 then you would multiply that by 3/4 which would get you 64.
Hope this helps and sorry if it’s wrong I don’t think it is but it could be ‍♀️

Which of the sets of ordered pairs represents a function? A={(-4, 5), (1, -1), (2, -2), (2, 3)} B = {(2, 2), (3, -2). (9. 3). (9, -3)} Only A Only B Both A and B Neither Anor B​

Answers

Answer: Neither A or B

Step-by-step explanation: In order for a relation to be a function, a relation can not have the x-values repeat. Y-values can repeat an infinite amount of times but x-values can only repeat 1 time in a given relation. In relation A, you have (2,-2), and (2,3) and relation B, you have (9,3), and (9,-3). You can also graph both of these relations and do a vertical line test with your pencil and see that it would cross more than once.

Hope this helps.

Answer:

Neither A nor B

Step-by-step explanation:

A function is a relation that has a unique x value for every y value. This means that the x-values will never repeat. So, to figure out if a list of coordinates is a function check the x-values. If they never repeat, then it is a function. However, in the case of both A and B, the x-values repeat. For, relation A the value 2 repeats, and for relation B the 9 value repeats. Therefore, neither are functions.

What is |-8| ? -16
-8
8
16

Answers

Answer:

8

Those little "sticks" are called absolute value.

For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.

Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.

I hope it helps.

When it is the absolute of a negative number then the negative number then turns positive. Your answer would be 8

A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:185 guests

Step-by-step explanation: it can only hold 185 guests no more.

Please find the value of P. ​

Answers

Answer:

[tex]\huge\boxed{\sf p = 48\°}[/tex]

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Mandee invested $360 in a savings account earning 1.8%
interest compounded continuously for 2.5 years.

Answers

Answer:    The final balance is $412.03.

The total compound interest is $52.03.

Step-by-step explanation:

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