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

A. calculator, but he could only see one line. Why is this?
B. because the system of equations actually has only one solution
C. because the system of equations actually has no solution
D. because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist

Answer:

y = 1/6x+2

Step-by-step explanation:

1/6=slope 2=y int. hope this kinda helps

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: Put both equation into desmos and the crossing point will be (2,3) and the graph will be there.

Step-by-step explanation: 5x-7 = -2x+7                   y = 5(2) - 7

                                             5x = -2x + 7 + 7.              y = 3

                                             5x = -2x + 14

                                             5x + 2x = 14

                                             7x = 14

                                             x = 2

Answer:

B

Step-by-step explanation:

The equation for B would be as; B = 3/G

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

Remember that Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have the given equation as

BG = 3

To solve for the B, we have to eliminate the G from its side;

Then;

B = 3/G

Therefore , the equation for B would be as; B = 3/G

Learn more about solving equations here:

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Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

Answer:

C) senior citizen ticket 10$, child ticket 11$

Step-by-step explanation:

Answer:

I think they both are linear

Answer:

6 5/16

Step-by-step explanation:

Hope this helped :)

There is a 10% increase

There are 6 more students this year than there were last year.

If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.

//

[tex]60 \times 0.10 = 6[/tex]

[tex]10\% \: of \: 60 \: is \: 6[/tex]

[tex]60 + 6 = 66[/tex]

Answer:

8 and half 8/2 8.5, wait or 7/5 or 7.5

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

Answer:

origin dilation if 5. is 5

6 hrs x 60 min = 360 min

1170/360=3.25 laps/min

50(30%) = 15

50 - 15 = 35

35 (6%) = 2.1

35 + 2.1 = $37.10

the total cost of his order is $37.10 !!

Answer:

first you have to look at one of the sides of the scaled copy. If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.

Step-by-step explanation:

Step-by-step explanation:

first of all we have to change kg into ton= 48500kg into ton =53.462ton(48500/907.168)

after that we add all the weight of 4 container = 28+45+16.8+53.462

total will be his total mass of tones he had =143.262

Answer:

5

Step-by-step explanation:

Answer:

Infinite solutions.

Step-by-step explanation:

Just plug your equation into desmos graphing calculator and it will graph it for you. If it is infinite the two lines will lay on top of one another. If there is only one solution it will be where the two lines intersect. If there are no solutions the two lines will be parallel.

Answer:

Second box

Step-by-step explanation:

Volume (of the box) = length * width * height

Volume of first box is: 4 * 7 * 8 = 224

Volume of second box is: 8 * 5 * 6 = 240

Since 224 < 240, the volume of the second box has the larger value.

Answer:

second choice

Step-by-step explanation:

Answer:

23.49 in.

Step-by-step explanation:

Formula for area of triangle: 1/2 * b * h

1/2 * 16.2 = 8.1

8.1 * 2.9 =23.49 in.

Answer:

ST =6.9

SR =15.9

Step-by-step explanation:

Answer:

9 per game.

Step-by-step explanation:

45y/5x

I'm not so sure what the equation would look like

Answer:

X=10

Step-by-step explanation:

3x=30

3(10)=30

30=30

30+42=72

I hope this helps!

Answer:

D. x=10; angle measure is 30°

Step-by-step explanation:

hope this helps

Answer:

Yes

Step-by-step explanation:

She had more than me

I would help her but she has less than me

Answer:

the  number of fluids ounces in 9 cups is 72 fluid ounces

Step-by-step explanation:

The computation of the number of fluids ounces in 9 cups is shown below:

As we know that

In 1 cup = 8 fluid ounces

So for 9 cup it is

= 9 × 8

= 72 fluid ounces

hence, the  number of fluids ounces in 9 cups is 72 fluid ounces

Answer:

[tex]s^2+11s+15[/tex]

Step-by-step explanation:

Let side length of pool=s

According to question

Length of rectangular deck , l=2s+5

Width of rectangular deck, b=3+s

We have to find the area of deck in terms of s.

We know that

Area of square=[tex](side)^2[/tex]

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of pool=[tex]s^2[/tex]

Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]

Now,

Area of rectangular deck

=[tex](2s+5)(3+s)-s^2[/tex]

[tex]=6s+2s^2+15+5s-s^2[/tex]

=[tex]s^2+11s+15[/tex]

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:

From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\[/tex]

From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:

[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6[/tex]

The cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 54 cents

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

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Answer:

6/12 but to simplify it would be 1/2

Answer:

[tex]\frac{2}{3} *\frac{3}{4}[/tex]       = 1/2

Step-by-step explanation:

2/3 * 3/4

6/12=1/2