3x– 12 = 24 is equivalent to x- 4= 8
Which property of equality did I use to change 3x - 12 = 24?
Addition Property
Division Property
Subtract Property
Multiplication Property

Answer:

75 litres of Blue

Step-by-step explanation:

Divide the amount of yellow liters by 3, you'll get 15. To get the amount of blue needed, you multiply 5 by 15.

We can use the Ray tool to graph the absolute value function f(x) = 2|x+2| + 1, which helps us visualize the function by plotting specific points on the coordinate plane.

1. Begin by understanding the structure of the absolute value function f(x) = |x|. The absolute value function takes any input x and returns the positive value of x, making it symmetric concerning the y-axis.

2. In the given function f(x) = 2|x+2| + 1, the "2" in front of the absolute value affects the vertical scale, while the "+2" inside the absolute value causes a horizontal shift of 2 units to the left.

3. Start plotting points on the coordinate plane. To determine the behavior of the graph, consider a few x-values.

  - When x = -4, we have f(-4) = 2|-4+2| + 1 = 2| -2| + 1 = 2(2) + 1 = 4 + 1 = 5. So, we have the point (-4, 5).

  - When x = -2, we have f(-2) = 2|-2+2| + 1 = 2| 0| + 1 = 2(0) + 1 = 1. So, we have the point (-2, 1).

  - When x = -1, we have f(-1) = 2|-1+2| + 1 = 2| 1| + 1 = 2(1) + 1 = 3. So, we have the point (-1, 3).

  - When x = 0, we have f(0) = 2|0+2| + 1 = 2| 2| + 1 = 2(2) + 1 = 5. So, we have the point (0, 5).

  - Continue this process for other values of x to obtain more points.

4. Plot all the points on the graph and connect them smoothly. Remember to maintain symmetry concerning the y-axis due to the absolute value function.

5. The resulting graph will have a "V" shape, with the vertex at the point (-2, 1). The line will extend upward on both sides, following a steep slope with a vertical stretch of 2.

6. Label the axes and any other relevant points to complete the graph.

By following these steps and utilizing the Ray tool, you can accurately graph the given absolute value function f(x) = 2|x+2| + 1.

For more such questions on graph, click on:

https://brainly.com/question/19040584

#SPJ8

Answer:

The Second Step.

Step-by-step explanation:

We are given the original equation:

[tex]12(5+2y)=4y-(5-9y)[/tex]

In her first step, Clare distributed both sides:

[tex]72+24y=4y-5-9y[/tex]

There are two errors:

First, the product of 5 and 12 is 60 and not 72.

Second, on the right-hand side of the equation, the negative must be distributed to all terms. Hence, the correct result should be:

[tex]\displaystyle 60 + 24y = 4y - 5 + 9y[/tex]

Instead of what she had obtained.

Answer:

i think its b

Step-by-step explanation:

i hope its the right Answer

Answer:  A

Step-by-step explanation: Because since its a Parallel  line, it would be independent and it would be a inconsistent since we have no solutions and since we got no solutions, it would be a inconsistent. Hope it helps and is correct. :D

Answer:

3

Step-by-step explanation:

When 2 lines are parallel, they have the same slope. Since m║n, the slope of m will be equal to the slope of n.

The required slope of line n which is parallel to line m is 3. Option D is correct.

Given that,
If m ∥ n and the slope of line m is 3, what is the slope of line n is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The property of line state that, when lines are parallel to each the than the angle of inclination or slope of all the parallel lines are equal.
So, in given condition Line m is parallel to line n implies the slope of line m and n are equal.

Thus, the required slope of line n which is parallel to line m is 3.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Answer: 80

Step-by-step explanation:

100+80 =180

Answer:

The answer is 80° :)

Hope it helps you

Answer:

Step-by-step explanation:

statement-reason

DE=BC     - given

Angle 1= Angle 2 - given

Angle 2= Angle 3 - corresponding angles

Angle 1= Angle 4 - corresponding angles

Triangle ADE is congruent to Triangle ABC by AAS

therefore AB= AC

Q.E.D.

Answer:

altitude

Step-by-step explanation:

It cant be a perpendicular bisector because its not splitting the triangle into equal lengths.

Answer:

1. they are congruent

2. 180 degrees

Answer :

Option A) 84°

Step-by-step explanation:

Its an equilateral triangle ( since DE and EF = 5)

So they have the same angles as well ..

which means angle D = 48° and angle F = 48°

angle D + angle F + angle E = 180° (angle sum property)

48° + 48° + angle F = 180°

96° + angle F = 180°

angle F = 180° - 96°

= 84°

Answer:

84°

Step-by-step explanation:

It's an equilateral triangle (since DE and EF = 5)

And they have the same angles as well.

Which means the angles D=48° and angle F=48° angle D+ angle F+ angle E=180° (angle sum property) 48°+48°+ angle F=180°, 96°+ angle F=180° angle F=180°-96°=84°.

Note: I hoped this answer helped you!

Source:

The image is provided for proof.

Learn More:

https://brainly.com/question/21047391

Answer:

14

Step-by-step explanation:

f(x)=x^2+3x-5

f(3)=(3)^2+3(3)-5

f(3)=9+9-5

f(3)=14

Answer

F(3)=13

Step-by-step explanation:

Ans1wer: 10x^2

Step-by-step explanation:

10x^2+2x^2=12x^2 and -4y-y=-6y

Answer:

.5 = 5/9, .583 = 7/12, .3 = 1/3, and .36 =4/11

Step-by-step explanation:

Just divide the numerator by the denominator (4/9 = 4 divided by 9) and you will get the repeating decimal.

Please mark brainliest:)

Answer:

0.5. 5/9

0.583. 7/12

0.3. 1/3

0.36 4/11

Answer:

e4rf

Step-by-step explanation:

Answer:

J. -13-18

Step-by-step explanation:

J will give the value -31

Answer:

the answer is 0.18 because you just dived the 2.88 by 16 and you get your answer

Step-by-step explanation:

Answer:

(0, 3)

Step-by-step explanation:

Subtract 3 units from the X-coordinate

Add 4 units from the Y-coordinate

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

Answer:

160

Step-by-step explanation:

It is given that, the ratio of student tickets to adult tickets sold is 4:3. Let students tickets is 4x and adult tickets is 3x.

Total no of tickets = 280

ATQ,

4x+3x=280

7x = 280

x = 40

Students ticket = 4x

= 4(40)

= 160

So, 160 students ticket is sold by Kiona.

Answer:

Explanation below.

Step-by-step explanation:

Let's say for example you have 100 dollar or euros, or whatever you work with in your country. 30% of 100 equals 30.

If they ask you for example 30% of 250 dollar/euro, it is 250/100 * 30, which equals 75.

If they say there are sales that go up to 30%, all you do is as follows;

1) You calculate how much money 30% is. [Look above]

2) You distract the 30% FROM the original price.

Example; A shirt costs 300 dollar/euro, but there's a sale of 30% on it.

30% of 300 = 100

300-100 = 200

The shirt costs 200 dollar/euro.

9514 1404 393

Answer:

  (x, y) = (-2, -1) or (2, 1)

Step-by-step explanation:

Substitute for x in the first equation:

  (2y)^2 +3(2y)y = 10

  10y^2 = 10

  y^2 = 1

  y = ±1

  x = 2y = ±2

Solutions are (x, y) = (-2, -1) or (2, 1).

Answer: b

Step-by-step explanation: I took the test

Answer:

v = 3

Step-by-step explanation:

[tex]10 \sqrt{1 } \sqrt{2} [/tex]

i think it might be

. .. ... ....

or

. ..

Answer:

7

Step-by-step explanation:

Hope this helps. Pls give brainliest.

A BODMAS rule states that inter mathematical expressions should be solved in the order of BODMAS from left to right.

[tex]\to 64 \div (15 - 7) \times 2 - 9 \\\\\to \frac{64}{ (15 - 7)} \times 2 - 9\\\\\to \frac{64}{8} \times -7\\\\\to 8-7\\\\\to 1[/tex]

Therefore, the final answer is "1".

Find out more about the equation here:

brainly.com/question/10413253