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2 years ago

What is the next number in the sequence 0,2,6,12

Mathematics

2 answers:

tangare [24]2 years ago

8 0

The series goes something like this

0 + 0 = 0

0 + 2 = 2

2 + 4 = 6

6 + 6 = 12

12 + 8 = 20

20 + 10 = 30

30 + 12 = 42

42 + 14 = 56

56 + 16 = 72

72 + 18 = 90

90 + 20 = 110 and so on.

pashok25 [27]2 years ago

7 0

Answer:

Step-by-step explanation:

We are adding 2

0+2 =2

Then 4

2+4 = 6

Then 6

6+6=12

Then we would add 8

12+8 = 20

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in a proportional relationship the ratio y/x is constant. Show that this ratio is not constant for the equation y=a-14

Colt1911 [192]

To show that the ratio $\frac{y}{x}$ is not constant for the function $y=a-14$ we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here $a$ represents $x$ .

To find the counter examples here, I will use the values $a=20$ and $a=28$ . For $a = 20$ , the equation tells us that the output is

$y=20-14=6$ . For this value of $a$ the point is point is $(20,6)$ . The ratio $\frac{y}{x} =\frac{6}{20}$ . For the $a=28$ , $y=28-14=14$ . For this value of $a$ the point is $(28,14)$ . The ratio $\frac{y}{x} =\frac{14}{28} =\frac{1}{2}$ . Clearly this ratio is not constant for all ordered pairs.

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2 years ago

What are the solutions of the equation f(x) = g(x), given the following:

emmainna [20.7K]

F(x) = g(x) for x = 1 and x = 3. Verify that for yourself.

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3 years ago

1. Find the derivative of f(x), at x = 10<br> f(x) = - 5x² + 13x

Serhud [2]

Answer:

-10x+13

Step-by-step explanation:

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2 years ago

Solve the system using substitution. Show all work. (3 points)<br> y=-2x+6<br> 3y-x+3=0

svp [43]

Y = -2x + 6....so we sub in -2x + 6 for y in the other equation

3y - x + 3 = 0
3(-2x + 6) - x + 3 = 0
-6x + 18 - x + 3 = 0
-7x + 21 = 0
-7x = -21
x = -21/-7
x = 3

now we sub 3 in for x in either of the original equations to find y.
y = -2x + 6
y = -2(3) + 6
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so ur solution is : (3,0)

8 0

3 years ago

Read 2 more answers

The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the fol

azamat

Hey there! I'm happy to help!

When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.

We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/

(x,y)⇒(-y,x)

(1,2)⇒(-2,1)

Therefore, the coordinates of the point P' are (-2,1).

Have a wonderful day! :D

4 0

3 years ago