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3 years ago

A list of numbers is given 32,16,8,4,2,1 Write a rule for the pattern

Mathematics

2 answers:

lara31 [8.8K]3 years ago

6 0

16 is half of 32
8 is half of 16
4 is half of 8
2 is half of 4
1 is half of 2
1 is half of 0 (1 + 0 = 1)

Sphinxa [80]3 years ago

5 0

It is subtracting the current number by 1/2 OR you can divide by 2. each time.

32 / 2= 16
16 / 2=8
8/2=4
4/2=2
2/2=1

Hope this helped!

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What is 24+36 using distributtive property

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2 years ago

Suppose that y varies directly with x and y=10 when x=20. What is y when x=15

Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

10=k20

k=10/20

k=1/2

therefore relationship: y=1/2x

subst x=15 into the relationship

y=1/2(15)

y=7,5

Step by step explanation:

Step 1: when they say y varies directly with x they mean y is proportional to x
step 2: so y=kx where k is the constant
step 3: is to substitute y=10 and x=20 into the above equation y=kx
step 4: you will end up with 10=k20 then divide both sides by 20 so that k becomes the subject of the formula 
step 5: your answer from the above will be k=10/20 so the relationship is y is directly proportional to 1/2 x what you did here is that you substituted k for 1/2 in the equation in step 3
step 6: is to finally substitute x=15 into the equation y=1/2x to finally get your answer y=7,5.

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3 years ago

Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

UNO [17]

Answer:

$\large\boxed{y+5=\dfrac{2}{3}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

$y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}$

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

$y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)$

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2 years ago

!!!!PLEASE HELP!!!!!2 QUESTION

anygoal [31]

So according to the picture you sent the first part is 2(x-8) (x+6)=0 so it’s the first answer. The second part the answer is (8;0) and (-6;0) the last answer in the second frame.
The reason the answer is those is because it’s using coordinates (x;y) and since we were solving for x we got the x coordinates. But since we got the x coordinates our y coordinates will be 0. If the answer was y=8 than out coordinates would be (0;8). Hope this makes sense

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3 years ago