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amm1812
3 years ago
5

1,2,4,7,11,16,22, ___,____ What is the rule?

Mathematics
2 answers:
Paha777 [63]3 years ago
6 0
Find rates of change until you find a constant.

dy/dx=1,2,3,4,5,6

d2y/dx2=1,1,1,1,1  

So the acceleration, d2y/d2x, is constant.  This means that this is a quadratic sequence of the form a(n)=an^2+bn+c.  So we can set up a system of equations to solve for the values of a,b, and c.  Using the first three points, (1,1), (2,2), and (3,4) we have:

9a+3b+c=4, 4a+2b+c=2, and a+b+c=1  getting the differences...

5a+b=2 and 3a+b=1  and getting this difference...

2a=1, so a=1/2 making 5a+b=2 become:

2.5+b=2, so b=-1/2, making a+b+c=1 become:

1/2-1/2+c=1, so c=1  so the rule is:

a(n)=0.5x^2-0.5x+1  or if you prefer to not have decimals

a(n)=(x^2-x+2)/2
Mkey [24]3 years ago
3 0
The rule is to add each number like this 1,2,3,4,5,6,7 and so on to add to the numbers
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Need help on this question please!
podryga [215]

Answer:

The answer is -46

6 0
3 years ago
Steve makes a banner with an area of 8 square feet. On a grid, draw all possible rectangles with an area of 8 square feet and si
Maksim231197 [3]

Answer:

The correct answers are with side lengths 1 feet and 8 feet, the perimeter is 18 feet; and with side lengths 2 feet and 4 feet, the perimeter is 12 feet.

Step-by-step explanation:

The area of a rectangular banner is 8 square feet.

The side lengths of this rectangular banner are whole numbers.

Thus the possible pairs of side lengths that would give 8 when multiplied with each other are (1 , 8) ; (2 , 4).

So the possible side lengths are 1 feet and 8 feet or 2 feet and 4 feet.

The perimeter when the side lengths are 1 feet and 8 feet are 18 feet.

The perimeter when the side lengths are 2 feet and 4 feet are 12 feet.

8 0
3 years ago
Read 2 more answers
If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were
gogolik [260]

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

4 0
3 years ago
How do you solve this? x - 2y = 4
valentina_108 [34]
If you want to solve for x, then
add 2y to both sides
x=2y+4
if want to solve for y
minus x both sides and divide by -2
x-2y=4
-2y=-x+4
y=1/2x-2
5 0
3 years ago
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Irina18 [472]

Answer:

x = 97.6

Step-by-step explanation:

cos = adjacent over hypotenuse

cos(55)=\frac{56}{x}

* multiply each side by x *

cos(55)*x=xcos(55)\\\frac{56}{x} *x=56\\56=xcos(55)

* divide each side by cos ( 55 ) *

\frac{xcos(55)}{cos(55)} =x\\\frac{56}{cos(55)} =97.63302055

we're left with x = 97.63302055

Our last step is to round to the nearest tenth of a foot

We get that x = 97.6

4 0
3 years ago
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