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zzz [600]
2 years ago
10

Create a pattern with the rule n x 2 + 1

Mathematics
1 answer:
vlada-n [284]2 years ago
5 0
To create this pattern, you can start with the number zero and apply this math.  0 x 2 +1 = 1.  The next number would be found by taking 1 x 2 + 1=3.  After that 3 x 2 + 1 = 7.  The next number in the pattern would be found by taking 7 x 2 +1.  Essentially, you are just taking the answer you just got and doubling it and then adding 1.  Here is the pattern that would be created beginning with 0.  0, 1, 3, 7, 15, 31, 63, etc...
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The figure below shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is tru
zzz [600]
Here is something to keep in mind. 
when there is a downward slope, the slope will ALWAYS have a negative slope. even if it is above the x-axis. negative slopes will tend to go from positive y-axis to negative y-axis 
so personally would have to go with -4
because the x-axis is by 4 each time. and this slope is going downward. 

your answer will be D

6 0
2 years ago
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Find all the zeros of the equation 12x^2-64=-x^4
Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we  have given that

12x^2-64=-x^4\\\\x^4+12x^2-64=0

We need to find the zeroes of the above equation.

So, we will use  "Split the middle terms" :

x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

7 0
2 years ago
Suppose c and d vary inversely, and d = 2 when c = 17.
balu736 [363]

Answer:

c = 34/d

d = 1/2

Step-by-step explanation:

Part A

Basic Formula

c = k/d

17 = k/2         Multiply both sides by 2

17*2 = k*2/2     Combine

34 = k

So the equation is c = 34/d

Part B

c = 68

k = 34

d = ?

68 = 34/d               Multiply both sides by d

68*d = 34 * d/d      Simplify.

68 d = 34                Divide by 68

d = 34/68                Simplify

d = 1/2

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2 years ago
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