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Leviafan [203]
2 years ago
11

Can someone help me?!

Mathematics
1 answer:
ser-zykov [4K]2 years ago
6 0

Answer:

5 3/4 + 2 1/4  =y

Step-by-step explanation:

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Write the equation of the line in Point-Slope Form with a slope of 2/3 and
baherus [9]

Answer:

y=2/3+4

Step-by-step explanation:

the formula is y=mx+b. b is 4 and m is your slope.

3 0
2 years ago
Read 2 more answers
(-3/4m)-(1/2)=2+(1/4,)
Aleks [24]
(-3/4m) -(1/2)=2+(1/4m)
-(1/2)=2+m
m= -3/2
5 0
3 years ago
Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.
frutty [35]
<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

2^n\leq 2^{n+1}-2^{n-1}-1

where n is a positive integer.

  • Let us take n=1

then we have:

2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2

Hence, the result is true for n=1.

  • Let us assume that the result is true for n=k

i.e.

2^k\leq 2^{k+1}-2^{k-1}-1

  • Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u>  2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1

Let us take n=k+1

Hence, we have:

2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)

( Since, the result was true for n=k )

Hence, we have:

2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2

Also, we know that:

-2

(

Since, for n=k+1 being a positive integer we have:

2^{(k+1)+1}-2^{(k+1)-1}>0  )

Hence, we have finally,

2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

2^n\leq 2^{n+1}-2^{n-1}-1  where n is a positive integer.

6 0
3 years ago
Write a numerical expression for the verbal expression. the difference of six and two divided by four
Ilia_Sergeevich [38]

Answer:

(6-2)/4

Step-by-step explanation:

Make sure you have the parenthesis

6 0
3 years ago
What is the length of the line segment between A(–5, 8) and B(7, 8)? (1 point) • 2 units • 3 units • 12 units • 13 units
salantis [7]
The y-coordinates are the same, so the length of this horizontal line segment is the difference between the x-coordinates.

Length = 7 - (-5) = 12 units
6 0
3 years ago
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