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lana [24]
2 years ago
12

Write the equation of the line with slope =7 and y- intercept= -1​

Mathematics
1 answer:
Aliun [14]2 years ago
4 0

Answer:

y = 7x - 1 is the answer to the question

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Given that 'n' is any natural numbers greater than or equal 2. Prove the following Inequality with Mathematical Induction
Oliga [24]

The base case is the claim that

\dfrac11 + \dfrac12 > \dfrac{2\cdot2}{2+1}

which reduces to

\dfrac32 > \dfrac43 \implies \dfrac46 > \dfrac86

which is true.

Assume that the inequality holds for <em>n</em> = <em>k </em>; that

\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k > \dfrac{2k}{k+1}

We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that

\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k + \dfrac1{k+1} > \dfrac{2(k+1)}{k+2}

By the induction hypothesis,

\dfrac11 + \dfrac12 + \dfrac13 + \cdots + \dfrac1k + \dfrac1{k+1} > \dfrac{2k}{k+1} + \dfrac1{k+1} = \dfrac{2k+1}{k+1}

Now compare this to the upper bound we seek:

\dfrac{2k+1}{k+1}  > \dfrac{2k+2}{k+2}

because

(2k+1)(k+2) > (2k+2)(k+1)

in turn because

2k^2 + 5k + 2 > 2k^2 + 4k + 2 \iff k > 0

6 0
2 years ago
Read 2 more answers
Evaluate. 7^2 - 3 + 9 × 8 ÷ 2<br><br> w =
julia-pushkina [17]
7^2 - 3 + 9 x 8 / 2
49 - 3 + 9 x 8 / 2
49 - 3 + 72/2
49 - 3 + 36
46 + 36
82

w = 82
3 0
3 years ago
Read 2 more answers
Helppp I’ll make u a brainlister
fenix001 [56]

Answer:

108 deg

Step-by-step explanation:

Since sides DB and CD are congruent, then opposite angles are congruent.

m<C = m<B = 36

m<B + m<C + m<D = 180

36 + 36 + m<D = 180

m<D = 108

7 0
3 years ago
Solve the equation.<br><br> $2v+7=3$<br><br> $v=$
stepan [7]
If your equation is 2v + 7 = 3,

Subtract 7 from both sides to get 2v = -4

Then divide 2 on both sides and get v = -4/2

Then simplify to get v = $-2
6 0
2 years ago
If I put 4736 marbles into groups of 100, how many groups would I have? Show how you figured it out.
NNADVOKAT [17]
Divide to find out

4736/100 = 47.36

Therefore, we have  to round, and then we get 47. 

Answer: 47 groups and a remainder of 36. 
8 0
2 years ago
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