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Thepotemich [5.8K]
2 years ago
9

Find the y-intercept of the graph.

Mathematics
1 answer:
natka813 [3]2 years ago
5 0

Answer:

qgg

Step-by-step explanation:

grrqg

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Let n be a natural number. Show that 3 | n3 −n
Vladimir [108]
Let n=1. Then n^3-n=1^3-1=0. By convention, every non-zero integer n divides 0, so 3\vert n^3-n.

Suppose this relation holds for n=k, i.e. 3\vert k^3-k. We then hope to show it must also hold for n=k+1.

You have

(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)

We assumed that 3\vert k^3-k, and it's clear that 3\vert 3(k^2+k) because 3(k^2+k) is a multiple of 3. This means the remainder upon divides (k+1)^3-(k+1) must be 0, and therefore the relation holds for n=k+1. This proves the statement.
4 0
3 years ago
What is the slope intercept for a line that passes through (-3,9)
kenny6666 [7]

Answer:

;-;

Step-by-step explanation: lol

4 0
3 years ago
How do you get the answer? <br> Show your work. Please!
katen-ka-za [31]
Okie, hope you a new year!

4 0
3 years ago
the function f(t) = 5 cos(pi/4*t) + 11 represents the tide in dark sea. it has a maximum of 16 feet when time (t) is 0 and a min
Allushta [10]

The height of the tide after eight hours is 16 feet.

<h3>How to illustrate the function?</h3>

From the information given, the function is given as 5cos (π/4)t + 11.

In this case, the time is given as eight hours. This will be:

f(8) = 5 × cos (π/4) × 8 + 11

f(8) = 5 × cos(2π) + 11

= (5 × 0.999) + 11

= 16 feet

The height is 16 feet.

Learn more about functions on:

brainly.com/question/5957029

#SPJ1

6 0
2 years ago
Help ASAP
riadik2000 [5.3K]
D=RT
313.5=R4
divide by four
313.5/4=78.375
Therefore the answer is B
8 0
3 years ago
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