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spayn [35]
3 years ago
8

Need Help with this question

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0

Answer:

Step-by-step explanation:

xf=x-6

f somehow equals minus six, so if we do x-x, we find that f =-6

x=0,y=0;x=1,y=-6;x=2,y=-12

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<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2B1%3D3%5C%5C" id="TexFormula1" title="\sqrt{x} +1=3\\" alt="\sqrt{x} +1=3\\
Eduardwww [97]

Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

4 0
3 years ago
Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(​
vladimir2022 [97]

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.

For n+1:

(n+1)(n+2)(n+3)=

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.

6 0
3 years ago
Pair of fair dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.)
gulaghasi [49]

we are given with two dice and that we are asked in the problem to find the probability of the following:
a. sum at least 4b. sum at least 6
THe sample space of this problem is 
{11, 12, 13, 14, 15, 16, 21,22, 23,24,25,26,31,32,33,34,35,36,41,42,43,44,45,46,51,52,53,54,55,56,61,62,63,64,65,66} a total of 36.a. 33/36 = 11/12b.11/36
8 0
3 years ago
Join all the vertices of a regular nonagon to its center. How many identical triangles are formed?
finlep [7]

Answer:

9

Step-by-step explanation:

3 0
2 years ago
Vertex of parabola (x-7)^2+5
UNO [17]

Answer:

(7,5)

Step-by-step explanation:

You can use the desmos website for math problems like this.

4 0
3 years ago
Read 2 more answers
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