3 years ago

Zoom stuff for gamers and stuff

Mathematics

2 answers:

slamgirl [31]3 years ago

8 0

Coolio coolio i need points lolz

My name is Ann [436]3 years ago

4 0

Answer:

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Step-by-step explanation:

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Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

$6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)$

which is clearly divisible by 5. QED

5 0

2 years ago

If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2

Pie

Answer:

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

$= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}$

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3 years ago

PLEASE HELP ILL GIVE BRAINLIEST The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Lapatulllka [165]

Answer:

(-8,0) (-1,0) (4,0)

Step-by-step explanation:

Just look at where y=0

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3 years ago

A toy shop purchases 125 identical stuffed animals for a total cost of $312.50 and sells them for $7 each. What is the percent m

Andrew [12]

23% is maybe the percentage but if not then it maybe a little higher or lower

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4 years ago

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