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RUDIKE [14]
2 years ago
15

Quick algebra 1 question for 10 points!

Mathematics
1 answer:
trasher [3.6K]2 years ago
7 0

m = m \\  \frac{97 - 68}{2 - 1}  =  \frac{134 - 97}{3 - 2}  \\ 29 = 37 \\ this \: function \: is \: non \: linear

<h3>Since the only two other options are quadratic and given that it must satisfy one of them i will assume the following general form of the function.</h3>

f(1) = 68 \:  \:  \: f(2) = 97 \:  \:  \:  \: f(3) = 134 \\ f(x) = ax {}^{2}  + bx + c

<h3>Substitute in the first function any point.</h3>

f(1) = 68 \\ 7.8(1) {}^{2}   - 2.9(1) + 67.1 = 68 \\ 7.8 - 2.9 + 67.1 = 68 \\ 72 = 68 \\ this \: is \: false

<h3>I'm pretty sure something is wrong with the given</h3>
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.​
Leni [432]

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

S_{(n)} =  3·4ⁿ + 51

S_{(n+1)} = 3·4ⁿ⁺¹ + 51

S_{(n+1)} - S_{(n)} = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

S_{(n+1)} - S_{(n)} = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

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Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  S_{(n+1)} - S_{(n)} is divisible by 9, we have;

S_{(0+1)} - S_{(0)} =  S_{(1)} - S_{(0)} is divisible by 9

Therefore S_{(1)} is divisible by 9 and S_{(n)}  is divisible by 9 for all positive integers n

Step-by-step explanation:

5 0
3 years ago
How to simplify 2mg x 5m²k​
Damm [24]

hey, I'm not sure about this answer, but I think it's true, sorry

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3 years ago
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grigory [225]

Answer:

B. 224

Step-by-step explanation: 42/60 means that 70 % of people ride the school bus. So 70 percent of 320 is 224. Hope this helps

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3 years ago
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