Answer:
2^n
Step-by-step explanation:
So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n
I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2
solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this:
<span><span><span>Find the unknown value in the proportion: </span><span>2 : x = 3 : 9.</span></span><span>2<span> :</span> x = 3<span> :</span> 9</span>First, I convert the colon-based odds-notation ratios to fractional form:.Then I solve the proportion:<span>
</span><span>9(2) = </span><span>x(3)</span> <span>
1</span><span>8 = 3x</span><span>
</span><span>6 = x</span></span><span><span><span>Find the unknown value in the proportion: </span><span>(2x + 1) : 2 = (x + 2) : 5</span></span><span>(2x + 1)<span> :</span> 2 = (x + 2)<span> :</span> 5</span><span><span> ADVERTISEMENT</span><span> </span></span>First, I convert the colon-based odds-notation ratios to fractional form:Then I solve the proportion:<span>
</span><span>5(2x + 1) = 2(x + 2)</span><span>
</span><span>10x + 5 = 2x + 4</span><span>
</span><span>8x = –1</span><span>
</span><span>x = –1/<span>8</span></span></span>
You can use y = {-1, x ≤ 0 and y = {x - 1, x > 0 as two functions for your piecewise function. The first function will be a horizontal line. The second function will be a straight line with a slope of 1 and y-intecept of -1. Messaged you the graph.
Answer: capitalized
Step-by-step explanation:
Answer:
<h2>x = 8</h2>
Step-by-step explanation:


