Let's take a look at the <em>relationship</em> between x and y in this function. When we look at the first non-zero pair, (-1, 1), we can see that, in the transition from x to y, our x value was had to have been multiplied by -1. For now, we could tentatively say that y = -x. Unfortunately, the next pair, (-4, 2), debunks this hypothesis pretty quickly, as 2 ≠ -(-4). We'll need to reexamine the relationship between x and y here.
One patter that we can be fairly confident in is that multiplication by -1; the sign is flipped from negative to positive when we go from x to y in each case, so we can hold onto that component of the function. Something else is happening before that sign flip, though, and we'll need to look into that by seeing how else the numbers are connected.
Ignoring the negative signs for a moment, let's take a look at the pairs (1,1) and (4, 2). We can transform 1 to 1 pretty easily; we simply multiply or divide it by 1. From 4 to 2, we can either divide it by 2 or multiply it by 1/2. Let's thing in terms of division for now. We know that
1/1 = 1 (obviously)
4/2 = 2
We might have something here! It looks like the number we divide by and the number we obtain are the same, so let's explore this further. Multiplying both sides by those denominators, we find:
1 = 1²
4 = 2²
Almost there! To finally find the relationship, we just square root both sides to get:
√1 = 1
√4 = 2
So that was the function we'd been looking for - a square root! Putting that together with what we said about changing the sign at the beginning, we have:
y =√(-x)
To verify this, we just need to plug in a few pairs, and we find that indeed:
1 = √-(-1) = √1 = 1
2 = √-(-4) = √4 = 2
30 is the answer.
Hope it helps!
He founded and co-directed the Bay Area<span>-based ACCLAIM professional ... Find the </span>whole<span>, or </span>one<span> part, when a </span>whole<span> is divided into parts in a given ration. ..... If the pail he is using can hold </span>9<span> cubic </span>feet<span> of water, how many times will he need to empty ..... Using the scale of </span>1 inch equals<span> 200 miles, determine the point-to-point</span><span> ..
which will give you the answer of 20.</span>
U/72 = 2/4
means u/72 = 0.5
therefore u = 72*0.5
which equals 36
The equivalent value of the sum for any value of "x" is 12x - 6
<h3>How to find the sum of functions?</h3>
Given the sum of the expression as:
3
∑ k(2x-1)
k=0
We need to take the sum of the function at the point where k = 0 to 3
3
∑ k(2x-1) = 0(2x-1) + 1(2x - 1) + 2(2x-1) + 3(2x - 1)
k=0
3
∑ k(2x-1) = 2x-1+4x-2+6x-3
k=0
3
∑ k(2x-1) = 12x - 6
k=0
Hence the equivalent value of the sum for any value of "x" is 12x - 6
Learn more on sum functions here: brainly.com/question/24295771
