Li is making beaded necklaces. for each necklace, she uses 25 spacers, plus 9 beads per inch of necklace length. write an equati
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It had taken a while for me to understand the problem. From what I understood, the given pairs of points are tabulated below:
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.
x f(x)
-7 -11
-1 1
3 9
4 11
7 17
Then, the choices are equations in terms of x. The correct equation should yield the pairs tabulated above when the x-values are substituted into the equation. So, the solution is basically just substituting x to each of those equations, then you get the corresponding y values. Check which of those question has pairs similar to the given. I suggest that you tabulate the numbers so that it would be easier for you. For me, I used MS Excel as shown in the picture. Th x-values are in the first column gathered from the given. I applied the equations to get the f(x) values. As you can see, the pairs matched with the third column. Therefore, the answer is: f(x) = 2x+3.
To solve this equation , we need to write it in quadratic form
To get the equation in quadratic form we replace x^2 with u
can be written as
, Replace u for x^2
So equation becomes
Now we factor the left hand side
-16 and -1 are the two factors whose product is +16 and sum is -17
(u-16) (u-1) = 0
u -16 = 0 so u=16
u-1 =0 so u=1
WE assume u = x^2, Now we replace u with x^2
Now take square root on both sides , x= +4 and x=-4
Now take square root on both sides , x= +1 and x=-1
So zeros of the function are -4, -1, 1, 4