Answer:
Step-by-step explanation:
is given as the nth term of a sequence.
We want to find 
, which means we find the 7th term of the sequence.
Here, we simply substitute "7" into "n" of the formula given for to find the value of the 7th term of the sequence.
We show this below:
So the 7th term is "-15"
Answer:
y=4sin[2(x-π/2)]-6
Step-by-step explanation:
/ means over for a fraction
hope i did this right
<span>f(x) = one eighth (x - 2)^2 - 1
Since a parabola is the curve such that all points on the curve have the same distance from the directrix as the distance from the point to the focus.With that in mind, we can quickly determine 3 points on the parabola. The 1st point will be midway between the focus and the directrix, So:
(2, (1 + -3)/2) = (2, -2/2) = (2,-1).
The other 2 points will have the same y-coordinate as the focus, but let offset on the x-axis by the distance from the focus to the directrix. Since the distance is (1 - -3) = 4, that means the other 2 points will be (2 - 4, 1) and (2 + 4, 1) which are (-2, 1) and (6, 1). The closest point to the focus will have the same x-coordinate as the focus, so the term will be (x-2)^2. This eliminates the functions "f(x) = -one eighth (x + 2)^2 - 1" and "f(x) = -one half (x + 2)^2 - 1" from consideration since their x term is incorrect, leaving only "f(x) = one eighth (x - 2)^2 - 1" and "f(x) = one half (x - 2)^2 + 1" as possible choices. Let's plug in the value 6 for x and see what y value we get from squaring (x-2)^2. So:
(x-2)^2
(6-2)^2 = 4^2 = 16
Now which option is equal to 1? Is it one eighth of 16 minus 1, or one half of 16 plus 1?
16/8 - 1 = 2 - 1 = 1
16/2 + 1 = 8 + 1 = 9
Therefore the answer is "f(x) = one eighth (x - 2)^2 - 1"</span>
X-4y=7 Answer:1/4
2x+y=5
2x+y=5 I am not sure but I’m pretty sure the answer is -2
<u />(x/6) + 42 + (2x/5) - (8x/3) - 19
Change the denominators (numbers below the fraction bar to a to a common number for the three numbers: 6, 5, and 3... in other words to a number that is divisible by all three numbers)
(5x/30) + (12x/30) - (80x/30) + 23
(-63x/30) + 23
<u>
</u><u />And the answer is.....
<u>
(-21x/10) + 23</u>
