Answer:
Seasonal allergies
Step-by-step explanation:
She migtht have seaonal allergies
<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>
It’s hard to do the math when you don’t show the answer options silly.
Answer:
11
Step-by-step explanation:
- 9+3(8-3(7-5))-4
- 9+3(8-3(2))-4
- 9+3(8-6)-4
- 9+3(2)-4
- 9+6-4
- 15-4
- 11
I first delt with simplifying the parentheses till step five. Then in five I just added 9+6 because it came before the -4. But PEMDAS is very important when doing these problems because it tell you the order
- P (parentheses)
- E (exponents)
- M (multiply)
- D (divide)
- A (add)
- S (subtract)
- **the biggest thing is that with multipe and divide it depends what comes first. If you see divide before multipe in the problem just do it that way. It is the same way with add and subtract but The multiple/divide group ALWAYS comes BEFORE add/subtract
