the answer would be ...
f(x) = -5/2x + 4
We know this because the constant in this equation, 4, is the y-intercept!
This means that the number without the variable is <u>where the line intersects the y-axis. </u>
Additionally, the slope is called the "rise over run", but in this case it is negative. At the point, 4, on the y-axis,<u> we go down 5 units (the numerator of the slope) and to the right by 2 units (the denominator). </u>
We find ourselves at where the line intercepts the x-axis!
I hope my explanation isn't confusing and that it is helpful! If you have any questions or concerns, message me! :)
Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is 
.
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is .
Answer:
0.399
Step-by-step explanation:
The key to doing this problem properly lies in knowing and following order of operations rules.
Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.
(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:
(228-3) = 225
and
(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:
(570-6) = 564.
Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).
Hello,
If center is (0,0)
x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b
Here
a=2 ==> a²=4
b=8 ==> b²=64
