Answer:
n = 3.666 or (3 and 2/3)
Step-by-step explanation:
4.5n + 2.5 = 19
4.5n = 19 - 2.5
4.5n = 16.5
n = 16.5 / 4.5
n = 3.666 or (3 and 2/3)
To find the vertex of a quadratic function, you need to 'complete the square';
Completing the square gives a quadratic in another form;
For quadratics that have an x² coefficient of 1 as is the case, it is a simple matter to complete the square:
For the quadratic x² + bx + c
Simply, put x added to half the coefficient of the x term (b/2) in a bracket and square the bracket;
Then add the constant (c) and the square of the half the coefficient of the x term (b/2), so:
(x + d)² + e, where d is a (rational) number to be identified;
d = b/2
e = d² + c
So, for f(x) = x² + 0x + 3:
Then the completed-the-square form is: f(x) = (x + 0)² + 3
As it happens, this quadratic function has a common normal form and completed-the-square form because the x-coefficient is 0.
The vertex coordinates are, according to the general format given above:
(-d, e).
So, looking at completed-the-square form for the function in question, we can tell the vertex is at the coordinates: (0, 3)
Quadratic functions always have symmetry about the vertical line with the x-coordinate of the vertex;
This makes sense if you think about how the graph looks (u-shaped);
Therefore for our function, the vertex is:
x = 0 (a vertical line with the x-coordinate of the vertex).
Answer:
do you know what the number for c is?
Answer:
50% offspring will be RR
Step-by-step explanation:
I set up my table and solved it I can teach you if you would like
Answer:
128cm²
Step-by-step explanation:
<em>To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides. </em>
Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)
= 128cm²
