You can use a number line to add and subtract
Answer:
Mean age = 1271.27
Step-by-step explanation:
No of children = 77
The age at which children first began to combine words = 16.51 months
Mean age = No of children × age at which children first began to combine words
= 77 × 16.51
= 1271.27
Mean age = 1271.27
Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
- (h, k) is the vertex
- a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:
![\implies -1=a(2-1)^2-3](https://tex.z-dn.net/?f=%5Cimplies%20-1%3Da%282-1%29%5E2-3)
![\implies -1=a-3](https://tex.z-dn.net/?f=%5Cimplies%20-1%3Da-3)
![\implies a=2](https://tex.z-dn.net/?f=%5Cimplies%20a%3D2)
<u>Part 4</u>
Equation for the given parabola in vertex form:
![x=2(y-1)^2-3](https://tex.z-dn.net/?f=x%3D2%28y-1%29%5E2-3)
Equation in standard form:
![x=2y^2-4y-1](https://tex.z-dn.net/?f=x%3D2y%5E2-4y-1)