Step-by-step explanation:
First
since its follow the pattern Intercept Max... Intercept Min...
Its a positive sine graph
Asin(B(x-0))<0.25
A=1
B=2π/period
period From the graph = 2π
B=2π/2π
B=1
Sin(x)<0.25
I'd go with C.
Answer:
C) d - 17 = 22
Step-by-step explanation:
selling 17 means she had 17 less than what she brought
d - 17 = 22 means: 22 is 17 less than what she brought
Explanation:
using the parabola formula:
y = a(x-h)² + k²
vertex = (h, k)
We are given a parebola equation of: y = x²+9
comparing both equations to get the vertex:
y = y
a = 1
(x-h)² = x²
x² = (x + 0)²
(x-h)² = (x + 0)²
h = 0
+k = +9
k = 9
The vertex of the parabola as (x, y): (0, 9)
Answer:
The student is expected to spend <em>15.4 hours </em>doing homework
Step-by-step explanation:
The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below
To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)
The equation of a line, given two points (a,b) and (c,d) is

Using the selected points

Simplifying and computing results, the equation is

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV
=15.4 hours
So the student is expected to spend 15.4 hours doing homework
Gradient:3
Y intercept:(0,2)