Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x =
=
= 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
= -
= 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
Answer: There is a linear relationship between the average price of PCs and the number of years that have passed since 2000.
Step-by-step explanation:
From the given graph, we can see there is a straight line , which shows that there is a linear relationship between both quantities.
As the number years increases the average price of PCs decreases.
The given equation of the line is
, which shows that the slope of the line is -39, i.e the rate of decrease in the average price of PCs with respect to the the number of years that have passed since 2000.
Answer:
29
Step-by-step explanation:
Since you have a total of 88, you subtract 59 from 88 which gives yoou 29.
Answer:6.25
Step-by-step explanation:
Let the height of the wall be h
Sin 74=h/6.5
h =6.5sin 74
h=6.25