Answer:
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
"y varies inversely with x" means:
y = k / x
where k is a constant.
When x = 5, y = 10.
10 = k / 5
k = 50
y = 50 / x
When x = 2:
y = 50 / 2
y = 25
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
Answer:
y = -2x + 3 is the required equation
Step-by-step explanation:
From the graph we will get two ordered pairs
If we see that When x=0 then y=3 and when x = 1 then y=1
Now from this we can find the slope of the Graph
So slope of graph = (y2 - y1) / (x2-x1)
=(1-3) / (1-0)
=-2
So
Slope = m = -2
Now the equation is
y = mx + b
We have to find the value of b
as we have two ordered pairs we can take any of it to find the value of b because line passes through those points
taking (0,3) as a point
y= mx + b
put values
3 = -2*(0) + b
so
b=3
Now the equation of the line in this form is
y = mx + b
which is
y = -2x + 3
