Answer:
y = 300
Step-by-step explanation:
The equation of variation in which y varies directly as x is written Mathematically as:
y ∝ x
y = k × x
y = kx
Where k = Proportionality Constant
We find k
a) y = 60 when x = 0.4.
60 = 0.4 × k
k = 60/0.4
k = 150
b) find the value of y when x = 2
y = kx
k = 150
Hence,
y = 150 × 2
y = 300
25- 20x + 4x^2
=4x^2 - 20x + 25
=4x^2 - x(10+10) +25
=4x^2 - 10x - 10x + 25
=2x(2x - 5) - 5( 2x - 5)
=(2x - 5)(2x - 5)
=(2x - 5)^2
Answer:
Step-by-step explanation:
This situation can be considered as a piecewise function. First, you take xo as the time in which the drone goes upward. Before this time the height of the drone is constant with a value of 5 m. Next, you take into account that during 1.9 s after xo the drone accelerates. Finally, the drone flies again with a constant height of 5.9m. Hence, this function has three parts:
For the first part you have:
y = 5 for x < xo
For the second part you first calculate vertical speed (which means the slope of the linear function) by using the following kinematic equation:
Then you have:
y = 0.47x for xo < x < xo + 1.9s
And for the third part:
y = 5.9 for x > xo + 1.9s
Summarizing you obtain:
135 /43 = 3.14
60 * 3.14 = 188.4 minutes
Answer:
2
Step-by-step explanation:
g(x) = 1/2x - 1
g(6= 1/2*6-1= 3-1= 2