Answer:
Option b is correct.
Linear function ;
y =2x
Step-by-step explanation:
The formula y=f(x)=mx +c ......[1] is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.
Consider any points from the table;
(1, 2) and (2, 4)
substitute these point in [1] we get;
for (1, 2)
⇒x = 1 and f(x) = 2 we have
2 = m + c
or
c = 2- m ......[1]
for (2, 4) we have;
4 = 2m + c .....[2]
Now, substitute equation [1] into [2] we get;
4 = 2m + 2 -m
Combine like terms;
4 = m + 2
Subtract 2 from both sides we get;
4 -2 = m +2 -2
Simplify:
2 = m or
m = 2
Substitute the value of m = 2 in [1] to solve for c;
c = 2 -2 = 0
c =0
⇒ y = 2x +0
y = 2x
therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x
Answer:
Step-by-step explanation:
A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%
The slope formula is given by
m = 8% = 8/100
run = y = 2km
Verification:
%
Just transpose the 5 to the right side of 18 so it will look like this, /x/ = 18 - 5
Then get the difference and it would be 13. So to check this out if it is correct, substitute x for the value of 13 and it will look like this.
13 + 5 = 18
I hope my answer helped you.
The formula for the vertical height, h, attained with a vertical take off speed of u is
u² - 2gh = 0
where
g = 9.8 m/s², acceleration due to gravity.
Because h = 1.29 m, therefore
u² = 2*9.8*1.39 = 27.244
u = 5.2196 m/s
Also, the time of flight, t, required when the vertical take-off speed is u is given by
ut - 0.5gt² = 0.
Therefore
5.2196t - 0.5*9.8*t² = 0
5.2196t - 4.9t² = 0
t(5.2196 - 4.9t) = 0
t = 0, or t = 5.2196/4.9 = 1.0652 s
t = 0 corresponds to take-off.
t = 1.0652 s corresponds to landing.
The hang time is 1.0652 s.
Answer:
Take-off speed = 5.22 m/s (nearest hundredth)
Hang time = 1.065 s (nearest thousandth)
21.7 so you would probably round down too 21 because you can't have 0.7 of a person
