Option B represents all of the possible values of x.
Answer:
the distance covered is 11.25 km
Step-by-step explanation:
Given that
The speed of the bicycle is 15 km/h
And, the time taken of the bicycle is 45 minutes
We need to determine the distance covered
As we know that
Speed = Distance ÷ Time
So, distance = Speed × time
= 15 km /h × 0.75 hours
= 11.25 km
The 0.75 hours come from
= 45 minutes ÷ 60 minutes
= 0.75 hours
Hence, the distance covered is 11.25 km
<h3>
The two solutions are: x = 0 and x = 1/2</h3>
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Work Shown:
10x^2 - 5x = 0
5x(2x - 1) = 0 .... factor out the GCF
5x = 0 or 2x-1 = 0 .... zero product property
x = 0/5 or 2x = 1
x = 0 or x = 1/2
Note: 1/2 = 0.5
We could use the quadratic formula here, or we could complete the square, but that's overkill in my opinion.
Answer:
the domain of the function = [0,12]
Step-by-step explanation:
Given that:
f(t) = 60 t - 5t²
at time t = 0
f(0) = 60 (0) - 5(0)²
f(0) = 0
the differential of f(t) is:
f(t)' = 60 - 10t
for the maximum height
f'(t) = 0
i,e
60 - 10t = 0
60 = 10t
t = 60/10
t = 6
Now, t = 6,
f(6) = 60(6) - 5(6)²
f(6) = 360 - 180
f(6) = 180
Hence, after 6 seconds, the stone is noticed to have raise to 180 m and 180 m drop after 6 seconds.
Hence, the domain of the function = [0,12]
I think that the answer is d
