Answer: 3
Explanation:
It is useful to summarise the information in the form of a table with columns for distance, speed and time.
Remember if you know two of these, you can write an expression or answer for the third one.
s = d/t and t = d/s and d = s × t
We have that the speed on Monday was x miles per hour and the time, 1/2 an hour. We can find the distance as x × 1/2
Show this on the table and then complete it for Tuesday as well.
Distance Speed Time
−−−−−−−−−−−−−−−−−−−−−−−−
Monday 1/2 x x 1/2
Tuesday 1/2 x (x-2) 3/4
The speed on Tuesday can be given in two ways:
It is the same as on Monday (1/2 x) or as s × t
Form an equation: 3/4 (x-2) = 1/2 x
4 x 3/4 (x-2) = 4 x 1/2 x ← x 4
3 (x-2) = 2x
3x - 6 = 2x
x = 6 ← this was the speed on Monday.
The distance run on Monday was 1/2 x 6 = 3 miles
12<span>x2</span>−13x−<span>14 look it up on google to show you the graph
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Solve this problem using an equation of ratios:
85 pounds
-------------- = ?
1 year
I think you may have omitted some key info from this problem. You don't say how many hives are on this farm, for example.
Answer:
D. [0,4]
Step-by-step explanation:
We are provided with the graph of height of seesaw with respect to time.
The new graph is transformed from the function y = cosx,
It is required to find the range of the transformed function.
Now, as we know the range (i.e. the values where y varies) of cosx is [-1,1] and the new function is a transformed version of cosine function.
So, the values of y are varying from minimum value 0 to maximum value 4 in the given graph.
Hence, the range of the transformed function is [0,4].
