Determine whether the function is one-to-one.
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function
Have a look at the attached graph.
Therefore, we conclude that the function is one-to-one.
The number of pieces that the cable is cut is 28.
Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Total length of the wire = 35 meters
Length of each cut piece = 1.25 meters
Number of pieces can be found by dividing the total length of the wire by the length of each piece.
Number of pieces of wire = 35 / 1.25 = 28
Hence the number of pieces of cable is 28.
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Answer:
40%
Step-by-step explanation:
Finley's pumpkin had a mass of 6.5 kg before he carved it.
After carving it, the pumpkin had a mass of 3.9 kg.
Now, we are asked to determine the % decrease in the mass of the pumpkin.
Therefore, the % decrease in mass is given by
%. (Answer)
Answer:
36
Step-by-step explanation:
Carson had x number of apples to start with.
He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.
He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.
On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.
(3/4) * (1/3)x = 9
3/12 x = 9
1/4 x = 9
x = 36
Answer: He picked 36 apples.
Check:
Start with 36 apples.
Give 1/3 to Nathan. Now Carson has 24 apples.
Give 1/2 to Nikki. Now Carson has 12 apples.
Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.
Hew only had 9 apples left, so 36 is correct.
Answer:
36 apples
Step-by-step explanation
Step 1 = he dropped 1/4 and was left with 9
Finding 1/3 one third of 9 = 3.
Then 9 +3 = 12
Step 2 He parted with 1/2 and was left with 12
12x2=24
Step 3 He parted with 1/3 and was left with 24
= 12+ 12 + 12 = 36 Where 1/3 of 36 = 24
Answer = 36