Solution:
We know, g(x) = f(x) + k --------(1)
It is given that f(x) = (x+2)
and g(x) = (x+5)
Substituting f(x) and g(x) into equation (1):
→ (x+5) =
(x+2) + k
→ = k
→ k =
Thus, the value of k is 1.
You are given a rectangular sheet of cardboard that measures 11 in. by 8.5 in. (see the diagram below). A small square of the sa
me size is cut from each corner, and each side folded up along the cuts to from a box with no lid.
1. Anya thinks the cut should be 1.5 inches to create the greatest volume, while Terrence thinks it should be 3 inches.
Explain how both students can determine the formula for the volume of the box.
Determine which student's suggestion would create the larger volume.
Explain how there can be two different volumes when each student starts with the same size cardboard.
2. Why is the value of x limited to 0 in. < x < 4.25 in.?
1. Anya thinks the cut should be 1.5 inches to create the greatest volume, while Terrence thinks it should be 3 inches.
Explain how both students can determine the formula for the volume of the box.
Determine which student's suggestion would create the larger volume.
Explain how there can be two different volumes when each student starts with the same size cardboard.
2. Why is the value of x limited to 0 in. < x < 4.25 in.?
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Answer:
13 Millilitres.
Step-by-step explanation:
Yoku applies 2ml to cover of his skin.
He seeks to find out how many millilitres he needs to cover of his body.
With 2ml, Yoku covers of his skin
He will use of sunscreen for covering
of his skin.
Thus:
For covering of his body, he will require:
he would need 13 Millilitres.
Answer:
A) The total duration needed to paint the room is 50 minutes.
B) To paint 64% of the room takes 32 minutes.
Step-by-step explanation:
Given as:
After 18 minutes, 64% of the room still requires painting.
Therefore, within 18 minutes, (100% - 64% = 36%) of the room has been painted
Let T minutes be the total time required to paint the entire room.
Now, according to the question
A ) Using the unitary method
∵ In total, 36% of the room is covered in 18 minutes
Thus, in total time ofi.e T =
Thus, T = 50 min
Therefore, the duration needed to paint the entire room = T = 50 minutes
Thus, the time required to finish painting the entire room is 50 minutes. Answer
B) Again
Time taken to paint 64% of the room = x minutes
∵ 36% of the room has been painted in a total of 18 minutes
Thus, 1% of the entire room gets painted in minutes
Consequently, painting 64% of the room will take × 64 minutes
i.e x =
Thus, x = 32 min
Therefore, the required time for painting 64% of the entire room = x = 32 minutes
Thus, the time required to paint 64% of the room amounts to 32 minutes. Answer