Answer:
y = 
Step-by-step explanation:
given y varies as the square of x then the equation relating them is
y = kx² ← k is the constant of variation
to find k use the given condition y = 25 when x = 3
k = 
= 
⇒ y = x²
when x = 2
y = × 4 =
56.70 because 35%of $42 is 14.70 and if you add those two together you get 56.70
1 + 2^1 = 3
3 + 2^2 = 7
7 + 2^3 = 15
15 + 2^4 = 31
31 + 2^5 = 63
63 + 2^6 = 127
so the next two terms in the sequence 1, 3, 7, 15, 31, is 63 and 127.
Answer:
21 minutes
Step-by-step explanation:
To cut a 5-ft log into 5 equal peices, you need to make 4 cuts (each cut cuts one piece from a whole log, the last cut divides the remaining log into two pieces).
If it takes 
minutes to make one cut, then it takes
minutes to cut the log into 5 equal pieces.
Answer:
3p³ + 2p² – 3p – 11
Step-by-step explanation:
From the question given above, the following data were obtained:
Side 1 (S₁) = –1(p + 5)
Side 2 (S₂) = 2(p² – 3)
Side 3 (S₃) = 3p³ – 2p
Perimeter (P) =?
The perimeter of the triangle can be obtained as follow
P = S₁ + S₂ + S₃
P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p
Clear bracket
P = –p – 5 + 2p² – 6 + 3p³ – 2p
Rearrange
P = 3p³ + 2p² – 2p – p – 6 – 5
P = 3p³ + 2p² – 3p – 11
Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11
