Answer:
Step-by-step explanation:
Definition : The expression that can have constants (like 4), variables (like x or y) and exponents (like the 2 in 
), that can be combined using addition, subtraction, multiplication and division, but no division by a variable and a variable's exponents can only be 0,1,2,3,... etc. and it can't have an infinite number of terms.
1. 6 + p
Being p be a variable this equation is polynomial
2. x – 1
Since x-1 has variable and constant so according to definition it is a polynomial
3. 8x−z3
According to definition it is a polynomial
4 .
Since has root so it is not a polynomial .
The answer to this problem is 4
Answer:
y = 5x + 3
Step-by-step explanation:
When x = 0 y = 3 so the y-intercept will be 3
And the equation is y = 5x + 3 where the slope is 5
Conjecture
is an educated guess based on known information. Reached by using inductive reasoning
Answer:
Length = 16 feet.
Width = 7 feet
Height = 8 feet
Volume = 896 cubic feet.
Step-by-step explanation:
There is a rectangular prism boiler room. 112 square feet is the floor area of the room.
Let the length of the room is L feet and width is W feet.
So, LW = 112 ...... (1)
Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get
(2 + 2W)W = 112
⇒ 2w + 2w² = 112
⇒ W² + W - 56 = 0
⇒ (W +8)(W - 7) = 0
⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}
Hence, from equation (2) we get L = 2W + 2 = 16 feet.
Now, 1 foot more than the width is the height H.
Hence, H = 7 + 1 = 8 feet.
Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)
