X^4+ 3x^3+4x^2-8 | x+2 = x^3+x^2+2x-4
-x^4-2x^3
-----------------------
x^3+4x^2-8
-x^3-2x^2
-------------------------
2x^2-8
-2x^2-4x
--------------
-4x-8
4x+8
----------------------------
/ /
is a factor because (x+2)(x^3+x^2+2x-4)=x^4+3x^3+4x^2-8
A lessor charges an acquisition fee to cover any expenses they incur while arranging a lease. Acquisition fees can sometimes also refer to charges and commissions that someone pays for the acquisition or purchase of property
Answer:
There were 61 bagels and 23 coffee sold
Step-by-step explanation:
Let us solve the question
∵ The number of bagels and coffee sold by a bagel shop yesterday
can be modeled using the equation b + c = 84
∴ b + c = 84 ⇒ (1)
∵ Their sales for the same day can be modeled using the equation
2b + c = 145
∴ 2b + c = 145 ⇒ (2)
Let us solve the system of equations using substitution
→ Subtract the two sides of equation (1) by b to find c in terms of b
∵ b - b + c = 84 - b
∴ c = 84 - b ⇒ (3)
→ Substitute c in equation (2) by equation (3)
∵ 2b + 84 - b = 145
→ Add the like terms on the left side
∴ (2b - b) + 84 = 145
∴ b + 84 = 145
→ Subtract 84 from both sides
∵ b + 84 - 84 = 145 - 84
∴ b = 61
→ Substitute the value of b in equation (3) to find c
∵ c = 84 - 61
∴ c = 23
∴ There were 61 bagels and 23 coffee sold.
<u>Answer</u>
∛729
<u>Explanation</u>
The volume of an object is the amount of space that the object can occupy.
The general formula for getting the volume of a regular object is:
Volume = Base area × Height
For a cube, all sides are equal.
∴ Volume of a cube = length × length × length
= (length)³
This means given the volume of a cube we can get the length of one side as shown.
Volume = (length)³
length = ∛volume.
∴ Volume = 729 in³
Length = ∛729 inches. This will give you the number of cubes 1 inches can fit along one side.
6=9x+27 distributive property
