Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
Answer: the graph increases from left to right, since the price goes up. If you were to actually graph this, the years would be on the bottom and the price would be on the left side, so since the price is going up, so is the graph. :)
Let x be the number of weeks for this financial situation. The amount that Katherine will have at the end of x weeks is 140 + 6x. On the other hand, with the spending that she is doing, Abbie will have 462 - 10x after x weeks. Equating the two,
140 + 6x = 462 - 10x
Thus, the answer is letter B.
