The teacher would have to grade 322 problems
14 (problems) x 23 (students)
Answer: 322
I'd say that the relationship between y and x is that they're both equivalent to each other, since -3 = -3.
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± 
= ± i
Answer:
6xy^3 +12xy^2 z
Step-by-step explanation:
3xy^2 (2y+4z)
Multiply
3xy^2 * 2y + 3xy^2 *4z
common factors
3xy^3 +3xy^2 *4z
Multiply
6xy^3 +12xy^2 z
We know that the volume of a rectangular prism is given by:
V = A · h
where:
A = surface area
h = height
Therefore, you can solve for A:
A = V / h
= 64 / h
Now, you need to ask yourself by how many numbers you can divide 64. The possible heights are 64, 32, 16, 8, 4, 2 and 1.
Hence:
A) there are 7 possible surface areas (one for each possible height).
B) the <span>maximum Area will be that of the box with the minimum height:
A = 64 / 1 = 64
C) the minimum Area will be that of the box with the maximum height:
A = 64 / 64 = 1</span>
