Answer:
(u + 1)(u - 1)(u² + 8)
Step-by-step explanation:
<u>Here is the steps:</u>
- u⁴ + 7u² - 8 =
- u⁴- u² + 8u²-8 =
- u²(u² - 1) + 8(u² -1) =
- (u² - 1) (u² +8) =
- (u + 1)(u - 1)(u² + 8)
Answer:
#5: Equivalent
#6: Not Equivalent
1. 3x+6
2. 4y-4
3. x²+6x
4. xy+4x
5. 3x²+3xy-3x
Step-by-step explanation:
for #6 the equivalent: 2x(x+3)= 2x²+6x
1. The area of a rectangular barnyard is given by the trinomial 4x ^ 2 + 4x-3. What are the possible dimensions of the barnyard? Use factoring
4x ^ 2 + 4x-3
For this case, the first thing we must do is factorize the given expression.
We have then factoring:
(2x-1) * (2x + 3)
Therefore the dimensions of the rectangle are:
(2x-1)
(2x + 3)
Answer:
the possible dimensions of the barnyard are:
(2x-1)
(2x + 3)
2. The area of a rectangular picture frame is given by the trinomial 6x ^ 2-11x-72. What are the possible dimensions of the frame? Use factoring
6x ^ 2-11x-72
For this case, the first thing we must do is factorize the given expression.
We have then factoring:
(3x + 8) * (2x-9)
Therefore the dimensions of the rectangle are:
(3x + 8)
(2x-9)
Answer:
the possible dimensions of the frame are:
(3x + 8)
(2x-9)
Option A is the relationship which shows a direct variation.
Step-by-step explanation:
The direct variation is a relationship between two variables in which one is the multiple of the other. It is given by the relation
Option A:
For and ,
For and ,
Since, the constant k is equal for all the values of x and y in the table, this relationship is a direct variation.
Option B:
For and ,
For and ,
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Option C:
For and
For and
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Option D:
For and
For and
Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.
Thus, Option A is the relationship which shows direct variation.
Answer:
The volume of the square pyramid is
Step-by-step explanation:
we know that
The volume of a pyramid is equal to
where
B is the area of the base of pyramid
h is the height of the pyramid
in this problem we have
substitute the values