There are 1236 people that could sit in the gym. Hope it help!
Remark
x - 1 is a root.
Proof
x - 1 = 0
x = 1
(1)^3 + 5(1)^2 - 8(1)^2 - 40(1) + 7(1) + 35
1 + 5 - 8 - 40 + 7 + 35
6 + 7 + 35 - 48 = 0
Solution
Divide x - 1 into the original equation.
x^3 + 5x^2 - 8x^2 - 33x + 35
x - 1 || x^3 - 3x^2 - 33x + 35 || x^2 - 2x - 35
<u>x^3 - x^2</u>
-2x^2 - 33x
<u>-2x^2 + 2x</u>
- 35x + 35
<u>-35x + 35</u>
0
x^2 - 2x - 35 factors into (x - 7)(x + 5)
Complete factorization
(x - 1)(x - 7)(x + 5)
Answer:
Step-by-step explanation:
Given
Required
What is l when S = 725
This can be solved using Sum of n terms of an AP;
Where
To get T1; we substitute 4 for k in 2k - 3
To get Tn; we substitute l for k in 2k - 3
n = the number of terms;
Since k = 4 to l, then
Substitute these values in
Collect Like Terms
Open the bracket
Subtract 725 from both sides
or
or
But l must be positive;
Hence,
the value of Y is when X crosses the X axis.
Answer:
178.98 ft2
Step-by-step explanation:
we know that
The area of the circular path alone is equal to subtract the area of the circular garden from the area of the complete circle (circular garden plus circular path)
so
where
---> radius of circular garden
----> radius of the circular garden plus radius circular path
substitute