Answer:
2
Step-by-step explanation:
According to the fundamental theorem of Algebra
A polynomial of degree 3 has 3 roots
However, complex roots occur in conjugate pairs, hence
There can only be 2 distinct complex roots.
The easist way to find the vertex is to complete the square:
y=2x^2 +11x-6 => <span>y=2[ x^2 + (11/2)x + (11/2)^2 - (11/2)^2 ] - 6
This can be rewritten as
y = 2[(x+11/2)^2 ] -(121/4) - 24/4
y = 2 (x+11/2)^2 - 145/4
this is the equation in vertex form. The vertex is at (-11/2, -145/4).</span>
Number of ways the second grade students can sit on the first row is 5! = 5P5
Number of ways 15 first grade students can sit in the remaining 20 seats is 20P15
Therefore, required number of ways is 5P5 * 20P15. (option B)
Answer:
40%
Step-by-step explanation:
The first step is to calculate the unit selling price
= total sales/number of units
= 200,000/50,000
= $4
The unit variable expense can be calculated as follows.
= total variable expense/number of units
= 120,000/50,000
= $2.4
The contribution margin per unit can be calculated as follows
=selling price per unit- variable cost.
= $4-$2.4
= $1.6
Therefore the contribution margin ratio can be calculated as follows.
= $1.6/$4
= 0.4×100
= 40%
Answer:
x = -2,-4
Step-by-step explanation:
if you check it it will be 0 on both so its not both its just one but you can chose
