5x 3. + 4x2-9 2x+1 2x2+x-3
1 answer:
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You break even if you spend exactly as much as you gain. In other words, if the cost and the revenue are the same:
Subtract 0.25 from both sides:
Divide both sides by 1.25:
So, they must sell 116 computers to break even. If they sell less, they'll lose money. If they sell more, they'll start making profit.
Answer:
6*8=48 groups with elements of order 7
Step-by-step explanation:
For this case the first step is discompose the number 168 in factors like this:
And for this case we can use the Sylow theorems, given by:
Let G a group of order where p is a prime number, with
and p not divide m then:
1)
2) All sylow p subgroups are conjugate in G
3) Any p subgroup of G is contained in a Sylow p subgroup
4) n(G) =1 mod p
Using these theorems we can see that 7 = 1 (mod7)
By the theorem we can't have on one Sylow 7 subgroup so then we need to have 8 of them.
Every each 2 subgroups intersect in a subgroup with a order that divides 7. And analyzing the intersection we can see that we can have 6 of these subgroups.
So then based on the information we can have 6*8=48 groups with elements of order 7 in G of size 168