Answer:
No student liked only Nokia
Step-by-step explanation:
The information can be illustrated as shown on the Venn diagram.
The number of students who liked only Nokia is x.
The sum of all regions in the Venn diagram should be 40.
We add all to get:




Therefore no one liked only Nokia
The two Integers are -1 and 4. Since the product of -1 and 4 is -4, Also since the sum of 4 and -1 is 3 that would be the two integers you are looking for.
Using <span>Descartes' rule of signs.
There are 4 changes of signs of coefficients:
+ to - (+x^6-x^5)
- to + (-x^4+4x^3)
+ to - (+4x^3-12x^2)
- to + (-12x^2+12)
Therefore, there are 4,2 or 0 positive roots </span><span><span>at most</span>. So it must be the third answer.
</span>
Answer:
A'B' = 34 units
Step-by-step explanation:
Since the dilatation is centred at the origin , then multiply the coordinates by 2
A' = (2(0), 2(- 7) = (0, - 14 )
B' = (2(8), 2(8) = (16, 16)
Calculate the length using the distance formula
d = 
with (x₁, y₁ ) = A'(0, - 14) and (x₂, y₂ ) = B'(16, 16)
d = 
= 
= 
= 
= 34
5^-2 = .04
5^5 = 3125
.04 x 3125 x 5 = 625