The break even point is when profit is equal to zero, or in this case when p(x)=0
4x^2-28x+40=0
4(x^2-7x+10)=0
4(x^2-2x-5x+10)=0
4(x(x-2)-5(x-2))=0
4(x-5)(x-2)=0
So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
The answer is the first one: (z+1)(y+6).
Explanation:
yz + 6 + y + 6z
= yz + y + 6 + 6z
= y(z+1) + 6(1+z)
= (z+1)(y+6)
For (z+1), you can also write (1+z), it doesn’t matter.
Hope it helps!
CHECK THE ATTACHED FIQURE FOR THE BRIDGE
Answer:
60 ft
Step-by-step explanation:
From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that
triangles ABC and EDC are congruent then we can say
side EC = side AC
3x + 9 = 5x - 5
Then we can simplify to know value of x
3x + 14= 5x
2x = 14
x = 7
But we know that AC= 5x - 5 , then substitute value of x into it
AC = 5x + 5 = 5(7) - 5
= 35 - 5
AC= 30 ft
Also EC= 3x + 9 then substitute value of x into it
EC = 3x + 9 = 3(7) + 9
= 21 + 9
EC= 30 ft
Then the the distance between the top and bottom of the bridge, in feet, = EC+AC
= 30 + 30 = 60 ft
It would be 2/5 but the numbers between is 2/10 and 3/10
This is a scholarship.
Student loans must be repaid; grants are given usually without those types of restrictions; and student work involves a student having an on-campus job.