Basically see where it intersectst the y axis
that is where x=0
so set x=0 and solve
3(0)^2-1/2(0)+4+1
4+1
5
the y intercept is at y=5, so yo uknow that (0,5) is on the graph
This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
Where the picture of the triangle?
Answer:
a. 120 cables
Step-by-step explanation:
- There are 4 boxes
- Each box contains 30 cables
- Total number of cables = 4*30 = 120
Purpose of the test = to confirm all cables are good
Population of interest in this case is all cables.
<u>So the correct answer choice is </u>
