Answer:
-22/55,-1,21/28
Step-by-step explanation:
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer: The price of each small box is $4.8 and the price of each large box is $10.8.
Step-by-step explanation:
Let x = Price of each small box, y= price of each large box.
As per given,
3x+2y= 36 ...(i)
4x+y= 30 ...(ii)
Multiplying 2 to (ii), we get
8x+2y =60...(iii)
Subtract (i) from (iii), we get
5x= 24
x= 4.8
From (ii)
4(4.8)+y= 30
19.2+y=30
y= 10.8
Hence, the price of each small box is $4.8 and the price of each large box is $10.8.
Answer: x<17.5
Step-by-step explanation:
Subtract from both sides: x+2.5-2.5<20-2.5
Simplify the arithmetic: x<20-2.5
Simplify the arithmetic: x<17.5
Hope it helps!
