Step-by-step explanation:
Using synthetic division of polynomials 3x⁴-2x²+4x+9÷x+2. Rewrite the dividend as 3x⁴+0x³-2x²+4x+9
2 | 3 0 -2 4 9
| 6 -12 20 -32
3 -6 10 -16 41
So the quotient is 3x³-6x²+10x-16 with a remainder of 41
Therefore, 3x³-6x²+10x-16+(41/x+2)
Maximum profit due to the feasibility graph....we take where the two lines cross...(6,5). These figures are substituted into the equation and the result is the max profit...
p = 3x + 2y
p = 3(6) + 2(5)
p = 18 + 10
p = 28
Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8
x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32
Answer: x-intercept = (32,0)
Answer:
let x=smaller number
let 2x +3=larger number
sum=5 times the smaller number
x+2x+3=5x-3
x=3
so the larger number =2x+3=9
