Answer:
steps below
Step-by-step explanation:
x⁶ - 7x³ - 8 = (x⁶ + x³) - (8x³ + 8)
= x³ (x³+1)-8(x³+1)
= (x³ - 2³)(x³ + 1)
= (x-2)(x²+2x+4)(x+1)(x²-x+1)
(x-2)(x²+2x+4)(x+1)(x²-x+1) = 0
<u>x= -1 or x = 2</u> ... roots
or x²+2x+4=0 or x²-x+1=0
x²+2x+4=0
x = (-2±√4-16)/2 = <u>-1 ± √3 i</u> ... complex roots
x²-x+1=0
x = (1±√1-4)/2 = <u>1/2 ± (√3)i / 2</u> ... complex roots
<u />
b) P(x) = x⁶ - 7x³ - 8
= <u>(x-2)(x²+2x+4)(x+1)(x²-x+1)</u>
= (x+1)(x-2)(x-(-1 + √3 i))(x-(-1 - √3 i)(x-(1/2 + (√3)i / 2))(x-(1/2 - (√3)i / 2))
Answer: i believe it is 57
Step-by-step explanation:
Answer is 112.5 mL
You add 45 and another 45 to get 90 mL for 200g, and divide 45 by 2 to get 22.5 for the 50g left and you add all up 90+22.5=112.5
The objective function of a linear programming problem is a linear function.
A valid objective function is (b) Min 4x+3y+(2/3)z
The form of the objective function of a linear programming problem is:
The above function means that:
- The objective function cannot contain the product of the variables
- The objective function cannot contain the quotient of the variables
The above highlights mean that:
- The objective function can contain the sum of the variables
- The objective function can contain the difference of the variables
Hence, the valid objective function is (b) Min 4x+3y+(2/3)z
Read more about objective functions at:
brainly.com/question/11206462
Answer:
(2,-7)
Step-by-step explanation:
Plug in the numbers to test and see if it gives you -17 and -8.
Option 1. 2(-4)+3(2)
= -8+6 = -2. Not it.
Option 2. 2(2)+3(-7)
4 - 21 = -17 Works. Try the second equation to make sure.
3(2)+2(-7)
6-14 = -8. Works.
(2,-7) is the answer.
