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))
19.18/2.8= 6.85 hours or rounded it would be 7 hours
Given that:
Volume of cylinder, V= 87.92 cm³
Radius, r= 2 cm
π=3.14
Formula for volume of cylinder:
V=πr²h
Put values in the formula.
87.92=(3.14)(2)²h
87.92=(3.14)(4)h
87.92=12.56h
Divide both sides by 12.56
7=h
or
h=7 cm
Answer: Height of Cylinder is 7 cm.
Answer:
-46
Step-by-step explanation:
Answer:
4/5p - 8
Step-by-step explanation:
