Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
Y-Intercept: (0,1)
10 tenths are equivalent to 1
Since the steps are the same size, and she ended up where she started, she must have taken the same number of steps forward as she took backward.
16/2 = 8
She took 8 steps forward and 8 steps backward.
If you would like to solve 1/(x + 3) = (x + 10)/(x - 2), you can do this using the following steps:
<span>1/(x + 3) = (x + 10)/(x - 2)
</span>1 * (x - 2) = (x + 10) * (x + 3)
x - 2 = x^2 + 3x + 10x + 30
0 = x^2 + 13x + 30 - x + 2
0 = x^2 + 12x + 32
0 = (x + 8) * (x + 4)
1. x = -8
2. x = -4
The correct result would be x = -8 and x = -4.
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))
