Answer:
x = ±√2
Step-by-step explanation:
x - 1 = 1/(x + 1)
(x -1)(x + 1) = 1 Multiplied each side by x + 1
x² - 1 = 1 Difference of two squares
x² = 2 Add 1 to each side
x = ±√2
x-1 is the reciprocal of x+1 when x = -√2 or x = √2.
Check:
(a) x = -√2
-√2 - 1 = 1/(-√2 + 1)
-(√2 + 1) = (√2 +1)/[(-√2 +1)(√2 + 1)]
-(√2 + 1) = (√2 +1)/(-2 +1)
-(√2 + 1) = (√2 +1)/(-1)
-(√2 + 1) = -(√2 +1)
(b) x = √2
√2 - 1 = 1/(√2 + 1
√2 - 1 = (√2 - 1)/[(√2 + 1)(√2 - 1)
]
√2 - 1 = (√2 - 1)/(2 - 1)
√2 - 1 = (√2 - 1)/1
√2 - 1 = √2 - 1
OK.
Since top 3 racers recognized with the same award, answer is 3/12 or 1/4 or .25
Answer:
3x³ and 6x³, y and 7y
Step-by-step explanation:
Like terms have variables with the same exponents. This fact eliminates choices A, C, D.
The like terms are ...
3x³ and 6x³, 7y and y . . . . . . choice B
Answer:
Step-by-step explanation:
y=a*b^x
pass thro' (1, 7.5) n (3, 16.875)
at x=1, y=a*b=7.5
at x=3, y=a^b^3=16.875
dividing, a*b^3/a*b=16.875/7.5
b^2=2.25
b=+1.5 or -1.5
a=7.5/b
a=5 or -5
y=5*(1.5)^x
or
y=(-5)*(-1.5)^x