Answer:
26/52 or 1/2
Step-by-step explanation:
There are 1-9, King, Queen, Jack, for both Diamonds and Hearts
Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have
so the expression is the sum of the cubes of 6x and 4
Y = f (x) = 19 / x^3 and g (y) = x
<span>g is inverse of f </span>
<span>x^3 = 19 / y </span>
<span>x = [ 19 / y ]^(1/3) </span>
<span>g (y) = [ 19 / y ]^(1/3) </span>
<span>g (x) = [ 19 / x ]^(1/3)________inverse function.</span>
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x 
1.5 =
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
To find a rational function's vertical asymyptotes, you need to find when the denominator is zero. So when is the denominator x² + 3x - 4 zero? We set that denominator equal to zero.
x² + 3x - 4 = 0
This second degree equation factors. We want a pair of numbers that multiply to 4, and there are only two pairs: 2 and 2, 1 and 4. We want the sum to 3, and one must be negative. -2 and 2 add to zero, -4 and 1 add to -3, -1 and 4 add to 3. The last one is the pair.
x² + 3x - 4 = 0
(x + 4) (x - 1) = 0
x = -4 or x = 1
So the function's vertical asymptotes are at x = 1 and x = -4.
