Answer:
(x - 9)(x - 9)
Step-by-step explanation:
<em>Hey there!</em>
Well to factor,
x^2-18x+81
we need to figure out what times what equal 81 and adds together to get -18.
-9*-9 = 81
-9 + -9 = -18
x*x = x^2
Factored - (x - 9)(x - 9)
<em>Hope this helps :)</em>
f(x) = sqrt [( x - 3) / (x - 5)]
well x cannot be 5 because that would make x - 5 = 0.
Also the fraction x - 3 / x - 5 cannot be negative because theres no real square root of a negative.
So x must be <= 3 or > 5
In interval notation the domain is ( -∞,3] or (5 , ∞)
If the amount of weeks is w, then -1.5w is the amount of hair cut off due to that she subtracts 1.5 from her hair every week. Therefore, since the base amount is 11.5, we have to add that to the expression to get 11-1.5w
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586
Part C: Treat these two expressions as separate functions. Then f(x) = 4^(-x) and g(x) = 2^x + 3. Graph these functions separately on the same set of coordinate axes. Determine the coordinates of the point of intersection of the two graphs. That's your "solution," or at least the x-component of it. To find the y-component, substitute your "solution" into either f(x) or g(x). Write your final solution in the form (x,y).
