Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time. The combinations can be shown as C(9,5), 9C5.
C(9, 5) =
9/5(9-5) =
9*8*7*6*5 / 5*4
The 5 terms cancel.
9*8*7*6 / 4*3*2 =
9*7*2 =
126
The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126.
Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
The area of the wall is 92,322
The equation of the horizontal asymptote for this function f(x) = (1/2)^x + 3 is option D y = 3.
<h3>When do we get horizontal asymptote for a function?</h3>
The line y = a is horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
The function is given as;
f(x) = (1/2)^x + 3
The function is Exponential functions.
Exponential functions have a horizontal asymptote.
The equation of the horizontal asymptote is option D y = 3.
Learn more about horizontal asymptotes here:
brainly.com/question/2513623
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If you have a graphing calculator I think you can enter in the points to get the answer to this.
