Answer:
$778.12
Step-by-step explanation:
Before Tax Price: $708.99
Sale Tax: 9.75% or $69.13
After Tax Price: $778.12
It follows from the definition of the binomial coefficient:

So we have

That is,
gets absorbed into the numerator's factorial, and we introduct
into the denominator. Now,
, so we get

as required.
Answer:
Step-by-step explanation:
Let the larger number = x
Smaller number = y
6x + 7y = 114 ------------(I)
10x - 9y = 66 ------------(II)
Multiply equation (I) by 9 and multiply the equation (II) by 7. After that add the two equations. So that, y will be eliminated and we can find the value of x
(1)*9 54x + 63y = 1026
(II)*7 <u>70x - 63y = 462</u> {Now add}
124x = 1488 {Divide both sides by 124}
x = 1488/124
x = 12
Plugin x = 12 in any of the equation. Here, We are substituting in equation (I)
6*12 + 7y = 114
72 + 7y =114
7y = 114 - 72
7y = 42
y = 42/7
y = 6
The numbers are 12 , 6
Answer:
the last option: 
Step-by-step explanation:
Make sure you have the numerical answer for each of the functional expressions that are shown among the possible solution choices:
f(4) = -14 (what the blue function reads [its y-value] when x is 4)
g(4) = 10 (what the red function reads [its y-value] for x=4)
g(-2) = 4 (y-value of the red function when x is -2)
f(2) = -8 (y-value of the blue function for x = 2)
f(-2) = 4 (y-value of the blue function for x =-2)
use them to compare the options they give you, and the only one that matches is the last option.
Answer:
1/2 4 ( I believe it's the correct answer, forgive me if I'm wrong)