(-4-63)\(2x-4-10)-8-10
-67\-18=-3.7
Answer:
200
Step-by-step explanation:
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9514 1404 393
Answer:
x = -1, 1, 9
Step-by-step explanation:
You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...
f(x) -g(x) = 0
x³ -9x² -(x -9) = 0
x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms
(x² -1)(x -9) = 0 . . . . . . use the distributive property
(x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares
Values of x that make these factors zero will make f(x) = g(x):
x = -1, 1, 9 for f(x) = g(x)
Answer:
x=5
Step-by-step explanation:
The sum of the interior angles of a polygon is found by
(n-2)*180 where n is the number of sides
There are 6 sides
(6-2) *180
4*180
720
The sum of the angles is 720
18x+25x+28x+26x+29x+90=720
Combine like terms
126x +90=720
Subtract 90 from each side
126x +90-90=720-90
126x =630
Divide by 126 on each side
126x/126 = 630/126
x=5
Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-

So the total money will it hand out in prizes after 8 questions would be :

Hence, the total money it will hand out in prizes = $5100