Sum of the geometric sequence:
S n = a * ( 1- r^n ) / ( 1 - r )
a = - 4 ( the 1st term of the sequence ), r = - 6, n = 7
S 7 = (- 4 ) * ( 1 - ( - 6 )^7 ) / 1 - ( - 6 ) = ( - 4 ) * 279937 / 7 = - 159,964
Answer: B )
f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
Answer:
960
Step-by-step explanation:
We can find the number of unique combinations by
Multiplying 4*5*6*8
960
There are 960 possible choices by picking 1 from each group
If the number is a multiple of 8, it is divisible by 8.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88... etc.
If a number is very big, let's say 176, see if you can deduct 80 from it. For this, 176 can be deducted by 80 twice, which will give you a remainder of 16 (I.e. 176 - 80 - 80 = 16". If this remainder (i.e. 16) is divisible by 8, 176 is divisible by 8.
For even larger numbers, try deducting 800, or even 8000.
Let's say you're trying to see if 2464 is divisible by 8. In this case, 2464 can be deducted by 800 thrice (I.e. 2464 - 800 - 800 - 800 = 64), and 64 is its remainder. Since 64 is divisible by 8, 2464 is divisible by 8.
Hope this helps! :)
Answer: 84.93
Step-by-step explanation:
when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93
