Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
where r is between -1 and 1 and 
is the common ratio, and 
is the first term of the series.
So let's plug in:
I multiplied bottom and top by 10.
I divided top and bottom by 3.
The sum is 1/3.
Answer:
1) answer is 2x^2 - x + 6
2) answer is 2x^2 + 2x + 2
Step-by-step explanation:
i dont know if this is what you wanted, but i tried to follow the directions as best i could
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
Answer:
52 ft^2
Step-by-step explanation:
To find the area you just multiply 13 feet (length) by 4 feet (width). This gives you 52 feet squared because we are dealing with area and square feet.
You and your 2 nieces bakes 27 cupcakes. This means that there were 27 cupcakes to be distributed evenly between the 3 of you. So divide 27 by 3 to get your answer.
27 ÷ 3 = 9.
This means that each of you would get 9 miniture cupcakes to take home.
