Answer:
482
Step-by-step explanation:
We can see that the numbers shown resemble an arithmetic sequence because they have a common difference. The formula for the nth term of an arithmetic sequence is:
Where 
is the first term, 
is the nth term, and 
is the common difference. To find the 61st term, all we need is the first term and the common difference. By looking at what given, we can say the first term is 2. Now, to find the common difference, we find the difference of a term from the term before it. In this case we can do 
, which is 
, or the common difference. Since we have everything we need, it can be plugged into the equation:
So, the 61st term is 482.
<span>one approach first write the formula substitute what you are given to find the rate you have the initial amount and the amount after a specified time do you see that it changed by (51 -48) millions in a period of (1997-1990) years using this rate with the new time (2017-1997) years and the new initial amount 51 million plug into the formula to find the new amount. Round your answer to the nearest million. the amount is calculated in millions. use the nearest whole number.</span>
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
Answer
D. 3m - 4/3 -2/m
<u>Explanation</u>
(9m²-4m-6) ÷ 3m = 9m²/3m - 4m/3m - 6/3m
Carry out the division, each term is divided by 3m.
9m²/3m = 3m
- 4m/3m = -4/3
- 6/3m = - 2/m
Finally you will get,
<em>3m - 4/3 -2/m</em>
