Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer:
127
Step-by-step explanation:
15+38+a=180
a= 127
Answer:
the answer is 6
Step-by-step explanation:
In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. so -20 + 14 is -8 so you just have to add 14 again to -8 to get 6
may I get brainliest please?
hope this helps :)
Answer:
8
Step-by-step explanation:
if the 5 aka water is equal to 20, then one unit is equal to 4, and multiply 4 by 2 to get 8.
Pls brainliest
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26-2.255%5C%25%5Cend%7Barray%7D%5Cright%5D)
Reasons:
The table is presented as follows;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26%5Cend%7Barray%7D%5Cright%5D)
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
Learn more here:
brainly.com/question/25354980
