Here-
Equation at the end of step 1 :
((9 • (x2)) - 4xy) - 2y2 Step 2 :
Equation at the end of step 2 :
(32x2 - 4xy) - 2y2Step 3 :
Trying to factor a multi variable polynomial :
3.1 Factoring 9x2 - 4xy - 2y2
Final result :
9x2 - 4xy - 2y2
Answer: a^3+81ab^2
First, you square (a+9b) which will become (a^2+81b^2)
Then, you multiply it by a and you will get a^3+81ab^2
Ratio of odd numbers:even numbers
Odd numbers are - 9, 37, 1
Total odd numbers- 3
Even numbers are - 2, 4, 6, 8, 14
Total even numbers- 5
odd numbers:even numbers
Answer= 3:5
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct
9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
_____
If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.
