Y = -2x - 1
y = 3 - x - 1......y = 2 - x
2 - x = -2x - 1
-x + 2x = -1 + 2
x = 1 <==
Answer: $7800 was invested at 9%
$5900 was invested at 3%
Step-by-step explanation:
Let x represent the amount invested in the fund that paid a dividend of 9%.
Let y represent the amount invested in the fund that paid a dividend of 3%.
Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that
0.09x + 0.03y = 879- - - - - - - - - 1
This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that
0.1x + 0.01y = 839 - - - - - - - - - -2
Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes
0.009x + 0.003y = 87.9
0.009x + 0.0009y = 75.51
Subtracting, it becomes
0.0021y = 12.39
y = 12.39/0.0021
y = 5900
Substituting y = 5900 into equation 1, it becomes
0.09x + 0.03 × 5900 = 879
0.09x + 177 = 879
0.09x = 879 - 177
0.09x = 702
x = 702/0.09
x = 7800
Answer:
The answer would be negative 1
Step-by-step explanation:
The reason why it is negative one is because you line them up and yeah.
Answer:
Step-by-step explanation:
Given the function:
To find:
Domain of the function.
Solution:
First of all, let us learn about definition of domain of a function.
Domain of a function is the valid input values that can be provided to the function for which output is defined.
OR
Domain of a function 
are the values of 
for which the output is a valid value.
i.e. The function does not tend to 
or does not have 
form.
So, we will check for the values of for which is not defined.
For value to tend to , denominator will be 0.
So, the domain can not have x = 2
Any other value of x does not have any undefined value for the function .
Hence, the answer is:
[2 is not included in the domain].
hii!
n(n-4) = 60
n^2 - 4n - 60 = 0
( n - 10 )(n + 6 ) = 0
n-10 = 0 ---> n = 10 ---> 10*(10-4) = 10*6 = 60
n+6 = 0 --> n = -6 ---> -6 * (-6-4) = -6 * -10 = 60
