Step-by-step explanation:
Notice that:
15x = 5 * 3x and 10y = 5 * 2y.
Since there is a common factor of 5,
we can take out the factor.
=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).
Geometric series are in the form of
Where a is the first term and r is the common ratio .
And it is given that
r=-3,2
So the first five terms are
= 2-6+18-54+162 or 2+4+8+16+32
= 122 or 62
Answer:
1/3
Step-by-step explanation:
Answer:
The domain is all real numbers.
The initial value is 3
The simplified base is
Step-by-step explanation:
The given function is .
To find the initial value, we put x=0 into the function:
.
.
The initial value is actually 3.
The given function is an exponential function, therefore the domain is all real numbers.
The range of this function refers to all values of y for which the function is defined.
The line y=0, is the horizontal asymptote.
The range is
The simplified base is .
Answer:
or
Step-by-step explanation:
Note that .
Also, note that .
So, the inequality is really equal to .
We can then add to both sides to get .
So, the solution is , or in interval notation,