Step-by-step explanation:
Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.
Answer:
One example: 1.29
Step-by-step explanation:
Any number with 9 at the second decimal place
Y=2/3x-5
That is the regular slope-intercept form
The first equation is x = -1
The second and third equations are no solution
The third equation is all rel numbers.
We can tell each one by solving them. In the first one, you get the following.
4 + x = -8x - 5 ----> Add 8x to both sides
4 + 9x = -5 ----> Subtract 4 from both sides
9x = -9 ----> Divide both sides by 9
x = -1
For the middle two, when you attempt to solve, you get untrue statements. This shows there are no solutions. See the example below.
7 + 2x = 2x - 7 ----> Subtract 2x from both sides
7 = -7 (UNTRUE)
And for the last one, each term cancels out, which shows that we have all real solutions.
-3x + 3 = 3( 1 - x) ----> Distribute the 3
-3x + 3 = 3 - 3x ----> Add 3x to both sides
3 = 3 (TRUE)
Answer:
is the amount, in millions, for the number of Apple iPods sold in t years after 2005.
Step-by-step explanation:
Linear function:
A linear function has the following function:
In which m is the slope(the value that y changes by when x changes by 1) and b is the y-intercept(the initial value of the output).
Finding the value in 2005:
This is b.
The number of Apple iPods sold in 2009 was 54.13 million. That number decreased approximately linearly to 26.38 million iPods sold in 2013.
So in 4 years, it decreased from 54.13 - 26.38 = 27.75 million.
So the value in 2005 should also be 27.75 million more than in 2009, that is 54.13 + 27.75 = 81.88. So
Using A for y and t for x
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
In 4 years, the amount decrease by 27.75 million. So
So
is the amount, in millions, for the number of Apple iPods sold in t years after 2005.
