Home Station had a promotion offering $4 off on a gallon of house paint. Write an equation for the cost,C,of 15 gallons paint in
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Answer:
The general term for the given sequence is:
Step-by-step explanation:
The given series is:
First of all, let us have a look at the positive and negative sign of the sequence.
2nd, 4th, 6th ..... terms have a negative sign.
For this we can use the following
i.e. Whenever 'n' is odd, power of (-1) will become even resulting in a positive term for odd terms i.e. (1st, 3rd, 5th ........ terms)
Whenever 'n' is even, power of (-1) will become odd resulting in a negative term for even terms i.e. (2nd, 4th, 6th ..... terms)
Now, let us have a look at the numerator part:
1, 2, 3, 4.....
It is simply .
Now, finally let us have a look at the denominator:
4, 9, 16, 25 ......
There are squares of the (n+1).
i.e. 1st term has a square of 2.
2nd term has a square of 3.
and so on
So, it can be represented as:
nth term of the sequence is:
- The system of equations has infinite many solutions.
- The y-intercepts of the equations are -8
- The slope for the Rover A equation is 1.9 and slope for the Rover B equation is 1.9
Step-by-step explanation:
Given equations are:
Rover A: y= 1.9x – 8
Rover B: 7y= 13.3x - 56
simplifying the second equation
Dividing both sides by 7
As we can see that both equations are equivalent
Slope-intercept form is :
Comparing both equations with slope-intercept form we get
Slope of Rover A = 1.9
Slope of Rover B = 1.9
y-intercepts = -8
As both equations are equivalent, the system will have infinite many solutions.
Hence,
- The slope for the Rover A equation is 1.9 and slope for the Rover B equation is 1.9
- The y-intercepts of the equations are -8
- The system of equations has infinite many solutions.
Keywords: Equation of line, Slope
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