Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
Answer:
the total cost will be $14
Step-by-step explanation:
a) 0.05p + 0.45f
b) 0.05(100) + 0.45(20)=
5+9
14
Answer:
![a_{37}=100](https://tex.z-dn.net/?f=a_%7B37%7D%3D100)
Step-by-step explanation:
Given that,
A sequence 352,345,338.
First term = 352
Common difference = 345-352 = -7
We need to find the 37th term of the sequence.
The nth term of an AP is given by :
![a_n=a+(n-1)d\\\\a_{37}=352+36\times (-7)\\\\a_{37}=100](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d%5C%5C%5C%5Ca_%7B37%7D%3D352%2B36%5Ctimes%20%28-7%29%5C%5C%5C%5Ca_%7B37%7D%3D100)
So, the 37th term of the sequence is 100.
√8 = √(4x2) = 2√2
4√2 =4√2
2√2-4√2 = -2√2