You need to bring them to a common denominator by multiplying the numbers below and above the line by the denominator of the other:
and the other one will be
when we calculate we have
60/105 and the other number is 56/106.
now we can add them:
(60+56)/105=116/105= 1 and 11/105 or 1.104....
Answer:
Service A is represented by Line m
Service B is represented by Line ℓ
For Service B, is the additional charge per mile is less than 30 cents per mile
Descending order for a polynomial means from highest value of exponent to the lowest value of exponent.
If you observe the options you can see that polynomial shown in option A is only listed in descending order i.e. starting from a maximum exponent of x and then moving towards lower exponents of x.
So answer to this question is option A
Quadratic equation: ax² + bx + c =0
x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b²-4ac)]/2a
6 = x² – 10x ; x² - 10x -6 =0
(a=1, b= - 10 and c = - 6
x' = [10+√(10²+4(1)(-6)]/2(1) and x" = [10-√(10²+4(1)(-6)]/2(1)
x' =5+√31 and x' = 5-√31
Answer:
See below
Step-by-step explanation:
Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Line a: -x+2y=3
2y = x + 3
y = (1/2)x + 3
Line b: -6x=3y-1
-3y = 6x - 1
y = -2x + (1/3)
Line c: 4x-8y=5
-8y = -4x + 5
y = (1/2)x - (5/8)
Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.
Slopes, m, for the lines are;
The negative inverse of (1/2) is -2.
Lines a and c are parallel (same slope)
Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2