For example:
x+2y=7
6x+7y=2
__________
x=7-2y *
6*(7-2y)+7y=2 **
__________
x=7-2y
42-12y+7y=2
__________
x=7-2y
-5y=-40
__________
x=7-2y
y=8
x=-9
Translating a graph upwards just means adding or subtracting a value from the initial function.
So to push a graph up, you just add (+) the number of units onto the original function.
Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope
We know the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept
now substituting m = -10/7 and b = -45/7 in the slope-intercept form
Thus, the equation of the line in slope-intercept form is:
We can write this as:-
P(x) = + x^3 - 5x^2 - 25x + 125
There are 2 changes of real sign so by Descartes Rule of signs there are either 2 positive real roots or 0 positive roots.
P(-x) = - x^3 - 5x^2 + 25x + 125
There is just one change of sign so there is exactly 1 real negative root.
125 is a multiple of 5 so By rational root theorem 5 could be a positive root.
P(5) = 125 - 125 - 125 + 125 = 0 so one zero is 5
if we divide the polynomial by (x - 5) we get the quadratic
x^2 - 25
(x + 5)(x - 5) = 0
x = 5,-5
so the roots are 5 (multiplicity 2) and -5.
2 real positive zeroes and one real negative zero
It would be $ 6,750 or a total of $19,250
