To factor x^2 + 2x - 8 follow these steps
1) Write to factors, with x as the first term, this way:
(x )(x )
2) The sign to the right of the x in the first factor is the same sign of the coeficient of x in the polynomial.
That is +.
The sign to the right of the x of the second factor is the product of the sign of the coefficent of x (this is +) and the sign of the independent term (this is - ).
So that is (+).(-) + -.
Now the two factors have this form:
(x + ) (x - )
3) Now find two numbers whose product is - 8 and whose difference is +2
Those numbers are + 4 and -2.
Then the two factors are:
(x + 4) (x - 2).
So the answer if that the correct factorization is (x + 4) (x - 2)
Because it’s perpendicular, the slope must be -1/2, which is the opposite of 2. You can put the points into y-3=-1/2(x-4) and simplify if need be.
Answer:
Betty produced 613 gallons while Georgette produced 851 gallons
Step-by-step explanation:
Let Betty be X and Georgette be Y
The first equation
Y= 2x-375
Second equation
X+Y = 1464
This is simultaneous equation.
We are using substitution method
From equation 1 the value of Y= 2x-375
Substitute for the value of y in equation 2
X+Y= 1464
X + 2X - 375= 1464
Collect like terms
3x=1464+375
3x= 1839
X= 613
To get the value of Y
Substitute for Y in equation 1
Y= 2x - 375
Y= 2(613) - 375
Y= 1226 - 375
Y= 851
Since X= Betty and Y = Georgette
Betty produced 613 gallons while Georgette produced 851 gallons
