Answer:
x = 2, y= -1 Or (2, -1)
Step-by-step explanation:
Let’s solve the system using substitution. First we can set the equations equal to each other:
x-3= -2x +3
Now solve for x
3x-3= 3
3x = 6
x=2
Now that we have x, we can plug it back into one of the original equations to get y
y= x-3
y= 2-3
y = -1
Finally, the solution to the system of equations is (2, -1).
Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
This graph the answer to your problem.
Answer:
g(x) = - x² - x + 12
Step-by-step explanation:
Given
g(x) = (- x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- x(x - 3) - 4(x - 3) ← distribute both parenthesis
= - x² + 3x - 4x + 12 ← collect like terms
= - x² - x + 12 ← in standard form