Answer:
(x,y)=(6,6)
Step-by-step explanation:
there you go
A) yes
B) yes
C) no
For each of these, substitute the value of x in the ordered pair into x in the function.
For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.
For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.
For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
Answer:
Parallel: G and F
perpendicular: G & H, F & H
Step-by-step explanation:
G and F are parallel because they will never cross, where as both are perpendicular to H because they intersect at 90°
Answer:
8) -8, -9
9) 4, 
Step-by-step explanation:
8) x² + 12x + 27
Solutions of a polynomial means the values of
such that the polynomial becomes zero.
.
We use the following formula to determine the solutions of a quadratic equation of the form: 

In this equation, 
Substituting in the formula, we have:


Taking 2 common outside we get:

Therefore, we get two solutions viz, x = -3, -9.
9) 2x² - 9x + 4 = y
X- intercepts of a polynomial means the value of x such that y = 0. It means the roots of the polynomial.
Solving the equation using the formula above, we get:


The values of x = 4,
.
Hence, the answer.