Answer:
Its the first option.
Step-by-step explanation:
y = 3x - 9 on the boundary.
Any points on this line must satisfy this equation.
Try (0, -9) and (3,0):-
-9 = 3(0) - 9 = -9 so the first point is on the boundary.
(3, 0):
0 = 3(3) - 9
= 9 -9 = 0 so this point is on the line also.
Multiply 4 or on both sides to get c by itself
c ≤ 16
Note that it said find "a" formula for P(x). We can infer from this as there are multiple possibilities.
In fact, there are many possible P(x) that fits the bill.
You got the most important part correct, namely
(x+5)(x-5)^2.
In general, P(x)=A(x+5)(x-5)^2 will work, but we need to satisfy also y-intercept of P(0)=-75.
If we expand the expression, we get
P(x)=A*x^3A-5A*x^2-25A*x+125A
=>
P(0)=125A.
So setting A=-3/5 => P(0)=-75 as required.
or
P(x)=-3/5(x+5)(x-5)^2
will satisfy all requirements.
It would be nice exercise for you to confirm that it is indeed the polynomial required.
Answer: 0
Step-by-step explanation:
Simplifying
9x2 + 49x = 22 + -5x
Reorder the terms:
49x + 9x2 = 22 + -5x
Solving
49x + 9x2 = 22 + -5x
Solving for variable 'x'.
Reorder the terms:
-22 + 49x + 5x + 9x2 = 22 + -5x + -22 + 5x
Combine like terms: 49x + 5x = 54x
-22 + 54x + 9x2 = 22 + -5x + -22 + 5x
Reorder the terms:
-22 + 54x + 9x2 = 22 + -22 + -5x + 5x
Combine like terms: 22 + -22 = 0
-22 + 54x + 9x2 = 0 + -5x + 5x
-22 + 54x + 9x2 = -5x + 5x
Combine like terms: -5x + 5x = 0
-22 + 54x + 9x2 = 0