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:
Danny has atleast 97 so I would write it d>/= 97 d is greater than or equal to 97
Step-by-step explanation:
Answer:
The answer to your question is 164 meters
Step-by-step explanation:
Data
Width = 100 m
Length = 130 m
diagonal = ?
Process
1) To solve this problem, use the Pythagorean theorem
c² = a² + b²
where,
c = diagonal
a = length
b = width
2) Substitution
c² = (130)² + (100)²
3) Simplification
c² = 16900 + 10000
c² = 26900
4) Result
c = 164 m
Option D:
Difference between g(x) and f(x) is 44.
Solution:
Let us first write the function of f(x).
Take any two points on the line (0, -1) and (-2, 0).
Here, 
Equation of a line:
Do cross multiplication.
-2(y + 1) = x
-2y - 2 = x
Add 2 on both sides.
-2y = x + 2
Divide by -2 on both sides.
y = -0.5x - 1
f(x) = -0.5x - 1
At x = 20,
f(20) = -0.5(20) - 1 = -11
g(x) = 1.5x + 3
g(20) = 1.5(20) + 3 = 33
Difference between g(x) and f(x)
= g(20) - f(20)
= 33 - (-11)
= 33 + 11
= 44
Difference between g(x) and f(x) is 44.
Option D is the correct answer.
