Answer:
See below.
Step-by-step explanation:
p^2 - 6p - 16 p^2 - 9 ( p - 8)( p + 2) (p + 3)(p - 3)
------------------ + ---------- = ------------------- + -----------------
p^2 - 7p - 18 p + 3 (p - 9)( p + 2) (p + 3)
p - 8
= ------ + (p - 3) (answer)
p - 9
1. Let's call the short side
and the long side
.
2. The problem says that the short side is 1/3 the length of the long side. So, you can write the following expression:

3. The formula for calculate the area of a rectangle is:

4. Then, you must substitute
and the value of the area into the formula and solve for
(The long side):

5. Now, you can calculate
(The short side):

Therefore, the answer is: 600 feet by 200 feet.
answer:
bubble gum costs $0.15 and fudge costs $1.05
Step-by-step explanation:
you want to set up a systems of equation.
call cost of fudge "f' and call cost of bubble gum "b". Chase's purchase proves 5.70=5f+3b. Sara's purchase tells us that 3.60=2f+10b. you can solve with substitution or elimination
Answer:
The positive difference between the a values is 0.5
Step-by-step explanation:
we know that
Both parabolas cross the x axis at (-4,0) and (6,0)
so
The general equation is

<em>Find the value of a in the first parabola</em>
The y-intercept is (0,-12)
so
For 
substitute




<em>Find the value of a in the second parabola</em>
The y-intercept is (0,-24)
so
For 
substitute




<em>Find the positive difference between the a values for the two functions</em>
so
