<span>8x^2-8x-13 is the correct answer </span>
Answer:
See explanation
Step-by-step explanation:
Let
be the number of students and
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus

2. The auditorium can accommodate up to 180 spectators, hence

3. We get the system of inequalities:

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise 
Answer:

Step-by-step explanation:
<u><em>Given Equation is </em></u>
=> 
Comparing it with
, we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β = 
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots = 
Sum of Roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = S = 
Product of Roots = 
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=> 
=> 
=> 
=> 
This is the required quadratic equation.
Answer:
Step-by-step explanation:
Given
x times by 9
Required
Write out an algebraic expression for the above.
Follow the instructions below to get the algebraic expression of the above.
1. First, write out the variable: x
2. Then write out an expression for "times by 9". This means multiply x by 9.
So, this gives x * 9.
x * 9 = 9x.
Hence, the expression for the above question is 9x
V = u + at
u = 0
v = 0 + 1.5*5
v = 7.5 m/s
final velocity is 7.5 m/s
s = ut + 0.5at^2
s = 0 + (0.5*1.5*5^2)
s = (0.5*1.5*25)
s = 18.75 m
total travel distance is 18.75 m.