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.
6+n less than or equal to sign 2n-1
<span>pennies = 0.01 $
nickels = 0.05 $
dimes = 0.1 $
quarters = 0.25 $
We must write the system of equations that best suits this problem and solve it:
Let:
x = pennies
y = nickels
z = dimes
w = quarters
Writing the equations
0.01x + 0.05y + 0.1z + 0.25w = 3.71
I have twice as many dimes as nickels
z = 2y
two more nickels than quarters
y = w + 2
three fewer pennies than three times the number of nickels
x = 3y-3.
Solving the system of equations:
x = 21
y = 8
z = 16
w = 6
answer
He has
21 pennies
8 nickels
16 dimes
6 quarters
</span>
Answer:
7x²+6x-6
Step-by-step explanation:
1 Combine similar terms
x²+5x+6x²+x-6
7x²+5x+x-6
2 Combine similar terms
7x²+5x+x-6
7x²+6x-6
Answer:
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of regular fares paid.
y is the number of reduced fares paid.
1,042 total fares were paid
This means that
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.
This means that:
System of equations:
The system of equations is:
