Answer:
Option D is the correct answer
Step-by-step explanation:
The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.
In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation
y = x^2 - 9x + 18
Solving the equation by using the factorization method,
x^2 - 9x + 18 = 0
x^2 - 6x - 3x + 18 = 0
x(x-6)-3(x-6)
(x-6)(x-3) = 0
x -6 = 0 or x -3 = 0
x = 6 or x = 3
The x-intercepts are (3, 0) and (6, 0)
Let 2x – y = 3 ——— equation 1
Let x + 5y = 14 ——— equation 2
Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3
• Put eqn 3 in eqn 2
(y + 3 / 2) + 5y = 14
6y = 14 – 3/2
6y = 25/2
y = 25/12
• put y = 25/12 in eqn 3
x = (25/12 + 3/2)
x = 43/12
Answer:
D. The McCarter's must make more than 10 visits to the pool for the pass to be a better deal.
Step-by-step explanation:
First, I chose the option that seemed most likely. Once I chose D, I plugged in the answer to see if it actually worked.
10 x 7.5 =75 dollars + 50 (pass fee) = 125 dollars total.
10 x 12.5= 125 dollars.
Therefore, in order to get a deal off of the seasonal pass, the McCarter's would have to visit the pool more than 10 times. D.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 loaves × (5½ teaspoons)/loaf = 11 teaspoons
He needs 11 teaspoons of cinnamon to make two loaves.
1/11 of 11 teaspoons = 1 teaspoon
He puts 1 teaspoon of cinnamon into his tea.
