Well, we know that it costs $60 plus 5 per month for Alpha Fitness Club.
We also know that it costs $20 plus 10 per month for Omega Fitness Club.
In order to find out which one would cost the most, we must add the additional costs to the original join cost.
(NEVER add the join cost, just do the join cost at the beginning or else the clubs will never become the same cost.)
Club M1 M2 M3 M4 M5 M6 M7 M8 M9
Alpha: 60 65 70 75 80 85 90 95 100
Omega:20 30 40 50 60 70 80 90 100
If you look above, you realize that there is a time when they both cost the same.
Summary sentence:
After 9 months, the cost to belong to either fitness club would be $100.
Answer:
0, - 6, - 12
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the formula
a₁ = 3(- 2)(1 - 1) = 3 × - 2 × 0 = 0
a₂ = 3(- 2)(2 - 1) = 3 × - 2 × 1 = - 6
a₃ = 3(- 2)(3 - 1) = 3 × - 2 × 2 = - 12
First 3 terms are 0, - 6, - 12
Step-by-step explanation:
stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation
Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
2:6 is equal to 8:24. So 8:24 is your answer!
