Answer:
After solving we get
Step-by-step explanation:
We need to solve the equation:
Solving:
Multiply 4x with terms inside the bracket
We need to solve above equation to find value of x
Using quadratic formula for finding value of x:
We have a=180, b=-28 and c=-57
Values of x are
So, After solving we get
Answer: 624
Step-by-step explanation:
The area of a rhombus is the product of the diagonals divided by 2 so the area of the rhombus in this case is 12 * 16 / 2 or 96 multiply with 6.5 we get 624 so that's the answer
In B 5^2 = 25. There is no x anywhere.
In C f(x) = 2/x is a function of a reciprocal, not a quadratic.
In D f(x) = 2x^3 + 3x^2 - 5 is a cubic. A cubic is not a quadratic. The highest power of a quadratic is x^2
That leaves A. When you expand the brackets, you get
3(x^2 + 3x- 4x - 12)
2(x^2 - x - 12) when you remove the brackets you get
2x^2 - 2x - 24. The highest power of x is x^2. This is your quadratic.
A<<<< answer.
Let the number of cards equal x.
Set up an equation for both companies, set equal to each other and solve for x.
0.10x + 12 = 0.12x + 10
Subtractb0.10x from both sides:
12 = 0.02x + 10
Subtract 10 from both sides:
2 = 0.02x
Divide both sides by 0.02:
X = 2/0.02
X = 100
100 cards would be the same price for both companies.