The number of zeros of the quadratic functions, considering their discriminant, is given as follows:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 0 real solutions.
Hence, for the given values of the discriminant, we have that:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
Step-by-step explanation:
The co-ordinates of the rectangle are:
A (8, 6)
B (-4, -10)
C (-8, -7)
D (4, 9)
The Area of Rectangle is Given by: <em>length x breadth </em>= AB x BC
Lengths of AB and BC can be found by distance formula
<em>length</em>(AB) = 
= 
Similarly,
<em>length</em>(BC) = 5
Area of Rectangle = AB x BC = 20 x 5 = 100 square units
1 yard = 3 feet
2 yards = 6 feet
3 yards = 9 feet
area= L(W)
6(9)= 54 square ft
The plot of land has an area of 54 square feet.
Answer:
Final cost = 0.9328y
Step-by-step explanation:
Assume,
Original price = y
Given:
Discount = 22%
Sales tax = 6%
Computation:
Sales tax will be added on sale value
So,
Sales price = y[100%-22%]
Sales price = 0.88y
Price after sales tax :
Final cost = 0.88y[100% + 6%]
Final cost = 0.88y[106%]
Final cost = 0.9328y
Answer: 112.5 m^2
Step-by-step explanation:
Area of rectangle = lw
l = 7.5
w = 15
7.5 * 15 = 112.5
