Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute 
in (i).
Putting 
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute 
in (ii).
Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute 
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get
Putting 
in (iv), we get
Putting 
in (ii), we get
Therefore, the required quadratic equation is .
Let L = length, W = width, and formula for perimeter (each side added) is
P = 2L + 2W
The first statement tells us L = 3W so we can substitute 3W for L in the formula.
P = 2(3W) + 2W
The 2nd statement tells us to make the expression for the perimeter into an inequality where it is ≥ (greater than or equal to) 104
2(3W) + 2W ≥ 104
We only need to solve this to find the possible values for W/
2(3W) + 2W ≥ 104
8W ≥ 104 ← result of simplifying left side
W ≥ 13 ← result of dividing both sides by 8
ANSWER: The width is greater than or equal to 13: W ≥ 13
Answer:
1/2
Step-by-step explanation:
Answer:
one , because if the digits on a plate number are the same with others,it will only be one that is correct
