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2 answers:
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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 .
Answer:
18
Step-by-step explanation:
Let x represent smallest number and y represent second number.
We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be .
We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:
Upon solving 2nd equation, we will get:
Therefore, the smallest number is 4.8.
The biggest number would be .
Upon substituting in equation (1), we will get:
Therefore, 2nd number would be 6.
Let us find sum of all numbers as:
Therefore, the sum of all 3 numbers would be 18.