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:
Add 3 to both sides, so you will have
x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3
And now the left side is a perfect square trinolmial: (x-4)^2.
Step-by-step explanation:
Hope this helps:)
The question is incomplete:
Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is 5.5% of the selling price. How much commission will the salesperson earn by selling a couch for $495?
Answer:
The salesperson will earn $27.22 as comission by selling a couch for $495.
Step-by-step explanation:
From the information given, you know that Lin's comission is 5.5% of the selling price, so in order to find the amount of the commision the salesperson will earn you have to calculate 5.5% of the selling price:
495*5.5%=27.22
According to this, the answer is that the salesperson will earn $27.22 as comission by selling a couch for $495.
Answer:
Area of triangle = 1/2 of base × height
Area of triangle = 1/12 of 12×17
Area of triangle = 102m²