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
.
3/5=24/x. cross multiply, you get 120=3x. divide by 3, x = **40**
<h2><u>
Answer:</u></h2><h2>

</h2><h2 /><h2><u>
Solution Steps:</u></h2>
______________________________
<h3>1.) Subtract 14 from both sides:</h3>
Cancels Out
<em> - We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see. </em>
<u>Equation at the end of Step 1: </u>
÷ 
<h3>2.) Multiply both sides by −0.8:</h3>
×
Cancels Out
× 
______________________________
Use keep, change, flip!
Ex: 1 / 3
— —
2 4
Keep the 1/2
Change the division sign to a multiplication sign
Flip the 3/4 to be 4/3
1 X 4
— —
2 3
Then, multiple and simplify as usual!
1 X 4= 4
2 X 3= 6
4 = 2
— —
6 3
The answer would be 2
—
3
Hope this helps, brainliest please! :)
Answer:
b
Step-by-step explanation: