Five times the difference of a number n and forty two is ten more than twice the product of a number x and number y
- Five times: 5 ×
- difference of a number n and forty two: (n - 42)
- is: =
- twice the product of a number x and a number y: 2(xy)
- ten more than: + 10
Rewrite the expression into an equation.
<h3>5(n - 42) = 2(xy) + 10</h3>
Let’s say Y = total amount of snow, and X = number of hours
Y = 4x + 18
<u>Given</u><u> </u><u>:</u><u>-</u>
- The roots of the function are 5 and -3 .
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Answer</u><u> </u><u>:</u><u>-</u>
The roots of the function are 5 and -3 . In general we can write the Quadratic function with roots π and ∆ as ,
f(x) = ( x - π )(x-∆)
So on using this we have ,
f(x) = ( x -5)( x -(-3))
f(x) = (x-5)(x+3)
f(x) = x(x-5)+3(x-5)
f(x) = x² -5x +3x -15
f(x) = x² -2x -15
<u>Hence </u><u>the</u><u> required</u><u> </u><u>answer</u><u> </u><u>is </u><u>x²</u><u> </u><u>-2x </u><u>-</u><u>1</u><u>5</u><u>.</u>
This is how the graph should look, hope this helps