Find the value of c such that the point (3,4) lies on the graph of f(x)=cx^2+7x-2
so you want
c*3^2+7*3-2 = 4
now finish it off
To find the value of c such that the point (3, 4) lies on the graph of f(x) = cx^2 + 7x - 2, we need to substitute the x and y values of the point into the equation and solve for c.
Let's substitute the x and y values:
4 = c(3)^2 + 7(3) - 2
Simplifying the equation:
4 = 9c + 21 - 2
4 = 9c + 19
Now we can solve for c:
Subtract 19 from both sides:
4 - 19 = 9c + 19 - 19
-15 = 9c
Divide both sides by 9:
-15/9 = 9c/9
-5/3 = c
Therefore, the value of c that makes the point (3, 4) lie on the graph of f(x) = cx^2 + 7x - 2 is c = -5/3.