Solve (find x intercepts) using the quadratic formula

f(x)= -5x^+9x-4​ ​

-intercepts at and

Step-by-step explanation:

A quadratic in the form crosses the -axis when .

The first step is replacing with .

So: . With the information above, we can find the intercepts by setting .

Therefore .

Now we can use the quadratic formula because it is in the form .

Note the quadratic formula: .

To find the values of , and we can compare the equation to the general equation.

Therefore: , and .

Now put these values into the quadratic formula:

And simplify:

, .

, therefore

Now we can have two values for . One when we take away the discriminant () and one when we add it.

So

or

Therefore -intercepts at and

answer: 7270

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)