Answer:
A.0
Step-by-step explanation:
y=4x²- 9x + 9
The function will intersect the x-axis when y = 0.
4x² - 9x + 9 = 0
a=4, b= -9, c=9
D=b² - 4ac = (-9)²- 4*4*9=81 - 144= - 63
D= -63, D<0, so the equation
4x² - 9x + 9 = 0 does not have real roots. That means that function y=4x²- 9x + 9 does not intersect x- axis. So, answer is A. 0.
The graph of the function 4x^2 - 9x + 9 = 0 does not intersect the x-axis.
The quadratic formula is a formula that is used to find the value of x in a quadratic equation. It is given by:
x = (-b ± √b² - 4ac)/2a
If the graph were to intersect the x-axis, the value of y would equal 0.
Therefore the function can be written as 4x^2 - 9x + 9 = 0
We can use the quadratic formula to find the value of x:
x = (-b ± √b² - 4ac)/2a
= (9 ± √81 - 4*4*9)/2*4
= 1.125 ± (√-63)/8
We can see that the value of x is an imaginary number. Therefore, we can say that the graph of the given function won't intersect the x-axis.
Therefore, we have found that the graph of the function 4x^2 - 9x + 9 = 0 does not intersect the x-axis. The correct answer is option A.
Learn more about quadratic formula here: https://brainly.com/question/8649555
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