At how many points does the graph of the function below intersect the x-
axis?
y = 4x2 - 9x+9

None

Step-by-step explanation:

The fastest way to answer this is to calculate the determinant b^2 - 4ac.

Here a = 4; b = -9; c = 9.

Then the discriminant is:

(-9)^2 - 4(4)(9) = -63

Because the determinant is negative, the graph of this function does not intersect the x-axis.

None.

Step-by-step explanation:

We need to find the nature of the roots of the equation by examining the value of the discriminant ( b^2 - 4ac).

b^2 - 4ac = (-9)^2 - 4*4*9

=  81 - 144

= -63

Because it is negative there are no real roots so there are no intersecting points on the x axis

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8