Help Quickly!!
How many times will the graph of y=3x^2-10 intersect the x-axis?
A. 0
B. 1
C. 2
D. 3
3 x^2 - 10 = 0
x^2 = 10/3
x = + sqrt (10/3) or x = - sqrt (10/3)
the discriminant is positive, so two roots
and only pots a question once, please ...
To determine how many times the graph of the equation y = 3x^2 - 10 intersects the x-axis, we need to find the roots or x-values where y equals zero.
The equation is in the form of a quadratic function, y = ax^2 + bx + c, where a = 3, b = 0, and c = -10.
To find the roots, we set y equal to zero and solve for x:
0 = 3x^2 - 10
Rearranging the equation:
3x^2 = 10
Now, divide both sides of the equation by 3:
x^2 = 10/3
Taking the square root of both sides:
x = ±√(10/3)
Now we have two possible values for x, which means the graph will intersect the x-axis two times.
Therefore, the correct answer is C. 2 intersections.