Attempt following question by selecting a choice to answer.
D
Without graphing, find out how many
x-intercepts the given function has.
y = 0.8x2 + 8x + 20e DA.
D 2
B.
D 0
C.
D 1
D.
DNone of the above
D
C
Step 1: y = 0.8x2 + 8x + 20
Step 2: 0.8x2 + 8x + 20 = 0[Write the equation in standard form.]
Step 3: Compare the equation with the standard form ax2 + bx + c = 0 to get the values of a, b and c.
Step 4: b2 - 4ac = (8)2 - 4(0.8)(20)[Substitute the values.]
Step 5: [Simplify.]= 64 - 64 = 0
Step 6: Since the discriminant is zero, the quadratic equation has only one solution.
Step 7: So, the function has one x-intercept.