<span>The function f(x) = x^3 + 2x^2 - 4x - 3 is a polynomial function of degree 3 and hence will have three solutions and hence 3 x-intercepts.
The function g(x) has x-intercepts at x = -2, x = -1, x = 1 and x = 3. Hence function g(x) has 4 x-intercepts.
The function h(x) has x-intercepts at points (pi over 2, 0) and (3 pi over 2, 0). Hence function h(x) has 2 x-intercepts.
Therefore, the function with the most x-intercepts is function g(x) with 4 x-intercepts.</span>
Answer:
x = - 4, 0, 3, 4
Step-by-step explanation:
Given
f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus
f(x) = - 5x(x - 4)(x + 4)(x - 3)
To find the zeros, equate f(x) to zero, that is
- 5x(x - 4)(x + 4)(x - 3) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
Thus the zeros are
x = - 4, x = 0, x = 3, x = 4
Answer:
-3(4 - 6x)
-12 +18x
=18x - 12
Step-by-step explanation:
You multiple the negative 3 with positive 4 to get negative 12.
An you also multiple the negative 3 with negative 6x (a negative multiple a negative changes into positive) giving you 18x as your answer
Answer:
8.06
Step-by-step explanation:
So for this one we are just going to take the two points (0,0) and (8,1), and plug them into the formula for distance which is d=
=8.06226
Then just round it
8.06