Find all zeros of ƒ(x) = x2(x – 100)(x – 200). then determine the multiplicity at each zero. state whether the graph will touch or cross the x-axis at the zero.
a. x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = –200, multiplicity = 1, cross

b. x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross

c. x = 0, multiplicity = 2, cross
x = 100, multiplicity = 1, touch
x = 200, multiplicity = 1, touch

d. x = 0, multiplicity = 2, touch
x = 100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

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