Answer:
-5, multiplicity 3; +9, multiplicity 2; -1
Step-by-step explanation:
The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.
f(x) = (x+5)^3(x-9)^2(x+1) has roots ...
- -5 with multiplicity 3
- +9 with multiplicity 2
- -1
Ages of Dan and Cary are 29 and 33 respectively.
<u>Step-by-step explanation:</u>
Step 1:
Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.
In 7 years, sum of their ages = 76
⇒ (x + 7) + (x + 4 + 7) = 76
⇒ 2x + 18 = 76
⇒ 2x = 58
⇒ x = 29
Step 2:
Calculate age of Cary.
⇒ x + 4 = 33
This is your answer:
<span>Trapezoid
JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid
JKLM to trapezoid J′K′L′M′ by reflecting it across the line y = x and
then translating it 1 unit up, which is a sequence of rigid motions.</span>
Answer: The answer would be j=19
Answer:
47.4%
Step-by-step explanation:
It has to be below 50% because those weights fall at or below the average.