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grigory [225]
3 years ago
8

Algebra 2A Help ! Tadakimasu ~

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
Function is p(x)=(x-4)^5(x^2-16)(x^2-5x+4)(x^3-64)

first factor into (x-r1)(x-r2)... form

p(x)=(x-4)^5(x-4)(x+4)(x-4)(x-1)(x-4)(x^2+4x+16)
group the like ones
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)

multiplicity is how many times the root repeats in the function
for a root r₁, the root r₁ multiplicity 1 would be (x-r₁)^1, multility 2 would be (x-r₁)^2 

so

p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the  root 1 and has multiplity 1
(x^2+4x+16) is not on the real plane, but the roots are -2+2i√3 and -2-2i√3, each multiplicity 1 (but don't count them because they aren't real

baseically

(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the  root 1 and has multiplity 1

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A gardener is planting two types of trees:
Elden [556K]

Answer: 2.4 years or 28.8 months

6 0
2 years ago
A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce
Scilla [17]

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0
1 year ago
A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk​ camera, a basic came
saul85 [17]

Answer:

The percentage of customers who buy an extended warranty is 33%.

Step-by-step explanation:

In this problem, we have these following percentages.

35% of the customers select the basic camera.

This also means that:

65% of the customers select the deluxe version. (Since you can buy only two versions of the hard disk camera and the sum of the percentages is 100%).

20% of those who select the basic camera also purchase the extended warranty.

40% of those who select the deluxe version also purchase the extended warranty.

What is the percentage of customers who buy an extened warranty?

P = P_{1} + P_{2}

P_{1} is the percentage of those who buy the basic version with the extended warranty. So it is 20% of 35%. So

P_{1} = 0.20*0.35 = 0.07

P_{2} is the percentage of those who buy the deluxe version with the extended warranty. So it is 40% of 65%. So

P_{2} = 0.40*0.65 = 0.26

P = P_{1} + P_{2} = 0.07 + 0.26 = 0.33

The percentage of customers who buy an extended warranty is 33%.

3 0
3 years ago
Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a perc
bazaltina [42]

I'll do the first two problems to get you started. All problems shown will use the same formula.

===========================================

Problem 4

The formula to use is

C = 100*(B-A)/A

where

A = old value

B = new value

C = percent change

In this case, A = 12 and B = 36, so

C = 100*(B-A)/A

C = 100*(36-12)/12

C = 100*(24/12)

C = 100*2

C = 200%

We have a 200% increase. It is an increase because the value of C is positive.

===========================================

Problem 5

Use the same formula as in the previous problem. This time,

A = 75 is the old value

B = 25 is the new value

C = 100*(B-A)/A

C = 100*(25-75)/75

C = 100*(-50/75)

C = 100*(-2/3)

C = -66.6667%

C = -66.7%

The value of C is negative, so we have a percent decrease of roughly 66.7%

8 0
2 years ago
Find the equation the line with the given information below:<br> slope = 3, y-intercept = (0, 2).
Olenka [21]

Answer:

y=3x+2

Step-by-step explanation:

y=mx+b

b=2

m=3

plug in

y=3x+2

4 0
2 years ago
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