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leonid [27]
3 years ago
13

(Score for Question : __of 5 points)

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

(a) 15/3 = 100/x

(b) There are 20 toddlers in the class.

Step-by-step explanation:

(a)

The total number of students is 100% of the students.

Let the total number of students be x.

15% of students is to 3 as 100% of students is to x.

15/3 = 100/x

(b)

15/3 = 100/x

Cross multiply the equation.

15x = 3 * 100

15x = 300

Divide both sides by 15.

x = 20

Answer: There are 20 toddlers in the class.

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HELPPP ASAPPP!! 50 POINTS!!!
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Answer:

Part 1)

The possible multiplicities are:

x=-7 multiplicity 1

x=-3 multiplicity 3

x=2 multiplicity 1

x=5 multiplicity 2

Part 2

The factored form is

p(x)=(x+7)(x+3)^3(x-2)(x-5)^2

Step-by-step explanation:

Part 1.

The missing diagram is shown in the attachment.

The zeroes of the seventh degree polynomial are the x-intercepts of the graph.

From the graph, we have x-intercepts at:

x=-7, x=-3,   x=2, and x=5.

The multiplicities tell us how many times a root repeats.

Also, even multiplicities will not cross their x-intercept, while odd multiplicities cross their x-intercepts.

The possible multiplicities are:

x=-7 multiplicity 1

x=-3 multiplicity 3

x=2 multiplicity 1

x=5 multiplicity 2

Note that the total multiplicity must equate the degree.

Part 2)

According to the factor theorem, if x=a is a zero of p(x), then (x-a) is a factor.

Using the multiplicities , we can write the factors as:

x+7

(x+3)^3

(x-2)^1

(x-5)^2

Therefore the completely factored form of this seventh degree polynomial is p(x)=(x+7)(x+3)^3(x-2)(x-5)^2

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Step-by-step explanation:

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