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Nina [5.8K]
2 years ago
6

Anna made an error in determining the polynomial equation of smallest degree whose roots are -4,-2, -

Mathematics
1 answer:
nalin [4]2 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Ana started the work nicely by multiplying out factors to get:\

(x+4)(x+2)(2x+1)(x-2)=0

She multiplied (x+2)(x-2) correctly using difference of two squares to get: x^2-4

Unfortunately: She made a mistake in multiplying (x+4)(2x+1) she mistakenly got x^2+9x+4 instead of 2x^2+9x+4. <em>She left out the coefficient of 2.</em>

Therefore the second step should have been:

(x^2-4)(2x^2+9x+4)

The next step will now be:

2x^4+9x^3+4x^2-8x^4-36x-16=0

This simplifies to

2x^4+9x^3-x^4-36x-16=0

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Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students
UNO [17]

Answer:

1.  Group C; 2.  Group B; 3.  Group D; 4.  Group A

Step-by-step explanation:

These equations are in the form

y=-4.9t^2+v_0t+h_0\\\text{or}\\y=-16t^2+v_0t+h_0, where v₀ is the initial velocity and h₀ is the initial height.

The first equation has no value for v₀ and a value of 19 for h₀.  This means there is no velocity, so the ball is dropped, and since the initial height is 19, it is dropped from 19 meters.  This makes it group C.

The second equation has a value of 50 for v₀ and no value for h₀.  This means the initial velocity is 50 and there is no initial height.  This makes it group B.

The third equation has no value for v₀ and a value of 50 for h₀.  This means there is no initial velocity, so the ball is being dropped, and the initial height is 50.  This makes it group D.

The fourth equation has a value of 19 for v₀ and no value for h₀.  This means the initial velocity is 19 and there is no initial height.  This makes it group A.

7 0
2 years ago
Read 2 more answers
In Exercises 15-18, find the measure of the exterior angle.​
valina [46]

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

(2x-2)\°=x\°+45\°

solve for x

2x-x=45+2

x=47\°

Find the measure of the exterior angle

(2x-2)\°=(2(47)-2)=92\°

6 0
2 years ago
A rectangular lot is bounded on one side by a river and on the other three sides by a total of 80m of fencing. Find the dimensio
vova2212 [387]
Hello,

Let 's a the width,
b the heigth

2a+b=80==>b=80-2a

Area=A(a,b)=a*b=a*(80-2a)
=-2a²+80a
=-2(a²-2*20a+20²-20²)
=-2(a-20)² +800
Area is maxi if a=20 and area max=800


5 0
2 years ago
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterfl
MrRa [10]

Incomple question. However, here's the remaining part of the question:

14

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

Meadow Fritillary

Variegated Fritillary

Zebra Swallowtail

Eastern-Tailed Blue

10

170

<u>Options</u>:

A) All butterfly populations are steadily decreasing.

B)All butterfly populations were larger than usual in 2010.

C)The Eastern-Tailed Blue butterfly is more common than the others.

D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

<u>C</u>

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.

5 0
2 years ago
Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
Darya [45]

Answer:

Which expression is equal to ? The correct answer is B.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/1312867-which-expression-is-equivalent-to-rootindex-3-startroot-64-a.html

8 0
2 years ago
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