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3 years ago

What are the real or imaginary solutions of the polynomial x^3=9x

Mathematics

1 answer:

dem82 [27]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

x = 0, +\-3

Discussion:

x^3 = 9x => subtract 9x from both sides

x^3 - 9x = 0 => factor x from both terms

x(x^2-9) = 0 => x = 0 or x^2 - 9 = 0

x = 0, +\-3

Thank you,

MrB

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Please help with 6 and 7

Maru [420]

Answer:

6a) i- 2hrs 36mins ii- 3hrs 12mins

b) car A≈ 76.9km/h car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km car B=60km

c) 30km

d) car A≈36mins car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6

∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

155km-125km=30km

d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

5 0

3 years ago

Question 1

Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

$Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\$

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by 10^{3}=1000, to get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each 1000 people)

step 2

Replace

$S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000$

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

$(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\$

the number of deaths have increased (from 210 to 250)

Have a great day

5 0

3 years ago

In times what equals 28,21,60,48,24,45

yanalaym [24]

I would say 1 but I feel like that wouldn't help you and that's all I know, plus I don't want to look it up because of the policy. I wanna help tho, so that's all I'm gonna say (please don't get mad at me)

8 0

3 years ago

Read 2 more answers

Y=99.99+23.75(x-1) as a Y=ax+b equation

Hatshy [7]

Answer:

$y = 23.75x + 76.24$