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1 year ago

Find the quadratic equation whose roots are -3 and 1

Mathematics

1 answer:

Dmitrij [34]1 year ago

8 0

Answer:

x²+2x-3=0

According to Vieta's formula:

x²-(Sum of roots)x+(product of roots)=0

Sum of roots=-3+1=-2

Product of roots=-3×1=-3

The equation is x²-(-2)x+(-3)=0

x²+2x-3=0

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.

mart [117]

Answer:

Decay Problem.

Decay rate, r = 0.014
Initial Amount =120,000

$P(t)=120000(0.986)^t$
P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

$P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time$

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

Since the population decreases, it is a Decay Problem.

Decay rate, r=1.4% =0.014
Initial Amount =120,000

Therefore, the function is:

$P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t$

When t=10 years

$P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)$

8 0

2 years ago

Need help this please!

AnnZ [28]

Answer:

My earlier answer was deleted, so I'm reposting. The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility. I was unable to properly label the title and axes on my chart, so modify these properties.

8 0

1 year ago

mr. pollack's biology class observed the growth of pea plants. if 5 pea plants grew to 30 cm and 15 pea plants grew to 50 cm, wh

rodikova [14]

U do 5 times 30 and get 150 then take 15 times 50 and get 750 last take 750 plus 150 and u get 900 cm

7 0

2 years ago

Someone please help me answer this

Talja [164]

84 is the answer I think

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2 years ago

Read 2 more answers

Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3

Leona [35]

we are ratio as

$=\frac{3}{7}$

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

$=\frac{3\times 5}{7\times 5}$

$=\frac{15}{7\times 5}$

$=\frac{15}{35}$

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0

2 years ago

Find the quadratic equation whose roots are -3 and 1​

Find the quadratic equation whose roots are -3 and 1