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Alekssandra [29.7K]
1 year ago
6

Write a quadratic function in standard form that passes through (-8, 0), (-2, 0), and (-6,8).

Mathematics
1 answer:
Pavlova-9 [17]1 year ago
3 0

Answer:

-10xsquared-x+38

Step-by-step explanation:

so,

general eqn of quadratic equation is,

axsquared+bx+c=y

where,

x and y are exchanged by coordinates given in qn

1,64a-8b+c=0

2,4a-2b+c=0

or c=2b-4a

60a-6b=0

3,36a-6b+c=8

32a-4b=8

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Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
I don’t understand how to do this question please help and explain thank you!
Karolina [17]
Here use this information and fill the table....:)

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xxMikexx [17]

Answer:

1.6\ hours

Step-by-step explanation:

we know that

She rides for 11.2 kilometers at a speed of 7 kilometers per hour

Using proportion

Find how many hours does she ride

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PLEASE HELP!!!!!!!!!!! Kim wants to know if the number of words on a page in her math book is generally more than the number of
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It's D, because the mean doesn't matter as much if it's only taken in a small variability. The mean was selected from 25 random pages in the book, that is why it is right.

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