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snow_tiger [21]
3 years ago
8

a method of solving a system of equations which involves plotting the equations in a coordinate plane and looking for the inters

ection point

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

This method is called graphing.

Step-by-step explanation:

An example is shown below. These lines intersect at point (1.5,-0.5) on the coordinate plane.

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A number divided by 42 has a quotient of 28 with a remainder of 4. What is the number?
Westkost [7]

Answer:

1180

Step-by-step explanation:

(42×28)+4 =x

x= 1180

8 0
2 years ago
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
PLEASE HELP
likoan [24]

Answer:

750

Step-by-step explanation:

https://brainly.in/question/5873877#:~:text=Hence%20750%20students%20are%20enrolled.

3 0
3 years ago
Explain how you can check your solution<br>to the equation. Then check the solution.​
Hoochie [10]

Answer:

To check if a given value is a solution to an equation:

Evaluate the left-hand side expression at the given value to get a number.

Evaluate the right-hand side expression at the given value to get a number.

See if the numbers match.

4 0
3 years ago
Find cos B 52 b 65 a 39​
KonstantinChe [14]

Answer:

hi

Step-by-step explanation:

i think it is 52/65

hope it helps

have a nice day

5 0
3 years ago
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