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3 years ago

How can you distinguish if the solution is one value, all real numbers, or no solutions?

Mathematics

1 answer:

murzikaleks [220]3 years ago

8 0

Answer:

If x can only have one answer, then the solution is one value. If x can be all real numbers, then the solution is all real numbers. And if x doesn't have an answer then it has no solution.

Step-by-step explanation:

For example:

One value: 7 + x= 10 => x= 3

All real numbers: 0x=0 => x can be all real numbers

No solutions: 7x=6x => no solutions

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The explicit rule for a sequence is an=5(−2)^n−1

Murrr4er [49]

Answer:

3) $a_n=-2a_{n-1}$ , $a_1=5$

Step-by-step explanation:

Given that the explicit rule for a sequence is $a_n=5(-2)^{n-1}$ .

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) $a_n=-2a_{n+1}$ , $a_1=5$

2) $a_n=-5a_{n+1}$ , $a_1=2$

3) $a_n=-2a_{n-1}$ , $a_1=5$

4) $a_n=-5a_{n-1}$ , $a_1=2$

Plug n=1 into given formula to get first term

$a_n=5(-2)^{n-1}$

$a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5$

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) $a_n=-2a_{n-1}$ , $a_1=5$

7 0

3 years ago

Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?

dexar [7]

Answer:42 dollars

Step-by-step explanation:

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3 years ago

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What is 28 divided by 4?

koban [17]

The answer is seven.

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A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole numb

Rudiy27

I think this is.. ↓

grows 4% at every year

after 7 years ↓↓

4 × 7 = 28

A town has a population of 5000

28% of 5000 = 1400

5000 + 1400 = 6400

after 7 years, town has 6400 population = after 7 year grows 28%

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3 years ago

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Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!

timama [110]

Hi, there

<u>Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?</u>

Explanation:

1.65 x 21

Answer 34.65

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