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3 years ago

Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

Mathematics

1 answer:

yuradex [85]3 years ago

8 0

Answer:

The answer is the option D

$x\leq 7/13$

Step-by-step explanation:

we have

$-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})$

Multiply by $-5$ both sides

$6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x$

Rewrite

$26x\leq 14\\x\leq 14/26\\ x\leq 7/13$

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Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1

krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

$a_{n} =4-3(n-1)$

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, $a_{n} =a+(n-1)d$

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence for nth term

$a_{n} =4-3(n-1)$

The domain for n is All integers where n ≥ 1.

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2 years ago

What values will complete this table to show direct variation? Help! And quick!!!

vlada-n [284]

Answer: 0 -4 and -8

Step-by-step explanation:

If you divide -12/-3=4 and 4/4=1

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4 years ago

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Solve for b. 9b = -6 + 10b

Aleksandr-060686 [28]

Answer:

b=6

Step-by-step explanation:

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3 years ago

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Does anyone know what the answer?

11111nata11111 [884]

Answer:

x = 7

Step-by-step explanation:

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

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3400 dollars is placed in an account with an annual interest rate of 8. 25%. How much will be in the account after 25 years, to

OLEGan [10]

The final amount in the account after 25 years is $24670.42.

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Given that 3400 dollars are placed in an account with an annual interest rate of 8.25% for 25 years.

The final amount in the account is calculated by the formula given below.

$A = P ( 1 + \dfrac {R}{100})^T$

Where A is the final amount, P is the initial principal balance, R is the interest rate, T is the time period.

The final amount is given below.

$A = 3400 ( 1 + \dfrac {8.25}{100})^{25}$

$A = 3400 (7.256005874)$

$A = 24670.41997= 24570.42$

Hence we can conclude that the final amount in the account after 25 years is $24670.42.

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