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2 years ago

How do I solve the inequality, graph the solution set, and write it in interval notation for -8x+3 ≥ 3(6-x)?

Mathematics

1 answer:

Ksju [112]2 years ago

5 0

Answer:

I only know how to solve it, it is -3

Step-by-step explanation:

-8x+3> or = 18-3x

3>or= 5x+18

-15> or = 5x

x>or=-3

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562 ÷ Choose... = 14 R2

Zolol [24]

Answer:

7868

Step-by-step explanation:

⇒ This can be written algebraically (with a variable x) as:

562 ÷ x = 14

⇒ Convert the division as a fraction:

$\frac{562}{x}$ = 14

⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable x:

562 · $\frac{562}{x}$ = 14 · 562

⇒ Simplify:

x = 7868

Answer: 7868

Hope this helps! :)

4 0

2 years ago

yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h

algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0

2 years ago

The cost of toilet paper is 9.99 for 9 rolls, what is the price per roll of toilet paper?

vampirchik [111]

Answer:

$1.11

Step-by-step explanation:

Find the price per roll by dividing the cost by the number of rolls:

9.99/9

= 1.11

So, the price per roll of toilet paper is $1.11

5 0

2 years ago

Read 2 more answers

In a small town, the stray cat population is rapidly increasing. There are currently 20 stray cats, and it is estimated

BigorU [14]

2 years will be 80 cats (20 x 2 = 40 (year 1) and 40 x 2 = 80 (year 2))

3 years will be 160 (80 x 2 = 160)

5 years will be (160 x 2 = 320 (year 4) and 320 x 2 = 640 (year 5)) So 5 years will be 640

7 0

3 years ago

A. f(x) = l-2xl - 3 Domain: {1, 2, 3} Find the range

gizmo_the_mogwai [7]

Hello there!

We are given the function:

$\displaystyle \large{ f(x) = | - 2x| - 3} \\$

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

x = 1

$\displaystyle \large{ f(1) = | - 2(1)| - 3} \\ \displaystyle \large{ f(1) = | - 2| - 3} \\$

Recall that any numbers in absolute value are always positive.

$\displaystyle \large{ f(1) = 2 - 3} \\ \displaystyle \large{ f(1) = - 1} \\$

x = 2

$\displaystyle \large{ f(2) = | - 2(2)| - 3} \\ \displaystyle \large{ f(2) = | - 4 | - 3} \\ \displaystyle \large{ f(2) = 4 - 3} \\ \displaystyle \large{ f(2) = 1}$

x = 3

$\displaystyle \large{ f(3) = | - 2(3)| - 3} \\ \displaystyle \large{ f(3) = | - 6| - 3} \\ \displaystyle \large{ f(3) = 6 - 3} \\ \displaystyle \large{ f(3) = 3}$

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

6 0

2 years ago

How do I solve the inequality, graph the solution set, and write it in interval notation for -8x+3 ≥ 3(6-x)?​

How do I solve the inequality, graph the solution set, and write it in interval notation for -8x+3 ≥ 3(6-x)?