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The number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).
Given an inequality 3(8-4x)<6(x-5).
We have to find the solution set for the given inequality.
<h3>What is inequality?</h3>
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
⇒ 24-12x<6x-30
⇒ 24+30<6x+12x
⇒ 54<18x
⇒ x>54/18
⇒ x>3
Hence, the number line which represents the solution set for inequality 3(8-4x)<6(x-5) is (3,inf).
That is starting from 3 and goes up to infinity.
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Answer:
The answer is -22x² - 14x.
Step-by-step explanation:
You have to eliminate the brackets by multiplying :
Next you can simplify but there is no common terms in this expression so it remains the same.
Check the picture below
bear in mind that, the angle is in degrees, thus, when getting the sine, make sure your calculator is in Degree mode
bear in mind that, the angle is in degrees, thus, when getting the sine, make sure your calculator is in Degree mode
Using conversion of units, it is found that Dylan needs another 1.29 ounces of cheese.
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- The conversion of units are applied using a rule of three.
- Each gram has 0.035274 ounces. How many ounces are there in 150 grams?
1 gram - 0.035274 ounces
150 grams - x ounces
Applying cross multiplication:
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- Dylan has 4 ounces of cheddar cheese.
- He needs 5.29 ounces.
- Thus, he needs another 5.29 - 4 = 1.29 ounces.
A similar problem is given at brainly.com/question/13251881