Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
1 answer:
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 perimeter is cm.
Step-by-step explanation:
Perimeter is found by adding all sides of the triangle together. So, this is what we need to find:
- Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.
Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7: 7/7 = 1, 63/7 = 9, 28/7 = 4.
Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.
remains the same;
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. Now they are like radicals and can be added!
Answer:
see below
Step-by-step explanation:
Multiply by 2 and expand the right side:
2A = b1h +b2h
Subtract the b2 term:
2A -b2h = b1h
Divide by h:
b1 = (2A -b2h)/h
