Please please help me
2 answers:
<h2>{<u>How to Solve</u>}: [PEMDAS]</h2>
To solve these types of problems you need to know the basic rule of pemdas.
- (P)arentheses
- (E)xponents
- (M)ultiplication
- (D)ivision
- (A)ddition
- (S)ubtraction
Multiplication/division and addition/subtraction are in no particular order; they are solved from left to right. Knowing the rule of pemdas, you can then solve these types of problems.
I have attached a picture to hopefully help you see how these problems can be solved. I solved the problems using pemdas step-by-step. Feel free to ask any questions you have in the comments! :)
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<h2>{<u>Explanation</u>}:</h2>(29 - 5) ÷ 2 - 6²
1. Pemdas tells you to solve inside the (p)arentheses first, so solve (29 - 5) then rewrite the expression.
(24) ÷ 2 - 6²
2. After solving inside all of the parentheses, pemdas then tells you to solve for the (e)xponents. Solve where 6 is being carried to the power of 2 and then rewrite the expression.
(24) ÷ 2 - (36)
3. The next step in pemdas is to divide before subtracting, since those are the only two operations left. Divide 24 by 2 and then rewrite your expression.
(12) - (36)
4. The last and only step is to subtract 36 from 12. After doing so you will get your final answer.
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(9 - 2)² + (20 ÷ 5)
1. Pemdas tells us to solve inside the parentheses first, so solve inside both of the parentheses and then rewrite the expression.
(7)² + (4)
2. The next step is to solve for the exponents. Solve 7 carried to the power of 2 and then rewrite the expression.
(49) + (4)
3. The last and final step is to add the two terms together, 49 and 4. After doing so you will be left with your final answer.
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(7 × 6 + 8²) + 2
1. Pemdas tells us to solve inside the parentheses first. There are multiple operations being done inside of the parentheses, so the first operation we will complete is exponents because that is what pemdas tells us to do. Solve 8 carried to the power of 2, then rewrite the expression.
(7 × 6 + 64) + 2
2. Now we can multiply 7 and 6 (because multiplication comes before addition) and then rewrite the expression.
(42 + 64) + 2
3. Solve inside the parentheses by adding 42 and 64. Then rewrite the expression.
(106) + 2
4. The fourth and final step is to add the two terms, 106 and 2, together. Then you will be left with your final answer.
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<h3>Hope this helped you! If you have any questions please feel free to ask me down in the comment section below :)</h3>__________________________________________________________
<h2>{<u>Answers</u>}:</h2>You might be interested in
Hi there,
This is the original inequality equation:
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
Now, we multiply both sides by x + 1:
Then, we multiply both sides by x - 1:
Next, we subtract x² from both sides:
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1 </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1 </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0 </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1 </span><span>(Works in original inequality)
Therefore, the answer to your query is -1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
This is the original inequality equation:
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
Now, we multiply both sides by x + 1:
Then, we multiply both sides by x - 1:
Next, we subtract x² from both sides:
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1 </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1 </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0 </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1 </span><span>(Works in original inequality)
Therefore, the answer to your query is -1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>