q = 2, evaluate left parenthesis 34 plus 18 times q right parenthesis minus left parenthesis 5 Superscript q baseline plus 7 right parenthesis
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Divide: Left Parenthesis x-squared minus 10 x plus 30 Right Parenthesis divided by Left Parenthesis x minus 5 Right Parenthesis.
To divide this expression, we can use long division or synthetic division. Here is the long division method:
x - 5 | x^2 - 10x + 30
-x^2 + 5x
---------------
-5x + 30
-(-5x + 25)
---------
5
Therefore, (x^2 - 10x + 30) / (x - 5) = x - 5 + 5/(x - 5).
Divide: Left Parenthesis x-cubed minus 20 x plus 16 Right Parenthesis divided by Left Parenthesis x minus 4 Right Parenthesis
Divide: Left Parenthesis negative 4 x-cubed plus 35 x plus 25 Right Parenthesis divided by Left Parenthesis negative 2 x minus 5 Right Parenthesis
To solve the first problem, we can use long division or synthetic division. Here is the long division method:
x^2 + 4x - 4
------------------------
x - 4 | x^3 + 0x^2 - 20x + 16
-x^3 + 4x^2
---------------
-4x^2 - 20x
+4x^2 - 16x
---------------
0
Therefore, (x^3 - 20x + 16)/(x - 4) = x^2 + 4x - 4.
To solve the second problem, we can use synthetic division:
2x + 5 | -4x^3 + 0x^2 + 35x + 25
-8x^2 - 10x
-----------------
10x + 25
-10x - 25
------------
0
Therefore, (-4x^3 + 35x + 25)/(-2x - 5) = 2x^2 - 5.
To evaluate this expression, you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step by step:
1. Evaluate the expression inside the parentheses: 34 + 18 * q. Since q equals 2, we substitute q with 2 in the expression: 34 + 18 * 2.
2. Perform the multiplication: 18 * 2 equals 36.
3. Replace the expression inside the parentheses with the multiplication result: 34 + 36.
4. Add the numbers: 34 + 36 equals 70.
5. Now evaluate the second part of the expression: 5^q + 7. Again, substitute q with 2: 5^2 + 7.
6. Calculate the exponent: 5^2 equals 25.
7. Finally, add the exponent result to 7: 25 + 7 equals 32.
To summarize, the value of the expression (34 + 18 * q) - (5^q + 7) when q equals 2 is 70 - 32, which equals 38.
−6−(−6)+7+(−4)+(−1)minus, 6, minus, left parenthesis, minus, 6, right parenthesis, plus, 7, plus, left parenthesis, minus, 4, right parenthesis, plus, left parenthesis, minus, 1, right parenthesis.
−2+7+(−4)minus, 2, plus, 7, plus, left parenthesis, minus, 4, right parenthesis. hello fellow khan user but the answer is 1.
8−(−3)=8, minus, left parenthesis, minus, 3, right parenthesis, equals
Did you mean ?
(34 + 18q) - (5^q + 7) , don't know where the "baseline" stuff comes in
Just type it normally from now on.
so when q=2
(34 + 18(2)) - (5^2 + 7)
= 70 - 32
= 38