Hey!
Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction. To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.
<em>Original Fraction :</em>

<em>New Fraction {Changed by Conversion} :</em>

Now that we've successfully done that we'll have to change the equation.
<em>Old Equation :</em>

÷

= ?
<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>

·

= ?
Now we multiply straight across.
<em>Old Equation :</em>

·

= ?
<em>Solved :</em>

Almost done!
Now we have to simplify the fraction.
<em>Old Fraction :</em>

<em>New Fraction {Changed by Simplification} :</em>

Now just convert it to a whole number by removing the fraction line and the number, and that's it!
<span><em>So,

÷

equals</em></span>
15.
Hope this helps!
- Lindsey Frazier ♥
number - n
Twice a number - 2n
Seven times the number - 7n
2n = 7n +35
7n-2n = -35
5n = -35
n = - 7
Check:
2(-7) = 7(-7) +35
-14 = -49 + 35
-14 = -14 True
The number is (- 7).
<span>Simplifying
w + -11 = 1.3
Reorder the terms:
-11 + w = 1.3
Solving
-11 + w = 1.3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + w = 1.3 + 11
Combine like terms: -11 + 11 = 0
0 + w = 1.3 + 11
w = 1.3 + 11
Combine like terms: 1.3 + 11 = 12.3
w = 12.3
Simplifying
w = 12.3 <--- (Answer)
Happy studying ^-^</span>
Answer:
f(2x + 4) = -4x² - 16x - 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Expanding (FOIL)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x²
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
- Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
- (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
- Combine like terms: f(2x + 4) = -4x² -16x - 15
Answer:
35 cuh
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