Answer:
Ethan can make 48 possible combinations.
Step-by-step explanation:
Given that Ethan has packed 6 shirts, 4 pairs of pants and 2 pairs of shoes for vacation, to determine how many possible outfit combinations does Ethan have for his trip the following calculation must be performed:
Shirts x pants x shoes = Number of combinations
6 x 4 x 2 = X
24 x 2 = X
48 = X
Therefore, Ethan can make 48 possible combinations.
Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
-(5 - 8x) + 4x = -89
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute negative: -5 + 8x + 4x = -89
- Combine like terms: -5 + 12x = -89
- Isolate <em>x</em> term: 12x = -84
- Isolate <em>x</em>: x = -7
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -(5 - 8(-7)) + 4(-7) = -89
- Multiply: -(5 + 56) - 28 = -89
- Add: -61 - 28 = -89
- Subtract: -89 = -89
Here we see that -89 does indeed equal -89.
∴ x = -7 is the solution to the equation.
Answer:
The answer to the question provided is
1. y = 4x - 3.
2. y = -2x - 2.
<span>Four friends were born on consecutive years.
The sum of their ages is 62. Let's find the age of the youngest friend:
</span><span>Formula:
4x + 6 = 62
=> First is to Subtract 6 from both sides
4x = 56
Then next thing to do is to divide 4 from both sides:
=> x = 14
14 + 14 + 1 + 14 + 2 + 14 + 3 = 62
62 = 62
Thus the youngest age is 14</span>
Answer:
Step-by-step explanation:
The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.
The derivative of a constant is 0.
The derivative of 
is 
. The derivative of 
is 
, for example.
The derivative of the ln function:
If we have:
The derivative is
In this problem, we have that:
So 
and 
So the derivative to this function is
