Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
<h2>2 is the right answer.</h2>
Answer:
20/25
Step-by-step explanation:
to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25
Answer:
The minimum surface area of the container is 276.791 square units.
Step-by-step explanation:
Let be 
, 
, 
. The first and second derivatives of such function are, respectively:
First derivative
Second derivative
The critical values of 
are determined by equalizing first derivative to zero and solving it: (First Derivative Test)
![r = \sqrt[3]{\frac{1000}{2\pi} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B1000%7D%7B2%5Cpi%7D%20%7D)
(since radius is a positive variable)
To determine if critical value leads to an absolute minimum, this input must be checked in the second derivative expression: ()
The critical value leads to an absolute minimum, since value of the second derivative is positive.
Finally, the minimum surface area of the container is:
The minimum surface area of the container is 276.791 square units.
Answer:
A. 4x² + 9x/4 - 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x/4 - 3
g(x) = 4x² + 2x - 4
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute in functions: (f + g)(x) = x/4 - 3 + 4x² + 2x - 4
- Combine like terms: (f + g)(x) = 4x² + 9x/4 - 7
