Answer:
<em>x = 10</em>
Step-by-step explanation:
These angles are <em>same side interior angles</em>.
This means that (11x + 10) + (10x - 40) = 180
Solve for x:
11x + 10 + 10x - 40 = 180
21x - 30 = 180
+30 +30
21x = 210
/21 /21
<em>x = 10</em>
To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
First we have parentheses.
-4(3 - 1) + 2
3 - 1 = 2
-4(2) + 2
We have no exponents so go on to multiplication
-4(2) + 2
-4 * 2 = -8
-8 + 2
No division so go to addition
-8 + 2
When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number (disregarding the signs). In this case the largest number is 8 and its sign is negative. Your answer will have a negative sign.
-6
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The maximum revenue is 16000 dollars (at p = 40)
Step-by-step explanation:
One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.
Given function is:

Taking derivative wrt p

Now putting R'(p) = 0

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40
Putting p=40 in function

The maximum revenue is 16000 dollars (at p = 40)