Answer:
x is 2
Step-by-step explanation:
Answer:
-19 = x
Step-by-step explanation:
Step 1: Write equation
-4(x + 1) - 3 = -3(x - 4)
Step 2: Solve for <em>x</em>
<u>Distribute:</u> -4x - 4 - 3 = -3x + 12
<u>Combine like terms:</u> -4x - 7 = -3x + 12
<u>Add 4x on both sides:</u> -7 = x + 12
<u>Subtract 12 on both sides:</u> -19 = x
Let w represent the width of the rectangle in cm. Then its length in cm is (3w+9). The perimeter is the sum of two lengths and two widths, so is ...
... 418 = 2(w + (3w+9))
... 209 = 4w +9 . . . . . . divide by 2, collect terms
... 200 = 4w . . . . . . . . subtract 9
... 50 = w . . . . . . . . . . divide by 4
... length = 3w+9 = 3·50 +9 = 159
The dimensions of this piece of land are 159 cm by 50 cm.
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by

where x is the number of produced products.
The revenue function is

With both equations, we can know the profit function as



For the firm to have positive profits, it has to produce x articles with the condition

Or, equivalently

Solving for x

Thus

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Answer:

Step-by-step explanation:
*Move terms to the left and set equal to zero:
4㏒(√x) - ㏒(3x) - ㏒(x²) = 0
*simplify each term:
㏒(x²) - ㏒(3x) - ㏒(x²)
㏒(x²÷x²) -㏒(3x)
㏒(x²÷x² / 3x)
*cancel common factor x²:
㏒(
)
*rewrite to solve for x :
10⁰ = 
1 = 
1 · x =
· x
1x = 
*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:
x = 