7(x+3)
= 7x+ 7*3 (distributive property)
= 7x+ 21.
The final answer is 7x+21~
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
ArrayAn arrangement of objects in equal rowscolumna vertical group of items often found in an arraycommutative property<span>two factors can be multiplied in either order to find the product
ex.) 3 x 4 = 12
ex.) 4 x 3 = 12</span>distributive property<span>To multiply a sum by a number, multiply each addend by the number outside the parentheses.
ex. ) 12 x 3 = (10 x 3) + (2 x 3)</span>divisionAn operation in which we make parts out of a number, which are equalequationA mathematical sentence that contains an equals sign.factorone of two or more numbers, that when multiplied together produce a given productmethoda way of doing somethingmultiplicationAn operation used for the shortening of repeated additionnumber bonda model showing part, part, whole relationshipsnumber of groupsfactor in a multiplication problem that refers to the total equal groupsnumber sentenceA complete sentence that uses numbers and symbols instead of wordspictureillustrate, show, represent, portray, or depictquotientthe answer when one number is divided by another ex.) 14 / 2 = 7repeated additionadding equal groups together ex.) 2 + 2 + 2 + 2rowa horizontal group of items often found in an arraysize of groupsfactor in a multiplication problem that refers to the how many in each grouptape diagramA drawing that looks like a segment of tape, used to illustrate number relationships.unitone segment of a partitioned tape diagramProductThe answer to a multiplication problemRepresents<span>What the number you found stands for in your problem.</span>
Answer:
or 
Step-by-step explanation:
By definition the function
has a domain of
.
Since the function is not defined for the values of x negative or equal to zero.
The range of this function is all the real numbers.
Since
when
and
when 
In this case we have the function 
Therefore since the log function is squared then its range is now 
85/5
(50+35)/5
50/5 + 35/5
10+7=17