Answer:
see explanation
Step-by-step explanation:
To find the zeros equate g(x) to zero, that is
(x - 2)(3x + 3) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
3x + 3 = 0 ( subtract 3 from both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
Hence
smaller x = - 1
larger x = 2
Let's assume
number of chairs =x
number of tables =y
we are given
Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each
So, we can find objective function as

now, we can find inequalities
A table requires 10 hours and $15 worth of supplies to make
so, total hours to make table =10y
amount spent on table =15y
It takes Gavin 4 hours and $10 worth of supplies to build each chair
so, total hours to make chair =4x
amount spent on chair =10x
total number of hours to make chair and table =4x+10y
Gavin wants to work for no more than 40 hours per week
so, we get

spend no more than $80 on materials
so, we get

so,
objective function:

Constraints:


(a) C = 3.60+2.19d
(b) The cab fare will be $36.45 for a distance of d kilometers.
Step-by-step explanation:
Given,
Charges of Flag Fall = $3.60
Per kilometer charges = $2.19
Let,
d be the total distance.
C be the total cost for d kilometers.
(a) Write down an equation to calculate the cost, C, of cab fare for a distance d kilometres.
Total cost = Charges of flag fall + Per kilometer charges * distance
C = 3.60+2.19d
(b) Use your equation to calculate the cost of cab fare for a distance of 15 km.
Here,
d=15
Putting in Equation

The cab fare will be $36.45 for a distance of d kilometers.
Keywords: distance, addition
Learn more about addition at:
#LearnwithBrainly
3.26d+9.75d-2.65
=13.01d−2.65
Answer:
$15.39
Step-by-step explanation:
The volume of the cylinder is given by ...
V = πr²h = 3.14·(3.5 in)²·(8 in) = 307.72 in³
Since each cubic inch costs $0.05, the total cost is ...
$0.05 · 307.72 ≈ $15.39