Siince 2nd equation is already equal a, subsitute b-2 for a in the other equation
b-2-3b=28
-2-2b=28
add 2 to both sides
-2b=30
divide both sides by -2
b=-15
sub back
a=b-2
a=-15-2
a=-17
(a,b)
(-17,-15)
3rd choice
Answer:
As number of gallons of gas minus 9 leaves 3 gallons, denote g as number of gallons: g - 9 >=3.
Then g>= 12
Answer:
see explanation
Step-by-step explanation:
g(x) - f(x)
x - 3 - (3x + 2) ← distribute parenthesis by - 1
= x - 3 - 3x - 2 ← collect like terms
= - 2x - 5
There are no restrictions on the domain of - 2x - 5, thus
domain is all real numbers
Answer:
I believe it is the second answer;
F(x)= (1/2)(2)^x
Step-by-step explanation:
1. the initial value is 0.5, so the first number will have to be 1/2, and it is increasing so the value of <em>b</em> must be above 1.
2. Through process of elimination, you can determine that the second equation matches the graph.
I hoped this helped! Please comment if you have any questions :)
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
