9514 1404 393
Answer:
1. b. The common difference is 0.39
2. no good answer (Zach's method is exponential; Victoria's is linear)
Step-by-step explanation:
1. The differences in mileage are ...
24.39 -24 = 0.39
24.78 -24.39 = 0.39
25.17 -24.78 = 0.39
The common difference is 0.39.
____
2. Zach's monthly times are ...
10, 20, 40, 80
The differences are ...
10, 20, 40
The ratios are ...
20/10 = 40/20 = 80/40 = 2
Zach's times have a common ratio, so are exponential.
__
Victoria's monthly times are ...
35, 50, 65, 80
The differences are ...
15, 15, 15
Victoria's times have a common difference, so are linear.
__
The choices are ...
a. both exponential; common factor . . . . correct for Zach; not for Victoria
b. Zach's is linear (has equal factor) . . . incorrect
c. both exponential; common difference . . . incorrect
d. Victoria's is linear . . . . correct for Victoria
Choice D describes Victoria's method. Choice A is correct regarding Zach's method, but incorrect regarding Victoria's.
Choices B and C are not self-consistent, so are incorrect on their face.
There is no good choice.
Just set them equal to each other
2x-2= x+3
2x-5=x
-5= -x
X=5
Hope it helps
Answer:
Minimize: Cost = 40X+35Y
Subject to: 2X + 2Y ≥ 12
5X + 3Y ≥ 15
Step-by-step explanation:
To formulate a linear programming model we need to identify the variables of decision, the objective functions and the constraints.
So, the variables of decision are the quantity of every vitamin mix and we are going to call:
X: The quantity of vitamin mix 1
Y: The quantity of vitamin mix 2
Our objective function is going to be minimize the cost of the both mixes, so, the objective function is:
Minimize Cost = 40X + 35Y
Because vitamin mix 1 cost $40 and vitamin mix 2 cost $35
Finally, the constraints are defined by the following sentence: both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Ot means that we have a constraint for vitamin B and a constraint for vitamin C.
Then if Vitamin mix 1 contains 2 units of vitamin B and vitamin mix 2 contain 2 units of vitamin B, the constraint associated to vitamin B is:
2X + 2Y ≥ 12
And, if Vitamin mix 1 contains 5 units of vitamin C and vitamin mix 2 contain 3 units of vitamin C, The constraint associated to vitamin C is:
5X + 3Y ≥ 15
So, the linear programing model is:
Minimize: Cost = 40X+35Y
Subject to: 2X + 2Y ≥ 12
5X + 3Y ≥ 15
Answer: 2.)non function 3.)non function 4.) function 5.)non function 6.) non function 7.)function 8.)non function PART B 1.)non function 2.)function 3.) function
Step-by-step explanation: a function is when the domain (x) all each have one answer like (-2.6)(7,4)(8,6) there can be repeating ranges (y) just not domains.
A non function is when one domain (x) has multiple ranges(y) like (7,2)(-9,6)(7,9) the 7 repeats twice giving it two ranges, which causes it to be non functional. hope that helped :))
I am assuming that the whole 3x - 6 in the fraction is the numerator
the this simplifies to 3x (3x - 6)
= 9x^2 - 18x (C)
