Answer:
To maximize profit the company will have to produce 30 bicycles and 60 tricycles
Step-by-step explanation:
yes this is a linear programming program
let us represent bicycles as x
and tricycles as y
the objective function is
maximize
17x+21y=P
constraint
20m+30n=90
"At most twice as many tricycles as bicycles can be made in a day"
so n=2
let us find x when the company produces maximum y
so we have to substitute y=2 in the constraint
20m+30(2)=90
20m+60=90
divide through by 10 we have
2m+6=9
2m=9-6
2m=3
divide through by 2 we have
m=1.5
we can now see that at maximum
the company produces
tricycles=20m
tricycles=20(1.5)
tricycles= 30
and
bicycles= 30m
bicycles= 30(2)
bicycles= 60
now let us substitute x=30 and y =60 in the objective function we have
17(30)+21(60)=P
510+1260=P
P=$1770
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
Step-by-step explanation:
interchanging the variables
x = 5y^2 + 10
5y^2 +10 = x
5y^2 = x - 10
dividing by 5
5y^2/5 = x/5 + -10/5
y^2 = x/5 + - 10/5
y^2 = x/5 - 2
y = 5 (x-10) 0/5 (sq.rt)
g(5x^2 + 10) = 5x/5
g(5x^2 + 10) = x
f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10
I hope this helps. If you have any more questions message me and Id be happy to explain
Based on the data set shown, which of the following is a true statement? -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
babymother [125]
<span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
Median=1
</span><span>Mean=(-1+-1+0+1+1+1+1+2+2+2+3)/11=11/11=1
Mode=1
So the first option is true
Answer: mean=mode</span>
Answer:
4%
Step-by-step explanation:
Tax rate=(0. 12)/(2.79)*100=4%