Answer:
y=f(x+9)-5
Step-by-step explanation:
to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:
y=f(x+9)
then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:
y=f(x)-5
now, you would put that all together and it would look like this:
y = f (x+9) -5
i hope this helps.
Answer:
The dilution factor is the ratio of solute to solvent.
Step-by-step explanation:
Answer:
The boat is 8.4m out of the sea
Step-by-step explanation:
Kindly find attached rough sketch of the problem.
From the sketch we can see that the observer from the cliff and the horizontal distance forms a right angle triangle
Let the horizontal distance be x
Let the angle of elevation from the boat be y
Applying sum of angles in a triangle
90+6+y= 180
96+y=180
y=180-96
y= 84°
Applying SOH CAH TOA
Using TOA
Tanθ= opposite /adjacent
Tan 84= 80/x
x= 80/tan 84
x= 80/9.51
x= 8.4m
The two values are examples of zeroes of a function because they will produce an answer of 0 when used as a replacement of a variable.
Answer:
Step-by-step explanation:
350 chocolate 1599 of cookies
Step-by-step explanation:
c= box of chocolates
k=box of coockies
k< 550+3c , so k-3c<550
k+c< 1950
k-3c<550
I will multiply the second by 3
k - 3c < 550
3k +3c < 5850
ADD BOTH
4k < 6400
k < 1600 Cookies should be less than 1600
Since cookies yield more than chocolates , to maximize profit they need to sell the maximum amount of cookies they can
1599 +350= 1949 (less than 1950)
The amount of cookies produced must be no more than 550 boxes plus 3 times the number of chocolates produced.
1599< 3(350) +550= 1050+550=1600)
1599<1600
1599 is at least double of 350 (it could be more than double)