Your answer would equal 3.75 Pounds
If the 20 fl.oz bottle contains 125% of the next smallest size, the next smallest bottle should be 4/5 of the 20fl. oz bottle.
That means the smaller bottle has 16 fl. oz (you can check it, multiply 16 by 1.25 and you get 20).
Next, you can find the price as dollars per fluid ounce.
The bigger bottle will be: 5.8/20=$0.29
The smaller bottle: 5.12/16=$0.32
In this case, the larger bottle is the better buy because you pay less per fluid ounce of lotion.
Answer:
D is our choice
Step-by-step explanation:
For the money part we get
4x+6y ≤55
For the gallons we get
x+y ≥9
I will use elimination so multiply the second equation by -4
Remember when multiplying by a negative, the inequality flips
-4x -4y ≤-36
Add the first equation and the last equation together to eliminate x
4x+6y ≤55
-4x -4y ≤-36
----------------------
2y ≤19
Divide by 2
2y/2 ≤19/2
y ≤9.5
Now we need to find x
x+y ≥9
Substitute y in
x+9.5 ≥9
Subtract 9.5 from each side
x+9.5-9.5 ≥9-9.5
x ≥-.5
Also 4x+6y ≤55
Let y=0
4x ≤55
Divide by 4
4x/4 ≤55/4
x ≤13.76
Two things
We cannot buy parts of a gallon so y ≤9, x<13
and x and y cannot be negative ( no selling drinks we are buying them) so x ≥0 ,y ≤0
0 ≤y≤9
0 ≤x≤13
Which points fits these requirements
A and C have y >9 so they are eliminated
B has y as negative so it is eliminated
D is our choice
Answer:
x² + 4x + 3
Step-by-step explanation:
to find f(g(x)), substitute x = g(x) into f(x)
f(g(x)) = f(x + 2) = (x + 2)² - 1 = x² + 4x + 4 - 1 = x² + 4x + 3