If f(x) + g(x) = (f + g)(x), then we can simplify this by adding both functions together: ΙxΙ + 9 + (- 6). This makes ΙxΙ + 3. The absolute value of x can only be something that is greater than or equal to zero for the function to make sense. This means your answer is a.) (f + g)(x) ≥ 3.
If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is
2x + 3y < 60
Answer:
Part a) 
Part b) 
Step-by-step explanation:
we know that
The original area of rectangle is equal to

so
if the length is increased by 6% and the width is by 15%
then
the new area is equal to
![A=[1.06(14)][1.15(9.5)]\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5B1.06%2814%29%5D%5B1.15%289.5%29%5D%5C%20cm%5E%7B2%7D)


The new area is (1.219) times the original area
Part a) Calculate the percentage change in area of the rectangle

convert to percentage

Part b) what is the original area as a percentage of the increased area of the rectangle?
Divide the original area by the increased area

Convert to percentage

Answer:
4
Step-by-step explanation:
Plug 7/8 into a.
8(7/8)-9/3 Multiply.
7-9/3 Divide.
7-3 Subtract.
4
Hope this helps!! Have a great day! (。・∀・)ノ゙
Answer:
Six
Step-by-step explanation:
1.Convert all volumes to millilitres
(a) Chlorpheniramine
V = 100 mL
(b) Lidocaine

(c) Banana flavouring

2. Calculate the total volume
Chlorpheniramine = 100 mL
Lidocaine = 59
Banana flavouring = <u> 2.5 </u>
TOTAL = 162 mL
3. Calculate the number of doses
