Answer:
Manuel received 28 purple pins.
Step-by-step explanation:
This is a simple equation. If he received 40 pounds and 70% of them are purple then the number of purple pins is 40 * 70% = 28.
Answer:-7 if you allow complex numbers is in the domain of f of g. It is not in the domain if you disallow complex values
Step-by-step explanation:the domain is the set of x variables that produce a value for y. If you plug in -7 for x you get a negative value in the radical producing an imaginary number. If you allow complex values then x is in the domain. Otherwise it is not
Answer:
X = 12
4x + 12 = 5x
subtract 4x on each side and you're left with x=12
137,426.9 is 140,000 when rounded to 2 sig figs
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3
