Step 1: Factor left side of equation.
(3x+2)(2x+1)=0
Step 2: Set factors equal to 0.
3x+2=0 or 2x+1=0
x=−23 or x=−12
Answer:
x=−23 or x=−12
Janet can fill a certain order in 5 hours, therefore she performs 1/5 of the order within 1 hour.
Tom needs 8 hours to do the same job, therefore he performs 1/8 of the order within 1 hour.
Working together, they make 1/5 + 1/8 orders within 1 hour.
Let <em>t</em> mean the number of hours they need. Then we have equation:

Answer: The answer is 
Step-by-step explanation: Given that a glass bottle is filled with oil weighs 590 grams. After that, Sophia uses 200 millilitres of oil and then the bottle weighs 400 grams.
Therefore, the weight of the oil that Sophia uses = 590 - 400 = 190 grams.
That is, 190 grams = 200 millilitres, so

So, the relation between the weight 'M' of the bottle of oil, in grams, is a function of 'V', the volume of oil Sophia used is given by

Answer:
3.75
Step-by-step explanation:
g(x)=60(1-0.5)^x, g(4)
g(4)=60(1-0.5)^4
g(4)=60(.5)^4
g(4)=60(0.0625)
g(4)=3.75