You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
The degree 4 term is 5x^4. The coefficient of the term is
5
Answer:
A = 0.75 gram or 1 gram
Step-by-step explanation:
The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).
We can use the following formula for half-life of
to find out how much is left from the original sample after 2,292 years:

where:
<em>A</em> is the amount left of an original gram sample after <em>t</em> years, and
is the amount present at time <em>t</em> = 0.
The half-life of
is the time <em>t</em> at which the amount present is one-half the amount at time <em>t </em>= 0.
If 1 gram of
is present in a sample,
Solve for A when t = 2,292:
Substituting
= 1 gram into the decay equation, and we have:
A = 0.75 g or 1 g
Answer:a)0.001
b) males=1.
Females = 1
c) 0.9
d) 4×10^-5
e)0.045
Step-by-step explanation:a) crude death= Number of death/Number of individuals = 1000/100000= 0.001
b)sex specific death rate= numbered deaths of males/ number of deaths of males= 600/600= 1
c)case specific = 45/50=0.9
d)cause specific= Number of people dying from lung cancer/number of people with disease=45/100000=4×10^-5
e) pmr= number of deaths from specific disease÷total number of death=45/1000=0.045
He needs to cut 3/8 off because 3 1/8-2 3/4=3/8.