Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is
where
m is the slope--------->
in this problem the slope is equal to
it's negative because the tank is going to be consumed
assuming he starts with a full tank
substitute in the formula above
therefore
the answer is
the equation
Answer:
work is shown and pictured
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
Given:
The inequality is
To find:
The solution of the given inequality.
Solution:
We have,
Isolate the variables terms on the left side.
Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.
Therefore, the correct option is D.