Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
Answer:
{2, 6}
Step-by-step explanation:
w/2w-3=4/w is ambiguous. Did you mean
w 4
---------- = ------ ? If so, please enclose "2w - 3" inside parentheses.
2w - 3 w
Cross multiplying, we get w² = 8w - 12.
Putting this into standard form, we get:
w² - 8w + 12 = 0, which factors into (w - 2)(w - 6) = 0.
The solutions are found by setting each factor = 0 separately and solving the resulting equations for w: {2, 6}.
Answer: x≈3
Step-by-step explanation:
0.48 = log x , this could also be written as :
x = 0.48 , that is
x = 
x = 3.01995172
x≈ 3
The answer for f(x)-g(x) is 
.The solution can be obtained by use of concept of functions.
<h3>What is a function?</h3>
A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.
We can perform addition and subtraction operations on functions.
The given function f(x) and g(x) are
The solution for f(x)-g(x) is .
To know more about functions visit:
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