15. I had 180 mL of water in a measuring cylinder. I added a stone. The reading is now 195 mL. What is the volume of the stone?
1 answer:
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Answer:
Step-by-step explanation:
the expression we have is:
To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:
so we substitute this:
and now we have 1/12 in both terms :
so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):
the equivalent expression is:
Answer:
The required linear function is: f(x) =
Step-by-step explanation:
We are given that f(x) is a linear function and it takes the value 9 when x = 2 and 14 when x = -1.
Now the general form of any linear function is: f(x) = ax + b.
Substituting these values in the general form we get:
f(2) = 9 = 2a + b
f(-1) = 14 = -a + b
Solving these two equations we get:
b = 37/3
Substituting this in the second equation to find 'a'.
a = -5/3
Therefore, the function f(x) = x +
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