Answer: IT IS: A
Step-by-step explanation:
math duh
Answer:
3 3/5 minutes
Step-by-step explanation:
Let one measure of volume be 5/9 of a tank, or (5/9)(tank).
We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.
Write and solve an equation of ratios:
(5/9) (tank) 2 minutes
------------------- = ----------------
(9/9) (tank) x
Solve for x, which represents the number of minutes required to fill the whole tank:
(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)
The whole tank will be filled in 3 3/5 minutes.
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Answers:</h3>
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Explanation:
The given piecewise function is

At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
- f(x) = -4x+3 when x < 3
- f(x) = -x^3 when

- f(x) = 3x^2+1 when x > 8
In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
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f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
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Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
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Side notes:
- We won't use the second definition since we don't have any x inputs between 3 and 8
- To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example,
is the same as x<=5
When Sawyer went to sleep it was -2.
Overnight the temperature dropped -15 degrees more.
-2 + -15 = -17
When Sawyer woke up, the temperature was -17 degrees.