The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
- 4.2 degrees
Step-by-step explanation:
If the drop was from temp 0 at 8 pm to temp -16.8 at midnight (4 hours later)
then,the drop is given by the rate: -16.8/4 = - 4.2 degrees per hour
Therefore, at 9 pm the temperature was:
0 degrees - 4.2 degrees = - 4.2 degrees
Answer:
9n÷7
Step-by-step explanation:
A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.
Dividing the 9 times n by 9 gives us the following:
9n÷7
<u><em>Hope this helps :></em></u>
Answer:yes
Step-by-step explanation:
There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.
It would be about 4/10 of a gallon
