Answer:
f(3) = -11
Step-by-step explanation:
f(x) = -3x-2
let x=3 and replace it in the above equation
f(3) = -3(3) -2
f(3) = -9 -2
f(3) = -11
The change in the water temperature of a bottle of water when it dropped by 4 degrees every hour is 48 degrees
<h3>What is temperature?</h3>
Temperature can be defined as the hotness or coldness of a thing or place.
To calculate the change in water temperature after 12 hours, we use the formula below.
Formula:
- ΔT₁₂ = 12t'................ Equation 1
Where:
- ΔT₁₂ = Change in the water temperature after 12 hours
- t' = drop in temperature per hour
From the question,
⇒ Given:
Substitute into equation 1
- ΔT₁₂ = 12×4
- ΔT₁₂ = 48 degrees
Hence, the change in the water temperature is 48 degrees
Learn more about temperature here: brainly.com/question/24746268
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Answer:
1.
2. undefined
3. .
4. .
5. .
6.
Step-by-step explanation:
1. The required line passes through . The slope of the line joining the points is given by the formula,
or
Either of them yields the same result.
Substitute into the first formula to get,
You can write this as a mixed number to obtain:
2. The given line passes through .
Observe that the first coordinates are the same for both points. This implies that, the line is vertical.
The slope of all vertical lines are undefined.
3. The average rate of change of the function on the interval is given by:
.
The given function is
.
.
4. The given function is
.
.
5. From the graph
.
.
.
6. The given equation is :
Add to both sides.
Divide through by 2.
Compare this function to
The slope is