X = 5; 2(5) - 1 = 9. 4(9) = 36
<span>For this case we have the following expression:
</span>

<span> We are going to make the following change of variables:
</span>

<span>Rewriting the expression we have:
</span>

<span>Factoring the expression we have:
</span>

<span>Canceling similar terms we have:
</span>

<span>Returning the change we have:
</span>

<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>

<span>
Answer: The simplified expression is: </span>
<span>
The restrictions are: </span>
Answer:24v+24w-16
Step-by-step explanation:
8(3v+3w-2)
8 times 3 =24
So 24v+24w
Then 8 times 2=16
So the answer would be 24v+24w-16
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let y represent the ice sheet's thickness ( in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks.
Answer:
y = 2 - 0.25x
Step-by-step explanation:
From the question, the initial thickness of the ice sheet = 2 meters,
After 3 weeks, the thickness of ice sheet reduced to 1.25 meters
Hence, the difference in the thickness in 3 weeks is calculated as:
2m - 1.25m = 0.75m
The amount of changes that occurred in 3 weeks is given as:
= 0.75/3 = 0.25 meters,
We are told that, the ice is melting with the constant rate.
Therefore, the equation for the relationship between the thickness and number of weeks is given as:
y = 2 - 0.25x