Answer:
15x² - 3x - 7
Step-by-step explanation:
(12x² + 2x) - (-3x²+ 5x + 7)
First open the parentheses by applying the distributive property.
To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.
Thus, you would have the following:
12x² + 2x + 3x² - 5x - 7
Add like terms
12x² + 3x² + 2x - 5x - 7
15x² - 3x - 7
If you want to multiply the two functions, the answer is a.
In fact, you have

Answer:
y = 2.31x + 309.35
Step-by-step explanation:
Whenever you are checking for a best fitting equation you want to check if it has a constant slope. If it does then the relation is linear and super easy.
So, since the t values are increasing by the same amount you want to see if the y values are too. And they are, each population entry is increasing by 2.31, this is the slope.
Also, keep in mind you can caluclate slope with the equation
here x is replaced by t though.
Now, since we know it's linear and we know the slope we can find the equation with the formula y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31
I am just going to use the first point. so x1 = t1 = 0
y - 309.35 = 2.31(x-0)
y = 2.31x + 309.35
Let me know if there was something you didn't understand.
It is given that the bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. Thus, there are four colors of cards. So, in randomly a card there are just four possible outcomes. The outcomes are:
1. A Blue Card
2. A Green Card
3. A Red Card
4. A Yellow Card
Their probabilities of occurrence will differ but it is a fact that there will be just four possible outcomes.
The work done by the gas when the gas expands will be 567.65 ft-lb.
<h3>What is the work done for an isothermal process?</h3>
The Pressure is inversely proportional to the volume.
Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.
Then the work done by the gas will be
WD = P₁ V₁ ln (V₂ / V₁)
A quantity of the gas with an initial volume of 2 cubic feet and an initial pressure of 700 pounds per square foot.
The gas expands to a volume of 3 cubic feet.
Then the work done by the gas will be
WD = 700 x 2 x ln (3/2)
WD = 1400 x 0.405
WD = 567.65 ft-lb
The work done by the gas when the gas expands will be 567.65 ft-lb.
More about the work done for isothermal process link is given below.
brainly.com/question/4218306
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