(f+g)(x) represents the sum of the two functions f(x) and g(x).
Arrange these functions vertically and add up like terms:
<span> f(x) = 3x + 10
</span><span>+g(x) = 5x - 3
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(f+g)(x) = 8x + 7
Please note: You've typed in "</span><span>F(x) = 3x + 10x and g(x) = 5x - 3."
I doubt that F(x) actually equals 3x + 10x. Please ensure that you have copied down the original problem correctly. Come back once you've done that, so that we can finish this problem solution.</span>
Answer:

- Multiply 5 by 5 to get your first parameter.

- Multiply 6 by 5 to get the denominator, or your second parameter.

- For the second fraction,
, you need to multiply both parameters by 2, similar to before, but we now must use a different number, otherwise, the denominators will not be the same.


- The last step is to put these numbers you gathered into fractions. The bigger number always goes on the bottom, referred to as the denominator, while the smaller number, referred to as the numerator, always goes on the top.


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Finally, the problem is solved. Now that the problem is solved, we review what we just learned <em>not through more problems, though.</em>
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<h3>What have we learned?</h3>
We learned how to efficiently make fractions' deominators match.
Questions related to this topic? Ask me in the comments box, please!
Answer:
x2 − 14x + 49 = 0
Step-by-step explanation:
Answer:
Price = $4.50
Maximum revenue = $2,430
Step-by-step explanation:
The concession stand sells 600 bags of peanut at $4.00 (600, $4.00).
If there is a $1 increase in price, the number of bags old will decrease by 120, which mens that 480 bags of peanuts will be sold at $5.00 (480, $5.00).
Tracing a linear relationship between price and quantity sold with the two given points:


The revenue function is given by the price multiplied by the quantity sold:

The value of 'Q' for which the derivate of the revenue function is zero, is the output level for which revenue is maximum:

The total revenue of 540 units at $4.50 per unit is:

Answer:
a) P=2(L+W)
b)
c)-2 inch/hour
Step-by-step explanation:
given:
length of the rectangle as L inches
width of the rectangle as W inches
a) The perimeter is defined as <u>the measure of the exterior boundaries</u>
therefore, for the rectangle the perimeter 'P' will be
P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)
Now from figure
P= L+W+L+W
OR
=> P=2L+2W .....................(1)
b)now dp/dt can be found as by differentiating the equation (1)
.............(2)
c)Now it is given for the part c of the question that
L=40 inches
W=104 inches
dL/dt=2 inches/hour
dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)
substituting the above values in the equation (2) we get

