Answer:
Step-by-step explanation:
To get the zeros of the expression 2x(x - 5)(x+7), we are going to equate the expression to zero and find the corresponding value of x as shown;
2x(x - 5)(x+7) = 0
2x = 0
x-5 = 0
x+7 = 0
From 2x = 0
x = 0/2
x = 0
From x-5 = 0
x = 0+5
x = 5
From the equation x+7 = 0
x = 0-7
x = -7
Hence the values of the zeros are {-7, 0, 5}
Answer:
options are 3 and 4
Step-by-step explanation:
The difference of squares is defined as In option 1,
It can be written as
It is the sum of squares, therefore the option 1 is incorrect.
In option 2,
The number 40 is not a complete square of any number, therefore option 2 is incorrect.
In option 3,
It can be rewritten as
It is the difference of squares, therefore option 3 is correct.
In option 4,
It can be rewritten as
It is the difference of squares, therefore option 4 is correct.
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9514 1404 393
Answer:
r = 120t/(120-t)
Step-by-step explanation:
Multiply by the denominator, isolate r terms, then divide by the coefficient of r.
The relationship between profit and revenue is:
Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (3,250 + 5x + 0.1x²)
Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant.
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be
Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250 --> this is the function for profit
Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.
dP/dx = 0 = -0.2x + 105
x = 525
Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.
