Notice that the 2 expressions have 2 common terms.
(r-s) is just (s-r) times (-1)
similarly
(t-s) is just (s-t) times (-1)
this means that :
(r-s) (t-s) + (s-r) (s-t)=-(s-r)[-(s-t)]+(s-r) (s-t)
the 2 minuses in the first multiplication cancel each other so we have:
-(s-r)[-(s-t)]+(s-r) (s-t)=(s-r) (s-t)+(s-r) (s-t)=2(s-r) (s-t)
Answer:
d)<span>2(s-r) (t-s) </span>
The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
<h3>How to compute the net profit?</h3>
Case A:
Based on the information, the price of fertilizer will be:
= 0.25 × 100 × 50
= $1250
Price of wheat = 3.50 × 50 × 50
= $10500
Net profit = $10500 - $1250
= $9250
Case B:
Price of fertilizer will be:
= 0.50 × 70 × 50
= $1750
Price of wheat = 4.50 × 50 × 50
= $11250
Net profit = $11250 - $1750
= $9500
Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
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Answer:
360 cm
Step-by-step explanation:
volume= length x width x height
8*5*9=360 cm
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
The answer is the first one
