What is the solution to this equation? -4x+2=26
1 answer:
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a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34
ANSWER
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.