What is x^2 - 3y - y^2 when x = -1 and y = -2 Find 20% of 3 3/4. What two consec

Question

What is x^2 - 3y - y^2 when x = -1 and y = -2 Find 20% of 3 3/4. What two consecutive integers must x be between in order to satisfy 2^x = 26? The graph shows the amount of potential energy V(x) stored in a large rubber band that is stretched a distance of x inches beyond its relaxed length. a. As x increases in value, doe's the potential energy in the band increase or decrease? b. Estimate the energy when the band is stretched 4 inches beyond its natural length. c. Estimate the value of x when the energy is 10.

Explanation / Answer

1) f(x, y) = x^2 - 3y - y^2 when x= -1 and y = -2

plu x = -1 and y = -2 in f(x, y)

f(-1, -2) = 1 - 3(-2) - (-2)^2 = 1 -6 - 4 =-9

2) 20% of   3(3/4)

3(3/4) = 15/4

(20/100)*(15/4) = 20*15/100*4 = 15/20 = 3/4

3) 2^x = 26

x = 3 ; 2^3 = 8

x = 4 ; 2^4 = 16

x = 5 ; 2^5 = 32

So, x must bet between x = 4 and x=5 to satisfy the equation

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