Let the universe be all the graphic artists. Let p(x) be the statement "x likes mathematics." Assume the statement "all graphic artists like mathematics" is TRUE. Write the given statement symbolically and determine the truth value, if possible.Not all graphic designers like mathematics.

Fill in the blank(s) with the appropriate word(s).


~(?x p(x)) False

Mathematics

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Find the unknowns on the right side of the partial fraction decomposition. =  + 

A. A = 1, B = 4 B. A = -1, B = 4 C. A = 1, B = -4 D. A = -1, B = -4

Mathematics

Find the distance between the points, and find the midpoint of the line segment joining them.(7, 2) and (4, 8)

A. 3
B. 3
C. 3; (11, 10)
D. 3; (3, -6)

Mathematics

Solve.Each month a gas station sells x gallons of gas at $1.92/gallon. The cost to the owner of the gas station for each gallon of gas is $1.32. The monthly fixed cost for running the gas station is $37,000. Write an equation that relates the monthly profit, in dollars, to the number of gallons of gasoline sold. Then use the equation to find the monthly profit when 75,000 gallons of gas are sold in a month.

A. P = 1.32x - 37,000; $62,000 B. P = 0.60x - 37,000; $8000 C. P = 0.60x + 37,000; $82,000 D. P = 1.92x - 37,000; $107,000

Mathematics

Solve the equation.( )x + 5 = 9x

A.
B.
C.
D.

Mathematics