Write the statement form in symbols using the conditional (?) or the biconditional (?) connective. If the form is conditional, name the hypothesis and the conclusion. Let p be the statement "It is raining" and q be the statement, "There are clouds in the sky."It is raining only if there are clouds in the sky.

What will be an ideal response?


p ? q; hypothesis: p, conclusion: q

Mathematics

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Solve the problem.The system of equations  = (-5 + 6y)x and  = (-5 + x)y describes the growth rates of two symbiotic (dependent) species of animals (such as the rhinoceros and a type of bird which eats insects from its back). Find the equilibrium points.

A. (x, y) = (0, 0) and (x, y) = 
B. (x, y) = (0, 0) and (x, y) = 
C. (x, y) = 
D. (x, y) = (0, 0) and (x, y) = 

Mathematics

Use synthetic division to find the quotient.(x4 + 256) ÷ (x - 4)

A. x3 - 4x2 + 16x - 64 + 
B. x3 + 4x2 + 16x + 64 + 
C. x3 + 4x2 + 16x + 64 + 
D. x3 + 4x2 + 16x + 64

Mathematics

Divide using synthetic division.

A. x + 8
B.  
C. x + 7 + 
D. x + 7 - 

Mathematics

Solve the equation. + 5 = 4

A. 1 B. no solution C. 81 D. -1

Mathematics