If y varies directly as x, find the direct variation equation for the situation.y = 7 when x = 

A. y = 28x
B. y = x
C. y = x + 
D. y = x


Answer: A

Mathematics

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Use the Factor Theorem to determine whether x - c is a factor of the given function for the given value of c. If x - c is a factor, then write f in factored form. That is, write f(x) = (x - c)(quotient).f(x) = x2 - 11x + 30; c = 5

A. Yes; f(x) = (x - 5)(x + 6) B. Yes; f(x) = (x - 5)(x - 6) C. Yes; f(x) = (x + 5)(x + 6) D. No

Mathematics

Solve the problem.Rachel's bus leaves at 7:25 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 3 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time. Determine algebraically whether Rachel will catch the bus. If so, when?

A. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel will catch the bus at 7:30 PM
B. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel won't catch the bus.
C. Bus: x1 = 3t2, y1 = 2; Rachel: x2 = 4(t - 3), y2 = 4
Rachel will catch the bus at 7:29 PM
D. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t + 3), y2 = 4
Rachel won't catch the bus.

Mathematics

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.(-4, -7) and (2, 11)

A. y + 7 = 3(x + 4) or y - 11 = 3(x - 2) B. y - 7 = 3(x - 4) or y + 11 = 3(x + 2) C. y + 7 = 3(x - 4) or y - 11 = 3(x + 2) D. y - 7 = 3(x - 4) or y - 11 = 3(x - 2)

Mathematics

Solve.Write the equivalent decimal and fraction for 83%.

A. 0.8; 83
B. 0.08;  
C. 0.008;  
D. 0.8;  

Mathematics