Use the quadratic formula to solve the equation. (All solutions are real numbers.)4x2 - 5x - 9 = 0

A.
B.
C.
D.


Answer: B

Mathematics

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Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0, b].y = 12?x2

A. 24?b B. 4?b3 C. -24?b D. -4?b3

Mathematics

Which of the following illustrations best represents a bar graph? 

A.


B.


C.


D.


E.


Mathematics

Solve the problem.According to a country's census, the population (to the nearest million) was 264 in Year 0 and 288 in Year 10. The projected population for Year 50 is 434. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by  Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 434 million to find an estimation for the value of the carrying capacity K. Round to

the nearest million. A. (a) r = -1.0087 (b) K = 254 million B. (a) r = 0.0087 (b) K = -2390 million C. (a) r = 1.0087 (b) K = -2290 million D. (a) r = -0.0087 (b) K = 154 million

Mathematics

Find the range of the polynomial function. f(x) = 3x2 + 18x + 23

A. (-?, 4] B. [-4, ?) C. [4, ?) D. (-?, -4]

Mathematics