Solve the equation.x4 - 3x2 - 54 = 0
A. ±3, ± i
B. 3, i
C. ±3
D. -9, 6
Answer: A
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Solve the problem.A rectangular Persian carpet has a perimeter of 232 inches. The length of the carpet is 22 inches more than the width. What are the dimensions of the carpet?
A. 94 in. by 116 in. B. 69 in. by 91 in. C. 47 in. by 69 in. D. 105 in. by 127 in.
Provide an appropriate response. Solve the following quadratic using any method, rounding to the nearest hundredth if necessary: 6x + 7 = x2.
A. x = 4.41, 1.59 B. x = -1.59, -4.41 C. x = -1, 7 D. x = 1, -7
The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e).) Find the answer in AU and round to the nearest hundredth.
What will be an ideal response?
Multiply the polynomials using the FOIL method. Express the answer as a single polynomial in standard form.(7x - 4)(5x - 7)
A. 35x2 - 69x + 28 B. 12x2 - 69x + 28 C. 12x2 - 69x - 69 D. 35x2 - 69x - 69