Show by substitution whether the number r is a solution of the corresponding quadratic equation.10x2 + 21x + 9 = 0; r = - 

A. Yes
B. No


Answer: A

Mathematics

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Solve the problem.Given that the polar equation r =  models the orbits of the planets, compare Earth's orbit relative to the sun with that of Pluto and describe the difference. For Earth,  and  For Pluto,  and 

A. The orbits of Earth and Pluto are both circular, with the sun positioned at their centers, but the diameter of Pluto's orbit is about 40 times that of Earth. B. Earth circles the sun, but Pluto does not. C. Earth's orbit closely approximates a circle with the sun positioned at its center. Pluto's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center. D. Pluto's orbit closely approximates a circle with the sun positioned at its center. Earth's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center.

Mathematics

Solve the problem.Find the expected number of boys in a family of 4 children.

A. 2.75 B. 2.5 C. 2 D. 3

Mathematics

Solve the problem.A tank contains 2 gallons of water. Its capacity is  How much more water is needed to fill it?

A.  gal
B.  gal
C. 1 gal
D. 4 gal

Mathematics

Find the amount of premium retained by the company and the amount of refund to the insured using proration.As a result of a recent claim, Joshua's Meat Market has had their fire insurance policy canceled after 9 months. Their annual premium is $1343.

A. $1119.17, $223.83 B. $895.33, $447.67 C. $1007.25, $335.75 D. $999.75, $343.25

Mathematics