Factor by grouping.dx2 + 4dx - 7d - gx2 - 4gx + 7g

A. (x2 + 4x - g)(d - 7)
B. (x2 + 4x - 7)(d - g)
C. (x2 + 7x - 4)(d - g)
D. (x2 - 4x + 7)(d + g)


Answer: B

Mathematics

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Evaluate the expression.

A. 12 B. 6 C. 24 D. undefined

Mathematics

Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and  ? = 0.314 seconds =  minutes =  degreesdetermine the distance d from Earth to 61 Cygni using Bessel's figures. 

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Mathematics

Provide an appropriate response.Explain in your own words how the meter, liter, and gram are related.

What will be an ideal response?

Mathematics

The following table shows the earnings for the Juarez family last year. Use this information to answer the question.MonthEarningsMonthEarningsJan.$1400July$1300Feb.$1150Aug.$2450Mar.$2950Sept.$2500Apr.$2300Oct.$2000May$1650Nov.$2350June$2700Dec.$2400What was the family's total income from January thru June?

A. $11,000 B. $9,200 C. $12,150 D. $13,000

Mathematics