Provide an appropriate response.Under what circumstances can a system of equations be solved more easily by graphing than be substitution?
What will be an ideal response?
A system of equations would be solved more easily by graphing than by substitution when there are integer solutions and the substitution method requires extensive computations with fractions.
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Factor by grouping.20x6 - 25x3 + 8x3 - 10
A. (5x3 - 2)(4x3 + 5) B. (5x3 + 2)(4x3 - 5) C. (20x3 - 2)(x3 + 5) D. (5x6 + 2)(4x - 5)
Solve.Elaine has a grassy patch of land on her farm that is a rectangle measuring 50 feet by 90 feet. So her goat can eat grass while Elaine is busy with other farm work, she drove two posts into the ground and fastened a rope to each post, passing the rope through a metal ring on the goat's collar. When the goat pulls on the rope while walking, its path is an ellipse. (See the figure.) If the goat can just reach all four sides of the rectangular patch, find the equation of the elliptical path.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Substitute the given values for the variables and then solve the equation for the remaining variable. Round approximate results to the second decimal place.P = 2L + 2W; P = 20, W = 3
A. 17 B. 7 C. 8.5 D. 10
Write a formula for the general term, or nth term, for the given sequence.1 ? 7, 2 ? 8, 3 ? 9, 4 ? 10, 5 ? 11, . . .
A. an = n + 6n B. an = n(n - 6) C. an = n(n + 6) D. an = n(n + 7)