Use the vertex and the direction in which the parabola opens to determine the relation's domain and range.y2 - 12y - x + 32 = 0
A. Domain: (-?, ?)
Range: (-?, ?)
B. Domain: (-4, ?]
Range: (-?, ?)
C. Domain: (-?, 4)
Range: (-?, ?)
D. Domain: (-?, ?)
Range: (-?, 4]
Answer: B
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Solve the problem using inductive reasoning.When the numbers in the sequence of n-agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders.
What will be an ideal response?
Use the two steps for solving a linear programming problem to solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 35 counselors and 10 aides B. 12 counselors and 18 aides C. 18 counselors and 12 aides D. 27 counselors and 18 aides
Provide an appropriate response.Write the next equation in the pattern.2 - 1 = 13 - 2 = 15 - 3 = 28 - 5 = 3
A. 10 - 5 = 5 B. 11 - 3 = 8 C. 13 - 5 = 8 D. 13 - 8 = 5
Solve the problem.Dombro Construction Company needs to cut an arch for the top of a doorway. The arch needs to be 10 feet wide and 2 feet high. The arch will be a section of a circle, drawn using a stretched string with a pencil attached at the end as a compass. Using the coordinate system as shown in the drawing, find the y-coordinate of the point on the y-axis that would be the center of the circle. Round to the hundredths place.
?a = 5
A. 5.83 B. 52.5 C. 4.57 D. -5.25