Find a system of inequalities with the given graph.
A. y ? -x + 3
y ? 0
x ? 0
y ? 6
B. y ? -x + 3
x ? 7
y ? 6
C. y ? -x + 3
y ? 0
x ? 0
x ? 7
D. y ? -x + 3
y ? 0
x ? 0
x ? 7
y ? 6
Answer: D
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Solve by completing the square. Give exact solutions. Simplify radicals and reduce.x2 - 8x + 15 = 0
A. -5, -3
B. 12, 3
C. ±
D. 5, 3
Provide an appropriate response. A street light is to be erected near the top of a pole. The top brace from the light to the pole is 4 feet long and the bottom brace is 5.5 feet long. The braces are attached on the pole 2 feet apart. What is the angle made between the pole and the top brace (lower side of the pole)?
A. 33.9° B. 56.1° C. 16.2° D. 129.8°
Solve the problem.A sequence of rational numbers is defined by r1 =
, and if
then
Find
Hint: Compute the square of several terms of the sequence on a calculator.
A. 2
B.
C.
D.
Find the prime factorization of the product.63 ? 35
A. 3 ? 5 ? 7 ? 7 B. 9 ? 5 ? 7 ? 7 C. 3 ? 3 ? 3 ? 5 ? 7 D. 3 ? 3 ? 5 ? 7 ? 7