Provide an appropriate response.A student thinks that the graphs of the equations
- 
= 1 and 
- 
= 1are identical. Is the student correct? Explain.
What will be an ideal response?
No, the student is incorrect. Although both graph are hyperbolas, the graph of the first equation opens left and right, while the graph of the second equation opens up and down. (Explanations will vary.)
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Factor the polynomial completely.64x3 + y3
A. (4x + y)(16x2 + y2) B. (64x + y)(x2 - 4xy + y2) C. (4x + y)(16x2 - 4xy + y2) D. (4x - y)(16x2 + 4xy + y2)
Identify where f is increasing or where f is decreasing, as indicated. Round your answer to two decimal places when appropriate.f(x) = 
; increasing
A. (-?, ?) B. [-0.80, 0.80] C. (-?, 0.80] D. [0.80, ?)
Use a proportion to solve the problem. Round to the nearest tenth as needed.A triangle drawn on a map has sides of lengths 8 cm, 10 cm, and 15 cm. The shortest of the corresponding real-life distances is 136 km. Find the longest of the real-life distances.
A. 170.0 km B. 255.0 km C. 160.0 km D. 265.0 km
Answer the question.What values of n will make xn a perfect square?
A. n must be odd. B. n must be a multiple of 5. C. n must be a power of 3. D. n must be even.