Answer the question and provide an explanation.Determine whether the following statement is true or false, and explain why. All real numbers are rational numbers.

What will be an ideal response?


False; the real numbers consist of the rational numbers and also the irrational numbers.

Mathematics

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Use the given information to find the equation of the circle.Center: (-1, 0); passes through the point (-1, 5)

A. x2 + (y + 1)2 = 25 B. (x + 1)2 + y2 = 25 C. (x - 1)2 + y2 = 25 D. (x + 1)2 + y2 = 5

Mathematics

Factor the binomial that is a difference of squares. If prime, so state.49x2 - 16

A. (7x + 4)(7x - 4)  B. (7x + 4)2 C. prime D. (7x - 4)2

Mathematics

Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places. log80.537

A. -0.270 B. 14.898 C. -3.344 D. -0.299

Mathematics

If y varies directly as x, find the direct variation equation for the situation.y = 0.8 when x = 4

A. y = 5x B. y = x - 3.2 C. y = 0.2x D. y = 0.8x

Mathematics