Classify the equation as a contradiction, an identity, or a conditional equation.12k + 78 = 3(4k + 23)

A. Conditional
B. Identity
C. Contradiction


Answer: C

Mathematics

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Work the application. Write a legend and an equation. Solve the equation and answer in a complete sentence.City A, City B and City C, located on a map, form a triangle. The perimeter of this triangle is  The distance from City A to City B is 596 miles. The distance from City B to City C is  What is the distance from City C to City A?

A. Let d = the distance from City C to City A. d = 596 + 348 + 1707 The distance from City C to City A is 2561 miles. B. Let d = the distance from City C to City A. d = 596 + 348 + 1707 The distance from City C to City A is 2651 miles. C. Let d = the distance from City C to City A. 596 + 348 + d = 1707 The distance from City C to City A is 736 miles. D. Let d = the distance from City C to City A. 1707 = 596 + 348 + d The distance from City C to City A is 763 miles.

Mathematics

Evaluate the integral.

A. 9 ln  -  cos2 x + C
B. 9 ln  +  cos2 x + C
C. 9(ln  + sin x) + C
D. 9 ln  -  sin x + C

Mathematics

Draw a tessellation of the plane using the given figure. If the figure does not tessellate the plane, state this.

What will be an ideal response?

Mathematics

Find the maximum and minimum values of the function and the values of x and y for which they occur.G = 6x + 8y, subject to2x + 4y ? 12,2x + y ? 8,0 ? x ? 6,0 ? y ? 4.

A. Maximum: 68 when x = 6 and y = 4; minimum: 30 when x = 3 and y = 1
B. Maximum: 30 when x = 3 and y = 1; minimum: 0 when x = 0 and y = 0
C. Maximum: 68 when x = 6 and y = 4; minimum: 0 when x = 0 and y = 0
D. Maximum: 44 when x = 2 and y = 4; minimum: 30 when x = 3 and y = 1

Mathematics