Classify the equation as a conditional equation, an identity, or a contradiction. Find the solution set.2x + 8(x + 1) + 2 = 10 - 7x

A. Identity; {all real numbers}
B. Contradiction; ?
C. Conditional; {1}
D. Conditional; {0}


Answer: D

Mathematics

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Use the guidelines to evaluate the study. Discuss flaws that you see in the study. A researcher from an environmental group wishes to gauge political sentiment regarding a proposed environmental law. He obtains a list of 1000 email addresses from an internet provider, uses a random number table to select a random sample of 100 of these addresses, emails the people in the sample asking them "How do you feel about the proposed environmental law which will improve the quality of our air?" He requests that people respond to his question by email. After the study he announces that 72% of Americans are in favor of the new environmental law.

What will be an ideal response?

Mathematics

Solve the problem.The equation ?2 = tan-1(?C/G) gives the phase angle of impedance in the parallel portion of a distributed constant circuit. Find ?2 if  and 

A. 1.4° B. 80.2° C. 89.1° D. 88.6°

Mathematics

Solve. Assume the exercise describes a linear relationship.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 27 ounces of water. After it has been filling for 12 seconds, the gauge indicates the bottle contains 62 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.

A. y = 5x + 2
B. y = 5x + 50
C. y = -5x + 52
D. y = x + 26

Mathematics

The graph of a function f is given. Use the graph to answer the question.For which of the following values of x does f(x) = 40?

A. 140 B. 80 C. 40 D. 100

Mathematics