Question
Each of the following questions presents a word in
bold, followed by three sentences using that word. The word may be used correctly or incorrectly in each sentence. Select which sentence(s) use the word correctly by marking the option that corresponds to your answer. Explicate I. The professor paused to explicate the poem, carefully unpacking its complex metaphors. II. The guide explicated the forest’s ecosystem, pointing out delicate interconnections. III. He explicated apologies to his colleagues, hoping to repair strained relationships.Solution
Explicate means to analyze, clarify, or explain in detail. I and II are correct: both involve explaining complex content. III is incorrect: “explicated apologies” is not—misuse.
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 42x + 392 = 0
Equation 2: y² - 46y + 480 = 0
I. √(17x) + √51 = 0
II. √(4y) + 3 = 0
Let 's' represent the sum of the highest root of equations I and III, and 'r' denote the product of the lowest root of equation I and the highest root o...
I. 6x2 + 19x + 10 = 0
II. y2 + 10y + 25 = 0
I. 5x + y = 37
II. 4y+ x = 15
If the roots of the quadratic equation 7y² + 5y + 9 = 0 are α and β, then find the value of [(1/α) + (1/β)].
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