Give a direct proof of the following theorem.
Premise 1: If you exercise, your health will improve.
Premise 2: If your health improves, you will be able to accomplish more.
Premise 3: If you set aside time, you can exercise.
Theorem: If you set aside time, you will be able to accomplish more.
Proof: STATEMENTS REASONS
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Sketch the graph of the function and find the domain and range.f(x) = (x - 2)2 - 1
A. domain: all real numbers
range: y ? -1
B. domain: all real numbers
range: y ? 2
C. domain: all real numbers
range: y ? -2
D. domain: all real numbers
range: y ? -1
Solve.Given f(x) = x2 - 18x + 68, find all values for x for which f(x) ? 0.
A. (-?, 9 - ] ? [9 +
, ?)
B. (-?, -] ? [
, ?)
C. [9 - , 9 +
]
D. (-?, 9 - ) ? (9 +
, ?)
Use a calculator to find the acute angle ?, to the nearest degree, that satisfies the equation.cos ? = 0.9
A. 31° B. 9° C. 26° D. 0°
Solve the problem.A particular substance decays in such a way that it loses half its weight each day. How much of the substance is left after 9 days if it starts out at 128 grams?
A. g
B. g
C. 2 g
D. 4 g