3 years ago

2 more than k is greater than -3 as an inequality

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

K+2 >-3........................

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Write (2x - 5)2 as a trinomial.

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Answer:

$4x^2-20x+25$

Step-by-step explanation:

$(2x-5)^{2} \\(2x)^2+2(2x)(-5)+(-5)^2\\4x^2-20x+25$

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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

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ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

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3 years ago

the sum of three numbers is 6. the third number is the sum of the first and second numbers. the first number is one more than th

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Your numbers would be 1, 2, and 3.

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Jasmine has taken an online boating safety course and is now completing her end of the course exam. As she answers each question

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Answer:

80 questions.

Step-by-step explanation:

If 20% = 16 Q,

then 100 ÷ 20 = 5

Therefore, 5 x 16 = 80 questions on the test.

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