For two positive real numbers a and b, which may be equal, determine the smallest possible value of a/b + b/a

Mathematics

1 answer:

Paladinen [302]3 years ago

4 0

Well what i got was 9/2

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Find the value of 5x and 3x+60

Lerok [7]

Answer:0 and -20

Step-by-step explanation:

5x=0;

x=0/5.

3x+60=0;

3x= -60;

x= -60/3;

x= -20

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3 years ago

A rectangle has an area of 20 ft.² in a similar rectangle has an area of 180 ft.² what is the ratio of areas of the similar

vovikov84 [41]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{cccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s^2}{s^2}=\cfrac{20}{180}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{20}{180}\implies \cfrac{s}{s}=\sqrt{\cfrac{20}{180}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{20}}{\sqrt{180}}\implies \cfrac{s}{s}=\cfrac{2\sqrt{5}}{6\sqrt{5}}\implies \cfrac{s}{s}=\cfrac{2}{6}\implies \cfrac{s}{s}=\cfrac{1}{3}$

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3 years ago

A function, f(x) = 4x + 5, has a domain 0 < x < 50. What is its range?

Roman55 [17]

Answer:

f(x) = 4x+5 ; 0 ≤ x ≤ 50

The range is the possible output values of f(x)

4(0) + 5 = 5 smallest output value in range

4(50) + 5 = 55 largest output value in range

The outputs are between 5 and 55 including the endpoints so

the range is [5, 55]

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