If the area of the base of a rectangular solid is tripled, what is the percent increase in itsvolume?

Answers

Answer 1

Answer: If the height does not change, the volume is just tripled.

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Which of the following integers is in the solution set of │1 – 3x│ < 5 ?I -1
II 1
III 2

Answers

$|1-3x| < 5\n\nx=-1\n\n|1-3\cdot(-1)| < 5\n\n|1+3| < 5\n\n|4| < 5\n\n4 < 5-the\ true$

$x=1\n\n|1-3\cdot1| < 5\n\n|1-3| < 5\n\n|-2| < 5\n\n2 < 5-the\ true$

$x=2\n\n|1-3\cdot2| < 5\n\n|1-6| < 5\n\n|-5| < 5\n\n5 < 5-the\ false$

$|1-3x| < 5\n\n1-3x < 5\ \wedge\ 1-3x > -5\n\n-3x < 5-1\ \wedge\ -3x > -5-1\n\n-3x < 4\ /:(-3)\ \wedge\ -3x > -6\ /:(-3)\n\nx > -(4)/(3)\ \wedge\ x < 2\n\nx\in(-(4)/(3);\ 2)\n\nI\ x=-1\in(-(4)/(3);\ 2)\n\nII\ x=1\in(-(4)/(3);\ 2)\n\nIII\ x=2\notin(-(4)/(3);\ 2)$

Simplify 6x - 4 - 6x

Answers

If you combine like terms, positive 6 x and negative 6 x cancel each other out and you are left with -4.

6x - 4 - 6x = = -4

a student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample mathematical work. given (-5√20+√3)*(2+√3), i first distribute to get the expression -10√20-5√60+2√3+√9, which i can simplify to -40√5-20√15+2√3+3 for an answer. a. the student did not properly distribute the radicals b. the student overlooked combining one or more of the radical terms c. the student did not properly simplify all radicals d. the work shown above is correct