The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be solved as:-
f(x) = x³ + 10x² + 31x + 30
f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30
f(x) = ( x² + 7x + 10 ) ( (x + 3 )
f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )
f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )
f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )
Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
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Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
Well...it says the sum of the angles measure 360...so lets set them equal to 360
40 + x - 10 + 1/3x + x - 20 = 360...combine like terms
2 1/3x + 10 = 360
7/3x = 360 - 10
7/3x = 350
x = 350/(7/3)
x = 350 * 3/7
x = 1050/7
x = 150 <=====
-- To play the six games, <span>Santiago Diaz Granados spent
(6 x 25) = 150 tokens.
-- As a result of his skill, experience, talent, steady hand, nerves
of steel, superior hand-eye coordination, and superb reflexes, </span><span>
Santiago Diaz Granados won</span>
(0 + 10 + 50 + 0 + 5 + 10) = 75 tokens.
-- At the end of the 6th game, <span>Santiago Diaz Granados was behind
the curve.
After spending 150 tokens and winning 75 tokens, </span><span>Santiago Diaz Granados
was down by (150 - 75) = 75 tokens since he arrived at the arcade.
Any true friend could look at the choices, could see that choice-B is
the correct one, and could advise </span><span>Santiago Diaz Granados to cash in
whatever he had left, accept his losses, return to his home, and live
to fight another day.
Viva </span><span>Santiago Diaz Granados ... </span><span>un verdadero héroe de su pueblo. Viva !</span>
Answer:
5/3
Step-by-step explanation:
19x=3+4(x+6)-2
19x=3+4x+24-2
19x-4x=3+24-2
15x=27-2
15x=25
x=25/15
simplify
x=5/3
