Wonderful! You gave us everything we could ever possibly want
to know, except the QUESTION. Fortunately, here at Brainly, we
have five Hogwarts drop-outs who work weekends for us as our
Department of Clairvoyance. When people post an intriguing
question but leave out some important part of it, our D of C can
usually fill in the missing part for us ... especially on weekends.
The question you left out is:
What is the next time that a red bus and a blue bus
will both leave the stadium together, simultaneously
and also both at the same time ?
Since red buses leave every 6 minutes starting at 4:00, and
blue buses leave every 8 minutes starting at 4:00, they both
leave simultaneously and also at the same time at minutes
after 4:00 that are common multiples of 6 and 8.
The least common multiple of 6 and 8 is 24 . After that,
every multiple of 24 is another common multiple of 6 and 8.
24 minutes is 4 red buses and 3 blue buses ... exactly !
A red bus and a blue bus will leave the stadium together at 4:24 .
After that, it will happen again at 24-minute intervals ... at 4:48,
5:12, 5:36, 6:00, . . . etc.
For problem 2, you are correct in stating that a curve forms. Specifically, if we were to trace along the outer edge of the shape, then we'd form a <u>parabola</u> that has been tilted 45 degrees compared to the more familiar form that students are taught (where the axis of symmetry is vertical).
For more information, search out "Tangent method for parabolas". As the name implies, the tangent method draws out the tangents of the parabola which helps form the parabola itself.
Everything else on your paper is correct. You have problem 1 correct, and the table is filled out perfectly. Nice work.
The answer to your question is 2.625
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 ).
To know more about Expression follow
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Simply add up all.
4 1/2 + 6 2/3 + 9 1/4
(4 + 6 + 9) + 1/2 + 2/3 + 1/4
19 6/12 + 8/12 + 3/12 = (6+8+3)/12 = 17/12
19 17/12
19 1 5/12
19 + 1 5/12
= 20 5/12
20 5/12 yards was purchased.