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Maurinko [17]
3 years ago
14

Determine the resulting polynomial:

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

24x^3-19x^2-62x+45

Step-by-step explanation:

f(x)=-3x+5

g(x)=-8x^2-7x+9

f(x)*g(x)=(-3x+5)(-8x^2-7x+9)

=(-3x)(-8x^2)+(-3x)(-7x)+(-3x)(9)+(5)(-8x^2)+(5)(-7x)+(5)(9)

=24x^3+21x^2-27x-40x^2-35x+45

=24x^3-19x^2-62x+45

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A dairy produces 256 pints of milk each day. How many gallons of milk is this? (1 gallon
hoa [83]

Answer:

32 gallons

Step-by-step explanation:

c'mon this is simple, but thx for the points

6 0
3 years ago
Mary wrote a book of 1536 pages. She numbered all pages by hand. How many times did she write the digit 6?
abruzzese [7]

<em>Hi there!</em>

<em>~</em>

<em>If my logic doesn't fail me here, we have a total of 290 + 145 + 4 = 439 total 6s.</em>

<em>Hope this helped you!</em>

5 0
3 years ago
A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the
nikdorinn [45]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{22.5 \:  {cm}^{3} }}}}}

Step-by-step explanation:

Given,

Length of a rectangular prism ( l ) = 10 cm

Width of a rectangular prism ( w ) = 2.5 cm

Height of a rectangular prism ( h ) = 0.9 cm

Volume of a rectangular prism ( V ) = ?

<u>Finding </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectang</u><u>ular</u><u> </u><u>prism</u>

\boxed{ \bold{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}

\dashrightarrow{ \sf{volume = 10 \times 2.5 \times 0.9}}

\dashrightarrow{ \sf{volume = 22.5 \:  {cm}^{3} }}

Hope I helped!

Best regards! :D

7 0
3 years ago
If p=(-3,-2) and q=(1,6) are the endpoints of the diameter of a circle find the equation of the circle
stira [4]

Answer:

<em>The equation of the circle   (x +1) )² +(y-(2))² = (2(√5))²</em>

<em>   or </em>

<em>The equation of the circle    x² + 2 x + y² - 4 y  = 15</em>

<u>Step-by-step explanation:</u>

Given points end  Points are p(-3,-2) and q( 1,6)

<em>The distance of two points formula</em>

P Q = \sqrt{x_{2} - x_{1})^{2} + ((y_{2} -y_{1})^{2}   }

P Q = \sqrt{1 - (-3)^{2} + ((6 -(-2))^{2}   }

P Q = \sqrt{16+64} = \sqrt{80}

<em>The diameter 'd' = 2 r</em>

                       2 r = √80

                            = \sqrt{16 X 5}

                           = 4 \sqrt{5}

                     <em> r =  2√5</em>

<em>Mid-point of two end points </em>

<em>                        </em>(\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) = (\frac{-3+1}{2} ,\frac{-2 +6}{2} )<em></em>

<em>                                               = (-1 ,2)</em>

<em>Mid-point of two end points = center of the circle</em>

<em>                                     (h,k) = (-1 , 2)</em>

                 

The equation of the circle

           (x -h )² +(y-k)² = r²

<em>          (x -(-1) )² +(y-(2))² = (2(√5))²</em>

<em>         x² + 2 x + 1 + y² - 4 y + 4 = 20</em>

<em>          x² + 2 x + y² - 4 y  = 20 -5</em>

<em>           x² + 2 x + y² - 4 y  = 15</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The equation of the circle   (x +1) )² +(y-(2))² = (2(√5))²</em>

<em>   or </em>

<em>The equation of the circle    x² + 2 x + y² - 4 y  = 15</em>

<em>                  </em>

6 0
3 years ago
When you are doing math homework do u need to show your work for every problem?
Alex17521 [72]

Yes, it is very important otherwise some teachers may count the problem wrong.


6 0
3 years ago
Read 2 more answers
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