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3 years ago

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]

Hi there!

~

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

Hope this helped you!

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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 ) = ?

Finding the volume of a rectangular prism

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

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

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

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:

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

 or 

The equation of the circle x² + 2 x + y² - 4 y = 15

Step-by-step explanation:

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

The distance of two points formula

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

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

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

The diameter 'd' = 2 r

2 r = √80

= $\sqrt{16 X 5}$

= $4 \sqrt{5}$

r = 2√5

Mid-point of two end points

$(\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) = (\frac{-3+1}{2} ,\frac{-2 +6}{2} )$

= (-1 ,2)

Mid-point of two end points = center of the circle

(h,k) = (-1 , 2)

The equation of the circle

(x -h )² +(y-k)² = r²

(x -(-1) )² +(y-(2))² = (2(√5))²

x² + 2 x + 1 + y² - 4 y + 4 = 20

x² + 2 x + y² - 4 y = 20 -5

x² + 2 x + y² - 4 y = 15

Final answer:-

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

 or 

The equation of the circle x² + 2 x + y² - 4 y = 15

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