Answer:
Yes to all 3 questions.
Step-by-step explanation:
3x^2(x-1) + -3x^3+ 4x^2-2x+1
= 3x^3 - 3x^2 - 3x^3 + 4x^2 - 2x + 1
= x^2 - 2x + 1,
So A + B is a polynomial.
3x^2(x-1) - (-3x^3+ 4x^2-2x+1)
= 3x^3 - 3x^2 + 3x^3 - 4x^2 + 2x - 1
= 6x^3 - 7x^2 + 2x - 1.
So A - B is also a polynomial.
3x^2(x-1)( -3x^3+ 4x^2-2x+1)
= (3x^3 - 3x^2) ( -3x^3 + 4x^2 - 2x + 1)
= -9x^6 + 12x^5 - 6x^4 + 3x^3 + 9x^5 - 12x^4 + 6x^3 - 3x^2
= -9x^6 + 21x^5 - 18x^4 + 9x^3 - 3x^2.
So A * B is a polynomial.
The two angles are the same value. To find, think of the equation 3<em>x</em>+50=6<em>x</em>-10. Put the 6<em>x</em> to the other side of the equation. You shall get -3x+50=-10. Move the 50 to the other side, and you'll end up with -3<em>x</em>=-60. Divide each number by -3 to find <em>x</em> now. Your final answer will be <em>x=20</em>.
Answer: <em>x=20</em>
Answer:
y = 
Step-by-step explanation:
If the equation of a function is in the form of y = h(x)
When the graph of this function is reflected across x-axis,
Transformed function will be,
y = -h(x)
Further reflected across y-axis, then the transformed function will be,
y = -h(-x)
By this rule,
Given equation when reflected across x-axis,
y = 
Further reflected across y-axis,
y = 
y = 
y =
Answer:
a
Step-by-step explanation:
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Answer:
Volume of rectangular prism = 1200 cubic inches
Step-by-step explanation:
Given that:
Length of rectangular prism = 10 inches
Width of rectangular prism = 8 inches
Height of rectangular prism = 15 inches
Volume of rectangular prism = Length * Width * Height
Volume = 10 * 8 * 15
Volume = 1200 cubic inches
Hence,
Volume of rectangular prism = 1200 cubic inches
