What is the quotient when x^3 -5x^2 + 3x -8 is divided by x-3 ?
1 answer:
For this case, when making the division of polynomials, we must build a quotient that when multiplied by the divisor of the same as the terms of the dividend, the sign is changed and they are eliminated until reaching the remainder of the division.
It must be fulfilled that:
When observing the attached figure, the quotient is:
Answer:
See attached image
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4.
The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:
Simplify the exponent:
Cross multiply:
Divide 9 to both sides:
So the surface area of the second solid is 54 square meters.
The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:
Simplify the exponent:
Cross multiply:
Divide 64 to both sides:
5.
A globe is a sphere, use the formula for the volume of a sphere:
The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:
Simplify the exponent:
Multiply:
The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:
Simplify the exponent:
Cross multiply:
Divide 9 to both sides:
So the surface area of the second solid is 54 square meters.
The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:
Simplify the exponent:
Cross multiply:
Divide 64 to both sides:
5.
A globe is a sphere, use the formula for the volume of a sphere:
The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:
Simplify the exponent:
Multiply:
Answer:
option-B
Step-by-step explanation:
we are given system of inequality as
now, we can check solution
At (0,0):
we can plug x=0 and y=0
and check inequality
so, this is FALSE
now, we can check second inequality
So, this is TRUE
so, option-B