Answer:
2x² + 3x + 4 + (17x + 9) / (x² − 4)
Step-by-step explanation:
Start by setting up the division. Make sure to write all the coefficients, even the zero ones.
x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7
Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:
2x⁴ + 0x³ − 8x²
Subtract that from the first three terms of the dividend:
3x³ + 4x²
Drop down the next term from the dividend, and start the process all over again.
3x³ + 4x² + 5x
When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.
9*(x-1)=2x-7
First get rid of your parenthesis by distributing.
9x-9=2x-7
Then all you have to do is isolate the variable
9x=2x+2
7x=2
so x= 2/7
Answer:
15. {1, 3, 5, 7}
16. nothing empty set { }
17. {0, 1, 2, 4, 5, 6, 7, 8, 10}
Step-by-step explanation:
the U means combining the sets that fit the criteria
the upside down U means what fits both criteria
for 16, it asks for contradicting criteria so there is nothing in the set.
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V = S^3
S= 1/3
V = 1/3^3
V = 1/27 cubic unites each
3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total