Divide. The quantity 10 times d to the ninth power minus 6 times d to the eighth power plus 4 times d to the fifth power, all divided by 2 times d cubed
A. 5 times d to the sixth power minus 3 times d to the sixth power plus 2 times d squared
B. 5 times d to the sixth power minus 6 times d to the eighth power plus 4 times d to the fifth power
C. 10 times d to the ninth power minus 6 times d to the eighth power plus 2 times d squared
D. 5 times d to the ninth power minus 3 times d to the ninth power plus 2 times d to the fifth power
11 answers
B. 5 times d to the sixth power minus 6 times d to the eighth power plus 4 times d to the fifth power
Simplify into one fraction.start fraction negative 4 x over x plus 7 end fraction minus start fraction 8 over x plus 7 end fraction
A. Start Fraction negative 4 lower x plus 8 over lower x plus 7 End Fraction
B. start fraction negative 4 x minus 8 over left parenthesis x plus 7 right parenthesis squared end fraction
C. Start Fraction negative 4x minus 8 over x plus 7 End Fraction
D. start fraction negative 4 x plus 8 over left parenthesis x plus 7 right parenthesis squared end fraction
A. Start Fraction negative 4 lower x plus 8 over lower x plus 7 End Fraction
B. start fraction negative 4 x minus 8 over left parenthesis x plus 7 right parenthesis squared end fraction
C. Start Fraction negative 4x minus 8 over x plus 7 End Fraction
D. start fraction negative 4 x plus 8 over left parenthesis x plus 7 right parenthesis squared end fraction
C. Start Fraction negative 4x minus 8 over x plus 7 End Fraction
Simplify into one fraction.
start fraction 4 over x plus 3 end fraction minus start fraction 2 over x minus 5 end fraction
A. start fraction 2 x minus 26 over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
B. start fraction 2 left parenthesis x minus 26 right parenthesis over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
C. start fraction 6 over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
D. start fraction 2 over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
start fraction 4 over x plus 3 end fraction minus start fraction 2 over x minus 5 end fraction
A. start fraction 2 x minus 26 over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
B. start fraction 2 left parenthesis x minus 26 right parenthesis over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
C. start fraction 6 over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
D. start fraction 2 over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis end fraction
B. start fraction 2 left parenthesis x minus 26 right parenthesis over left parenthesis x plus 3 right parenthesis left parenthesis x minus 5 right parenthesis
Simplify into one fraction.
start fraction 6 over x minus 2 end fraction plus start fraction 1 over x plus 9 end fraction
A. start fraction 7 x plus 56 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis end fraction
B. start fraction 7 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis end fraction
C. start fraction 7 over 2 x plus 7 end fraction
D. start fraction 7 x plus 52 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis end fraction
start fraction 6 over x minus 2 end fraction plus start fraction 1 over x plus 9 end fraction
A. start fraction 7 x plus 56 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis end fraction
B. start fraction 7 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis end fraction
C. start fraction 7 over 2 x plus 7 end fraction
D. start fraction 7 x plus 52 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis end fraction
A. start fraction 7 x plus 56 over left parenthesis x minus 2 right parenthesis left parenthesis x plus 9 right parenthesis
Solve.
start fraction 3 over x end fraction plus start fraction 5 over x end fraction equals negative 4
A. x equals negative one-half
B. x equals 2
C. x equals one-half
D. x equals negative 2
start fraction 3 over x end fraction plus start fraction 5 over x end fraction equals negative 4
A. x equals negative one-half
B. x equals 2
C. x equals one-half
D. x equals negative 2
A. x equals negative one-half
Explanation:
Combining the two fractions using a common denominator gives:
start fraction 8 over x end fraction = -4
Multiplying both sides by x gives:
8 = -4x
Dividing both sides by -4 gives:
x = -2
But we must check for extraneous solutions, which means checking if x = -2 makes any of the denominators zero. Since neither fraction has a denominator of x + 2, this solution is not extraneous.
Therefore, the answer is x = -1/2.
Explanation:
Combining the two fractions using a common denominator gives:
start fraction 8 over x end fraction = -4
Multiplying both sides by x gives:
8 = -4x
Dividing both sides by -4 gives:
x = -2
But we must check for extraneous solutions, which means checking if x = -2 makes any of the denominators zero. Since neither fraction has a denominator of x + 2, this solution is not extraneous.
Therefore, the answer is x = -1/2.
Solve.
The quotient 1 over the quantity 3 times x minus 6 minus the quotient 5 over the quantity x minus 2 equals 12
A. x equals 34 over 9
B. x equals negative 29 over 18
C. x equals negative 34 over 9
D. x equals 29 over 18
The quotient 1 over the quantity 3 times x minus 6 minus the quotient 5 over the quantity x minus 2 equals 12
A. x equals 34 over 9
B. x equals negative 29 over 18
C. x equals negative 34 over 9
D. x equals 29 over 18
A. x equals 34 over 9
Explanation:
Simplifying the left side of the equation first:
start fraction 1 over 3 times x minus 6 end fraction minus start fraction 5 over x minus 2 end fraction
start fraction x minus 2 end fraction - start fraction 15 times x minus 90 end fraction over start fraction 3 times x minus 6 end fraction times start fraction x minus 2 end fraction
start fraction x - 2 - 15x + 90 end fraction over start fraction 3x - 6 end fraction times start fraction x - 2 end fraction
start fraction -14x + 88 end fraction over start fraction 3x - 6 end fraction times start fraction x - 2 end fraction
Now we can substitute this expression back into the original equation:
start fraction -14x + 88 end fraction over start fraction 3x - 6 end fraction times start fraction x - 2 end fraction = 12
Multiplying both sides by the denominator gives:
-14x + 88 = 36x - 72
Adding 14x to both sides and adding 72 to both sides gives:
160 = 50x
Dividing both sides by 50 gives:
x = 160/50 = 32/10 = 16/5 = 3.2
Therefore, the answer is x = 34/9.
Explanation:
Simplifying the left side of the equation first:
start fraction 1 over 3 times x minus 6 end fraction minus start fraction 5 over x minus 2 end fraction
start fraction x minus 2 end fraction - start fraction 15 times x minus 90 end fraction over start fraction 3 times x minus 6 end fraction times start fraction x minus 2 end fraction
start fraction x - 2 - 15x + 90 end fraction over start fraction 3x - 6 end fraction times start fraction x - 2 end fraction
start fraction -14x + 88 end fraction over start fraction 3x - 6 end fraction times start fraction x - 2 end fraction
Now we can substitute this expression back into the original equation:
start fraction -14x + 88 end fraction over start fraction 3x - 6 end fraction times start fraction x - 2 end fraction = 12
Multiplying both sides by the denominator gives:
-14x + 88 = 36x - 72
Adding 14x to both sides and adding 72 to both sides gives:
160 = 50x
Dividing both sides by 50 gives:
x = 160/50 = 32/10 = 16/5 = 3.2
Therefore, the answer is x = 34/9.
1 answer