The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
T2 = t1 - 4 = 9 - 4 = 5
t3 = 5 - 4 = 1
The common difference = -4 so:-
The sequence is 9, 5, 1, -3, -7 ....
m = -1
-5 = 8m + 12/4
-5 - 12/4 = 8m
4(-5) - (12/4) = 4(8m)
*to remove the denominator, multiply each figure by 4.
-20 -12 = 32m
-32 = 32m
-32/32 = 32m/32
-1 = m
m = -1
To check:
-5 = 8m + 12/4
-5 = 8(-1) + 3
-5 = -8 + 3
-5 = -5
Answer:
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Step-by-step explanation:
Answer:
x = - 10
Step-by-step explanation:
Express the fractions on the left side as a single fraction.
Multiply the numerator/denominator of the first fraction by (x - 2)
Multiply the numerator/denominator of the second fraction by (x + 1)
+ 
= 3
Distribute the numerators and simplify
= 3 ( cross- multiply )
3x² - 2x + 4 = 3(x+ 1)(x - 2) ← distribute
3x² - 2x + 4 = 3(x² - x - 2)
3x² - 2x + 4 = 3x² - 3x - 6 ( subtract 3x² - 3x from both sides )
x + 4 = - 6 ( subtract 4 from both sides )
x = - 10
