The LCD is 12. Thus, your
(x-2)/4 - (x+3)/3 = -2 becomes 12((x-2)/4 - (x+3)/3 = -2), or
3(x-2) - 4(x+3) = -36
Then 3x - 6 - 4x - 12 = -36. Combining like terms,
-x = -36 + 18, or -x = -18, or x = 18.
Check this result by subbing 18 for x in the given equation.
Please note: You must use parentheses here as indicated to eliminate any ambiguity about order of operations and what divides into what.
Answer:
There will be 5:3 because pigs have 4 feet each so divide 4 from 20 to get 5, then you divide 2 from 6 because chickens have 2 feet so you put the ratio in order to get 5:3
Step-by-step explanation:
RT = 3 because it is equal
Answer: x = -1, -3, 7 + √62, 7 - √62
Step-by-step explanation:
q p
x⁴ - 10x³ - 66x² - 94x - 39
= +/- 
possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39
Use synthetic division <em>or long division</em> to see which factor will leave a remainder of 0.
try x + 1 = 0 ⇒ x = -1
-1 | 1 -10 -66 -94 -39
<u>| ↓ -1 11 55 39 </u>
1 -11 -55 -39 0
(x + 1)(x³ - 11x² - 55x - 39)
next, try x + 3 = 0 ⇒ x = -3 <em>for the new polynomial</em>
-3 | 1 -11 -55 -39
<u>| ↓ -3 42 39</u>
1 -14 -13 0
(x + 1)(x + 3)(x² - 14x - 13)
Lastly: find the zeros by setting each factor equal to zero and solve.
x + 1 = 0 ⇒ x = -1
x + 3 = 0 ⇒ x = -3
x² - 14x - 13 = 0
Hello,
let's assume j the john's age, m the mary's age.
<span>"John is twice as old as mary"==>j=2*m
</span>
<span>"the sum of their ages is 21" ==>j+m=21
==>2*m+m=21
==>3m=21
==>m=7
and j=21-7=14
</span>
