Answer:
first option
Step-by-step explanation:
3x² - 18x + 5 = 47 ( subtract 5 from both sides )
3x² - 18x = 42 ( divide through by 3 )
x² - 6x = 14
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 14 + 9
(x - 3)² = 23 ( take square root of both sides )
x - 3 = ± 
( add 3 to both sides )
x = 3 ±
The first digit can be any one of the four. For each of those . . .
The second digit can be any one of the remaining 3 .
The total number of possible arrangements is (4 x 3) = 12 .
Score = 6x+y
so 6x+y = xy
⇒ 6x = xy-y
⇒ 6x = y(x-1)
⇒ y = 6x/(x-1)
for x=0, y=0
x=1 , not possible
x=2, y = 12
x = 3, y = 9
x = 4, y = 8
x = 5, y = 7.5 (not possible)
x = 6 , y = 7.1 (not possible)
x = 7, y = 7
x = 8, y = 6.85 (not possible)
x = 9, y = 6.75 (not possible)...
Only five scores are possible.
Step-by-step explanation:
- So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as
5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
<h3> 5×24÷9 </h3>
And your final answer will be
13 1/3 pounds
