The greatest common factor is exactly as it sounds: the greatest factors of two or more expressions.
Factorize the numbers and identify all common factors. To get the GCF multiply all common factors:
.
Common factors are: 2 and 2, their product is 2·2=4, then the greatest common factor is 4.
4.25 + 2.25 +4x <= 9
combine like terms
6.5 + 4x< =9
subtract 6.5 from each side
4x< = 2.5
divide by 4
x< =2.5/4
x<=.625
Answer: Max can buy up to and including .625 lbs of potato salad.
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof