5/(x^2-4)+2/x=2/(x-2) if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:
5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so
5(x)+2(x+2)(x-2)=2(x)(x+2), perform indicated operations...
5x+2(x^2-4)=2x(x+2)
5x+2x^2-8=2x^2+4x subtract 2x from both sides
5x-8=4x subtract 4x from both sides
x-8=0 add 8 to both sides
x=8
check...
5/(x^2-4)+2/x=2/(x-2) when x=8 so
5/(64-4)+2/8=2/(8-2)
5/60+1/4=2/6
5/60+15/60=20/60
20/60=20/60
Answer:
i think d or c.....i think it's correct because know just small...
Answer:
8.6 × 10^5
Step-by-step explanation:
New Jersey 8th graders = 920,000
Rhode island 8th graders = 60,000
Difference in Rhode island 8th graders and New Jersey 8th graders population
= 920,000 - 60,000
= 860,000
Answer in scientific notation
860,000
The decimal point will move 5 places in
= 8.6 × 10^5
4/9(y-3) = g....multiply both sides by 9/4
9/4(4/9)y-3 = 9/4g
y - 3 = 9/4g....now add 3 to both sides
y - 3 + 3 = 9/4g + 3
y = 9/4g + 3
Answer:
The percentage increase from the restaurant price to the restaurant cost = 269.56%
Step-by-step explanation:
An average price of per meal for the customer= $17
An average cost of per meal for the restaurant= $4.60
Difference in price = 17-4.60
Difference in price = $12.4
So, the percentage increase from the restaurant price to the restaurant cost =
The percentage increase from the restaurant price to the restaurant cost = 269.56%
