Answer:
The nomber of people can attend a dinner that costs $131. 50 is 14.
Step-by-step explanation:
With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:
c=16+8.25x, where:
c is the total cost of he dinner
x is the number of people
Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:
131.50=16+8.25x
131.50-16=8.25x
115.50=8.25x
x=115.50/8.25
x=14
According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.
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:
7z
Step-by-step explanation:
subtracting a negative is like adding
