Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Answer:
0(2/3; 0)
Step-by-step explanation:
Using the graph that is included, look at the points given. For example (30, 3). There would be 30 vegetarian dishes and 3 steak dinners for a total of 33 meals. If that is plugged into the cost equation 20(30)+3(30) it would equal $690. The next point (33, 1) would cost 20(33) + 30(1) = $690 and but gives 34 meals. However, 34 vegetarian meals would only cost 20(34)=$680 and have 34 meals.
If both types of meals need to be purchased, 33 vegetarians and 1 steak. If only vegetarians are purchased, the cost is cheaper by $10.
Answer:
x = 16
Step-by-step explanation:
The two angles are vertical angles, which means they are equal
3x-3 = 2x+13
Subtract 2x from each side
3x-3-2x =2x-2x+13
x-3 =13
Add 3 to each side
x-3+3 =13+3
x = 16
Answer:
3x^2 + 8x + 3
Step-by-step explanation:
