Amount of money collected in the 2-day fundraiser is represented by the following equations:
- 12x + 4y = 152 .................. (i)
- 32x + 12y = 420 .................. (ii)
where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch
Multiplying (i) with 3 and subtracting it from (ii)
36x + 12y - (32x + 12y) = 456 - 420
⇒ 4x = 36
⇒ x = 9
Put value of x in (i)
⇒ 12 × 9 + 4y = 152
⇒ 108 + 4y = 152
⇒ 4y = 44
⇒ y = 11
Hence, cost of the vegetarian meal is 11.
The x-value increases by a factor of 5 from 1.6 to 8 between the two points. Because the variation is inverse, the y-value must decrease by a factor of 5 between the two points.
6/5 = 1.2
The second point is (8, 1.2), corresponding to the 4th selection.
Answer:
Step-by-step explanation:
6x-10x^2+3-(5x^2+3x-4)
when there is a - in front of an expression in (), change the sign of each term in the expression
6x-10x^2+3-5x^2-3x+4
now collect like terms
3x-10x^2+3-5x^2+4
3x-15x^2+3+4
3x-15x^2+7
now use the commutative property to reorder the terms
-15x^2+3x+7
=-15x^2+3x+7
