(a) y = 3(x^2 -4x) +17 = 3(x^2 -4x +4) +17 -3*4
y = 3(x -2)^2 +5
The turning point at (2, 5) is a minimum.
(b) y = -5(x^2 -8x) -70 = -5(x^2 -8x +16) -70 +80
y = -5(x -4)^2 +10
The turning point at (4, 10) is a maximum.
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
You could make the numbers have a common denominator.
-3/7 --> -9/21
-2/3 --> -14/21
|-14/21| - |-9/21| = 5/21 difference.
5/21 is the distance.
I’m kinda confused on the question being asked
Answer:
1/ Zamaha
2/ Hero
3/ Honda
Step-by-step explanation:
unweighted method is used which means the 3 mearsure are accounted for the same poportion in competitive strength assesment, 1/3 for each criteria.
So, we caculate the avergae points of each brand;
- Honda = 1/3*(7+5+8) = 20/3
- Hero = 1/3*(8+6+7) = 21/3
- Zamaha = 1/3*(6+8+9) = 23/3
The order of the companies from highest to lowest is:
1/ Zamaha
2/ Hero
3/ Honda