Answer:
x = -1
Step-by-step explanation:
3x + 1 = -2
Subtract 1 from both sides.
3x = -2 - 1
Simplify -2 - 1 to 3.
3x = -3
Divide both sides by 3.
x = -1
Answer:
length of the rectangle=27"
Step-by-step explanation:
length be = l; width be = b
2b-15= l
perimeter= 2(l+b)
=2(2b-15+b)=96
=2(3b-15) =96
3b-15 .=48
3b=48+15=63
b=21. Therefore l = (2 x 21) - 15=42-15 =27"
S+(2+1/2)s+20=48
2/2s+5/2s=48-20
7/2s=28
7s=28*2=2(20+8)=40+16
7s=56
s=56/7
s=8
Answer:
Reflection across the y-axis and a dilation by a factor of 2.
Step-by-step explanation:
Comparing the points from the pre-image, ABC, to the image, A'B'C', we see that both x- and y-coordinates seem to be doubled from the pre-image to the image. However, the sign of the x-coordinates in the image is different; this means that the x-coordinates are negated. A reflection across the y-axis will negate the x-coordinates.
To double both the x- and y-coordinates, we would then apply a dilation by a factor of 2, as the scale factor gets multiplied by every coordinate.
Answer:
z(max) = 2350
x₁ = 18 x₂ = 10
Step-by-step explanation:
Vol (ft³) W (p) Income ($)
Cargo A (x₁) 50 200 75
Cargo B (x₂) 10 360 100
Max load limit 1000 7200
Objective Function
z = 75*x₁ + 100*x₂
Constraints:
Volume constraint:
50*x₁ + 10*x₂ ≤ 1000
Weight constraint:
200*x₁ + 360*x₂ ≤ 7200
Model:
z = 75*x₁ + 100*x₂ to maximize
Subject to:
50*x₁ + 10*x₂ ≤ 1000
200*x₁ + 360*x₂ ≤ 7200
x₁ ≥ 0 x₂ ≥ 0 x₁ and x₂ integers
After 6 iterations with an on-line solver optimal solution is:
z(max) = 2350
x₁ = 18 x₂ = 10
