Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
5x + y = 21 → (1)
x - 3y = 9 → (2)
Multiply (1) by 3 and add the result to (2) to eliminate y term
15x + 3y = 63 → (3)
Add (2) and (3) term by term
(x + 15x) + )- 3y + 3y) = (9 + 63)
16x = 72 ( divide both sides by 16 )
x = 4.5
Substitute x = 4.5 into (1) for corresponding value of y
22.5 + y = 21 ( subtract 22.5 from both sides )
y = - 1.5
Solution is (4.5, - 1.5 )
Answer:
Width= 120 ft
Length= 285 ft
Step-by-step explanation:
W= width and (3w-75)= length since it's 75 less than 3 times the width
w+w+(3w-75)+(3w-75)=810
8w-150=810
8w=960
w=120
So the width is 120 ft
Then substitute the 120 in for w in the length
L= 3(120)-75
L=360-75
L=285
So the length is 285 ft
You can check because 120+120+285+285=810, and because 120×3-75=285!
is strictly increasing on [0, 5], so
and
so the integral is bounded between
5) The slope is: 6
6) Answer: y=-1/2x+3
7) Answer: The slope is: -8, the y intercept is: 6
8) Answer: y=8x+30
Have a good day and a hug :D づ◡﹏◡)づ
Answer:
x < -3
Step-by-step explanation:
1. multiply both sides by 2
2. isolate the x by adding 11 to both sides
3. simplify
(i have included an attachment showing the work for clarification)
