Answer:
y ≤ 2x -2 Option C.
Step-by-step explanation:
Equation of the dotted line which passes through (3,0) and (0,8) will be
y = mx+C
m = 
= -1
and C = 3
So equation will be y = x + 3
But shaded blue part is above the dotted line so inequality will be y> -x +3
Equation of the second solid line which passes through ( 0,-2) and (1,0) will be
y = mx + C
m = 
= 
= 2
and C = -2
So equation of the line will be y = 2x - 2
But shaded yellow part is below the solid line.
So inequality will be
y ≤ 2x -2
Option C. is the answer.
From my calculations I got :
- 24 pints of blue paint
- 16 pints of red paint
Answer:
The solution to the differential equation
y' = 1 + y²
is
y = tan x
Step-by-step explanation:
Given the differential equation
y' = 1 + y²
This can be written as
dy/dx = 1 + y²
Separate the variables
dy/(1 + y²) = dx
Integrate both sides
tan^(-1)y = x + c
y = tan(x+c)
Using the initial condition
y(0) = 0
0 = tan(0 + c)
tan c = 0
c = tan^(-1) 0 = 0
y = tan x
Answer:
x = 7
y = 3/2 or 1.5 (IF THE ANGLE IS 30 BY THE RATIOS OF A RIGHT TRIANGLE.)
hope it's right
Step-by-step explanation:
FOR X:
Let's solve your equation step-by-step.
4x+3=31
Step 1: Subtract 3 from both sides.
4x+3−3=31−3
4x=28
Step 2: Divide both sides by 4.
4x/4=28/4
x=7
FOR Y:
Step 1: Simplify both sides of the equation.
(3)(7)+6y=30
21+6y=30
6y+21=30
Step 2: Subtract 21 from both sides.
6y+21−21=30−21
6y=9
Step 3: Divide both sides by 6.
6y/6=9/6
y=3/2
The smallest country in the world is vatican it is 0.44km^2
