Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
Answer:
Step-by-step explanation:
(6u)+(-2u)=4u
(-7c)+(4c)=-3c
6=6
4u-3c+6
All of the equations contain -4 in their range.
A) -4 = sqrt(x) - 5
1 = sqrt(x)
x = 1; valid
B) -4 = sqrt(x) + 5
-9 = sqrt(x)
x = 81; valid
C) -4 = sqrt(x + 5)
16 = x + 5
x = 11; valid
D) -4 = sqrt(x - 5)
16 = x - 5
x = 21
I believe the equations contain square instead of square root, in which case the answer would be A because no other could have a negative range.
The equation must be 4x + y = 17
I will use the y-intercept slope version
y = - 4x + 17
Then the slope is negative (-4) and the y-intercept is 17.
The line passes through the points (0,17) and (0,17/4). The negative slope indicates that the line goes down from left to right (y decreases when x increases).
Answer:
63 is 90% of 70
Step-by-step explanation:
multiply 70 x .9 or 70(.9)
