The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to 
. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
The exterior angle theorem states that an exterior angle is equal to the sum of its remote interior angles.
With that we know...
m<QRS+m<RSQ=m<SQP
90+34=x+72
124=x+72
x=52 degrees
answer: 52 degrees
Answer:
dy/dx = 9x²+2
dy = (9x²+2) dx
dy/dt = (9x²+2) dx/dt
if x = 2 and dx/dt=5 then
dy/dt = (9*2²+2)*5 = 38*5 = 190
Answer:
The answer is A. Check the picture attached.
Step-by-step explanation:
<u>Corrected Question</u>
Suppose the value R(d) of d dollars in euros is given by 
. The cost in dollars to purchase and ship n purses is given by P(n)=66n+23. Write a formula for the cost, Q(n) in euros to purchase and ship n purses.
Answer:
Step-by-step explanation:
The value R(d) of d dollars in euros is given by
Therefore:
The cost P(n) in dollars to purchase and ship n purses is given by:
Therefore, the cost, Q(n) in euros to purchase and ship n purses
