Let
x = wristbands
y = headbands
We then have the following inequations:
2x + 3y> = 50 x> = 5 The graph that represents the solution for this system of inequations is shown in the attached image.
The set of solutions is the shaded region.
Answer:
1.
25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.
2. I expect the company to reject 11 of them because 25-36 = 11
Step-by-step explanation:
Answer:
f(x)=a(x - h)2 + k
Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.
The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):
x - h = 0
-2 - h = 0
-h = 2
h = -2
So the function ends up looking like:
f(x)=a(x - (-2))2 + 2
Subtracting a negative cancels the signs out to make a positive:
f(x)=a(x + 2)2 + 2
Step-by-step explanation:
x = 13
subtract x from both sides of the equation
6 = 2x - x - 7
6 = x - 7
add 7 to both sides
6 + 7 = x ⇒ x = 13
As a check
substitute this value into the equation and if both sides are equal then it is the solution
left side = 13 + 6 = 19
right side = (2 × 13) - 7 = 26 - 7 = 19
hence x = 13 is the solution
