Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3
Answer:
x = 5.5 (nearest tenth)
Step-by-step explanation:
let x be the length of 1 side
given area of square poster is 30 in²
and
Area = (length of 1 side )²
hence
30 = x²
x = √30
x = 5.4772
x = 5.5 (nearest tenth)
Answer:
Does this help I hope it does :D
How to find the domain and range of a function?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
Answer:
3.00
Step-by-step explanation:
USL = 350+18 = 368
z = (USL-Mean)/6*σ = (368-350)/6*σ
σ = 3/0.9999966 = 3.00 (approx)
Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).
So, the area of this rectangle is
The area of the square is 
, and we know that the two areas are the same, so we have
The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.
