Answer:
{7, 11, 15, 19}
Step-by-step explanation:
The function is defined by the formula y = 2x + 1 ........ (1)
Now, domain of the function are given to be {3, 5, 7, 9}
Hence, from equation (1), at x= 3, y = 2 × 3 + 1 = 7
Now, at x = 5, y = 2 × 5 + 1 = 11
Again, at x = 7, y = 2 × 7 + 1 = 15
Finally, at x = 9, y = 2 × 9 + 1 = 19
Therefore, the range of the corresponding domain of this function is given to be {7, 11, 15, 19}. (Answer)
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Answer:
55,000
Step-by-step explanation:
I already explained it on another problem but I'll show the equation again.
0.74x = 40,700
x = 55,000
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
5
Step-by-step explanation:
