<span>The table shows the outputs, y, for different inputs, x:
Input (x) 1 3 5 7
Output (y) 8 6 5 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondent output (value of y) without ambiguity.
Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)
x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20
While the image of 3 in the data is y = 6.
So, the function f(x) = 4x + 8 has a greater value when x = 3.
Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.
f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68
=> x = 68/4 = 17</span>
Answer:
c. 40°
Step-by-step explanation:
The information given has been illustrated in the figure drawn in the attachment below.
m<BAD = 50° (angle bisector theorem)
m<ADB = 90° (perpendicular bisector)
m<ABD = 180 - (m<BAD + m<ADB) (sum of angles in a triangle)
m<ABD = 180° - (90° + 50°)
= 180° - 140°
= 40°
B = 40°
5-6 years in the wild up to 8 years in captivity.
Answer:
Step-by-step explanation:
The volume formula for a cylinder is B*h
B : the area of the base
h : the height
Cylinder 1
The volume is 8pi
Cylinder 2
The volume is 32pi
Cylinder 3
The volume is 72pi
If this is 63/268 the answer is 63/268 or 0.24 rounded.
