The mode is 85, because it is the most occurring in the data set.
hope that helps :)
Answer:
f(0) = 1
Step-by-step explanation:
f(x) indicates the "output" value present at the "input" (Output referring to the y value and input referring to the x value). So f(0) would mean the "y" value present at x = 0; however, there are two circles at x = 0. One of the dots is open(hollow) meaning that the "x" and "y" values present there are excluded. This leaves the closed(filled) dot which means that value is included and is the answer.
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
Transformation 1:
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
y = -x + 2
Step-by-step explanation:
The equation of a line in a slope intercept form is given as :
, where m is the gradient and c, y - intercept.
First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;
By substitution we get
We substitute any of the points and the value of m into y= mx + c to find the value for c.
Adding 4 to both sides.
Hence the equation of the line is :
y = -x +2
When I saw this, I said to myself "Self ! We don't know anything about
decagons.", and then I went searching online for stuff about decagons.
This just goes to show how stupid I can be when I don't take a little time
to THINK before I go running around screaming.
-- When you draw all the lines from the center to the vertices of the
decagon, you'll have 10 little triangles.
-- The area of the whole thing is 161 square inches, so the area of each
little triangle is 1/10 of that . . . . . <em>16.1 square inches</em>.
-- The area of each little triangle is (1/2) (base) (height), just like
every other triangle.
The base is the 4.6 inches of one side of the decagon.
Area = (1/2) (base) (height)
Multiply each side by 2: 2 x area = (base) x (height)
Divide each side by (base): (2 x area) / (base) = height
Height = (2 x 16.1) / (4.6) = <em>7 inches</em> .
Let that be a lesson to both of us.
THINK before you jump.
