Answer:
Total after tax and discount is $7.78
Step-by-step explanation:
(10.49×0.3)= 3.15
10.49 - 3.15 = 7.34
(7.34×0.06)= 0.44
7.34 + 0.44 = 7.78
Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
________________________
This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
Explanation:
The parent function of the graph is
The transformation for the parent function is given by
Thus, the transformed function is in the form of
where a is the vertical compression/stretch,
h moves graph to left or right and
k moves the graph up or down.
Thus, from the transformed function , we have,
The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.
Hence, The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
We need the perimeter of the window for framing
The window is in the shape of a rectangle with the height of
feet and width of
. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is
=
We have two whole numbers 18 and 12 and two fractions
and
Adding the two fractions that have different denominator
, which is an improper fraction which we can change into a mixed number
So the perimeter of the window is
and the length of wood needed for the frame is
feet
0.25 represents the slope of the line. For every 1 unit it goes up, it goes 4 to the right.