Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y =
+ 2 will be translated 2 units up from the graph of y =
.
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the
, which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y =
- 2 will be translated 2 units down from the graph of y =
.
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the
, which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2
is a stretched version of the graph y =
. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y =
is a compressed version of the graph y =
. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
<span>This is an arithmetic progression, i.e. 16,18,20,22,24,26,28.......... where 16 is the number of people seats in 1st row, 18 seats in second row, 20 seats in third row and so on. The Total number of seats in 20 rows = n/2{2a+(n-1)d}. Here, d = 2 , n =20, a = 16. Thus, Sum = 10 {32+ 19*2} = 10 {70} = 700 seats in total. </span>
Answer:
first you have to add
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Here, we want to compare the graph of g(x) and f(x)
Looking at the given equations, the difference between the two is that we have 5 subtracted from one of the equations
What this means is that we are moving down 5 units away from the graph of f(x) to get the graph of g(x)
Thus, option D is the correct answer
Answer:
Area = 32feet²
Step-by-step explanation:
Perimeter of a rectangule = 2(length+width)
Then:
g = 2w Eq. 1
2(g+w) = 24 Eq. 2
g = length
w = width
From Eq. 2:
(2*g + 2*w) = 24
2g + 2w = 24
2w = 24 - 2g Eq. 3
Matching Eq. 1 and Eq. 3
g = 24 - 2g
g + 2g = 24
3g = 24
g = 24/3
g = 8 feet
From Eq. 1
g = 2w
8 = 2w
8/2 = w
w = 4 feet
Check:
From Eq. 2
2(g+w) = 24
2(8+4) = 24
2*12 = 24
Answer:
Area of a rexctangle = length * width
Then:
Area = 8feet * 4feet
Area = 32feet²