Answer:
g(x) is shifted 1 unit to the right and 5 units up.
Step-by-step explanation:
f(x) =,
x --------> (original function)
(x - 1) = [x - (+1)]------> shifted 1 unit in the positive x direction, i.e 1 unit to right
(x - 1) + 5 ----------> shifted 5 units in the positive y direction, i.e 5 units up.
combining all the steps.
g(x) is shifted 1 unit to the right and 5 units up.
A is correct because 6 is the x coordinate and since it is positive it goes to the right. Since 2 is the y coordinate and it’s positive, you move up.
Answer:
7 , 11
Step-by-step explanation:
Let the second number be 'x'
the first number = x - 4
Twice the second number : 2*x = 2x
5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20
13 less than 5 times the first = 5x - 20 - 13 = 5x - 33
5x - 33 = 2x
Add 33 to both sides
5x - 33 + 33 = 2x +33
5x = 2x + 33
Subtract '2x'from both sides
5x - 2x = 2x - 2x + 33
3x = 33
Divide both sides by 3
x = 11
First number = x - 4 = 11 - 4 = 7
The numbers are 7 , 11
#3 Which of the following is less than 527 m?
A. 0.000699 Mm = 0.000699 · 1,000,000 m = <u>699 m</u>
B. 914,879,710 nm = (914,879,710 : 1,000,000,000) m = <u>0.914879710 m</u>
C. 51,723 cm = (51,723 : 100) m = <u>517.23 m</u>
The best answer is C
#4 How many songs would you have if the average file size is 4,000 kb?
8 gb: 1,700 songs
16 gb: 6,000 songs
2 gb: 500 songs
160 gb: 30,000 songs
64 gb: 14,000 songs
1 Terabyte = 1024 gb: so im guessing 350,000 songs
This depends on the length of the song and the file format/type. A typical mp3 song of around 4 minutes averages 4 MB (4000 KB).
Answer:
x=9/2
Step-by-step explanation:
First distribute 2
2x-4-5=3-2x+6
Add the like terms on the left side -4-5=-9
2x-9=3-2x+6
Do this with the right side 3+6=9
2x-9=-2x+9
Add 9 from the left side to the right side
2x=-2x+18
Then add 2x from the right side to the left side
4x=18
Divide 4 from both sides
x=18/4 or 9/2
