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agasfer [191]
3 years ago
12

The graph of f(x)=3•2^x -3 is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g

(x)?

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer:

C

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that 3*2^x-3 which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

g(x) = 2^x+3\\g(0) = 2^0+3\\g(0)=1+3\\g(0)=4

This function doesn't match.

f(0) = 3*2^0+3\\f(0) = 3*1+3\\f(0)=6

This function matches. Option C is correct.

You might be interested in
Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?
sdas [7]

Answer:

  9 hours

Step-by-step explanation:

"At the same rate" means time and wages are proportional.

  time/wages = t/$108 = (13 h)/$156

  t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel

  t = 9 h

Chang would have to work 9 hours to make $108.

8 0
2 years ago
Explain how you could use the distribute property and mental math to find 5 times 198
Sladkaya [172]
Multiply 100 times 5 in your head to get 500, 

100 * 5 = 500
90 * 5 = 450
8 * 5 = 40
Put those 3 together into one equation, \/
(100 * 5) + (90 * 5) + (8 * 5) = 990 OR (100 * 5) + (98 * 5) = 990
depends on how distributed the teacher wants it to be.
5 0
3 years ago
What is the quoteint of<br> 3/4 and 5/6
Novosadov [1.4K]

Answer:

9/10

Step-by-step explanation:

Very simple, Keep It, Change It, Flip it

Do 3/4 X 6/5 and you should get your answer

5 0
2 years ago
Which number is rational?<br> √2<br> 10<br> 016
erica [24]
16 I think is a rational number
6 0
3 years ago
I really need help
Zielflug [23.3K]

Answer:

The answer is (C)

The equation of the circle is (x + 4)² + (y - 6)² = 81

Step-by-step explanation:

* To find the equation of the circle you need to know

  the center of the circle and the length of its radius

* The rule of the equation of the circle is:

  (x - h)² + (y - k)² = r²

  Where x and y is a general point on the circle,

  h and k are the coordinates of the center of the circle

  and r is the radius of the circle

∵ The center of the circle is (-4 , 6)

∵ The radius of the circle is 9

∴ (x - -4)² + (y - 6)² = 9²

∴ ( x + 4)² + (y - 6)² = 81

∴ The answer is (C)

3 0
3 years ago
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