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sesenic [268]
3 years ago
12

The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph oh g(x).

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0
5 units to the left of graph of f(×)
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A scientist measure change in the temperature of chemical solution at the start of the experiment , the solutions is at temperat
zhannawk [14.2K]

Answer:

The temperature of the chemical solution after t hours is -14.96-2.9t\;^{\circ}C

Step-by-step explanation:

Given that the initial temperature of the chemical solution, T_0= -14.96^{\circ}C.

The rate of decreasing temperature, R = 2.9^{\circ}C/ hour

So, after t hours, the temperature of the chemical solution will decrease by Rt=2.9t^{\circ}C.

So, the temperature of the chemical solution after t hours,

T=T_0-Rt \\\\\Rightarrow T = -14.96-2.9t\;^{\circ}C

Hence, the temperature of the chemical solution after t hours is -14.96-2.9t^{\circ}C.

4 0
3 years ago
A supporting goods store sells 2 fishing reels and 5 fishing rods for $243. Later, they still 8 fishing reels and 6 fishing rods
Gwar [14]
To answer this, you can set up a system of equations.  Solve for one of the variables and substitute this new equation into the 2nd equation.

2x + 5y = 243 - I'll solve this one for x.
8x + 6y = 538

2x + 5y = 243
2x = 243 - 5y
2          2
x = 121.5 - 2.5y ;  substitute this in for x in the second equation

8x + 6y = 538
8 (121.5 - 2.5y) + 6y = 538
972 - 20y + 6y = 538
972 - 14y = 538
-972            -972
-14y = -434
-14       -14
y = 31

<u><em>The cost of a rod (y) is $31.  </em></u>

x = 121.5 - 2.5y
x = 121.5 - 2.5 x 31
x = 44

<em><u>The cost of a reel(x) is $44.</u></em>

5 0
4 years ago
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dem82 [27]

Answer:

3/4

Step-by-step explanation:

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The greatest common factor is 25, so divide 75 by 25 and 100 by 25.

75/25=3  100/25=4

So, 75/100 simplified is 3/4.

8 0
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Triangle PQR is dilated by a scale factor of 1/3 to form triangle P'Q'R'. Side RP
Bas_tet [7]

Answer:

1

Step-by-step explanation:

A third of 3=1

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