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horsena [70]
4 years ago
8

Which of these is another way to write the function

itle="g(x)=3^{x}" alt="g(x)=3^{x}" align="absmiddle" class="latex-formula">?
A. g(x)=9(3^x−2)
B. g(x)=9(3^x+2)
C. g(x)=3(9^x+2)
D. g(x)=3(9^x−2)
Mathematics
1 answer:
mylen [45]4 years ago
5 0

Answer:

  A.  g(x)=9(3^(x−2))

Step-by-step explanation:

g(x) = 3^x = 3^(x-2+2) = (3^2)(3^(x-2))

g(x) = 9(3^(x-2)) . . . . . matches choice A

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Help pleaseeeee :))) thanks!
stepladder [879]

Answer:

D. 8246

Step-by-step explanation:

3 0
3 years ago
The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o
Nimfa-mama [501]

Answer: b(t(h))=135h^2+180h+125


Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function  b(t)=15t^2-60t+125 , where t is the temperature of food in degrees Fahrenheit.

The function t(h)=3h+4 gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125

So, The number bacteria in the food in h hours is given by:

b(t(h))=135h^2+180h+125


4 0
3 years ago
4. Find the slope of the line<br> that passes through the two points.<br> (2.8) (10,2)
algol13

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1

2-8/10-2

-6/8

-3/4

4 0
3 years ago
What element in domain ha image 25/9 under function f(x)= 4x+5/x+4
Neko [114]

First I'll make the assumption that you mean

          4x+5

f(x) = ------------

            x+4

and then set this function = to 25/9:


          4x+5         25

f(x) = ------------ = ------

            x+4           9

Solve for x:  Cross-multiplying, we get 36x + 45 = 25x + 100.

Consolidating like terms, we get 11x = 55.  Thus, x = 5.

3 0
3 years ago
Read 2 more answers
Solve 2x+8&lt;10 or 2x+8&gt;20
galben [10]

Answer:

1 Add 88 to both sides.

2x=10+8

2x=10+8

2 Simplify 10+810+8 to 1818.

2x=18

2x=18

3 Divide both sides by 22.

x=\frac{18}{2}

x=

2

18

4 Simplify \frac{18}{2}

2

18

to 99.

x=9

x=9

Step-by-step explanation:

2x−8=10

1 Let x=9x=9.

2\times 9-8=10

2×9−8=10

2 Simplify 2\times 92×9 to 1818.

18-8=10

18−8=10

3 Simplify 18-818−8 to 1010.

10=10

10=10

8 0
3 years ago
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