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natita [175]
3 years ago
11

Which of the following options results in a graph that shows exponential growth. F(x) = 0.4(3)^x. F(x) = 3(0.5)^x. F(x) = 0.8(0.

9)^x. F(x) = 0.9(5)^-x
Mathematics
1 answer:
Andre45 [30]3 years ago
5 0
f(x)=a^x\\\\if\ a \ \textgreater \  1\ then\ a\ function\ is\ an\ exponential\ growth\ function

f(x)=0.4(3)^x\to a=3 > 1\ OK!\\f(x)=3(0.5)^x\to a=0.5 < 1 :(\\f(x)=0.8(0.9)^x\to a=0.9 < 1 :(\\f(x)=0.9(5)^{-x}=0.9\left(\dfrac{1}{5}\right)^x\to a=\dfrac{1}{5} < 1\ :(

Answer: f(x)=0.4(3)^x
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Find all zeros. One zero had been give
nekit [7.7K]

Answer:

The three zeros of the original function f(x) are {-1/2, -3, -5}.

Step-by-step explanation:

"Synthetic division" is the perfect tool for approaching this problem.    Long div. would also "work."

Use -5 as the first divisor in synthetic division:

      ------------------------

-5    2     17    38    15

              -10  -35   -15

       --------------------------

         2      7     3     0

Note that there's no remainder here.  That tells us that -5 is indeed a zero of the given function.  We can apply synthetic div. again to the remaining three coefficients, as follows:

     -------------

-3    2     7    3

             -6   -3

     -----------------

        2     1     0

Note that the '3' in    2   7   3 tells me that -3, 3, -1 or 1 may be an additional zero.  As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.

That leaves the coefficients 2   1.  This corresponds to 2x + 1 = 0, which is easily solved for x:

If 2x + 1 = 0, then 2x = -1, and x = -1/2.

Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.

6 0
3 years ago
Hi can some one please help me with question b please
creativ13 [48]

Answer:

a=28200

b=39200

Step-by-step explanation:

ok use google

7 0
2 years ago
Please help. i dont understand, so if you could kindly please show me step by step
Artemon [7]

4.7244m

convert feet to inches using 1 foot = 12 inches

15.5 feet = 15.5 × 12 = 186 inches

multiply this by 2.54 to convert to cm

186 inches = 186 × 2.54 = 472.44 cm

now 1m = 100cm

divide 472.44 by 100 to convert to m

472.44 ÷ 100 =4.7244m


6 0
3 years ago
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Answer:

18

Step-by-step explanation:

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3 years ago
What is polynomial?​
shtirl [24]

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

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