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saveliy_v [14]
3 years ago
6

Write an equation of an exponential function of the form y=ab^x passing through the points (0,8) and (6,0.125)

Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

y=8\cdot \left(\dfrac{1}{2}\right)^x.

Step-by-step explanation:

If the graph of exponential function passes through the points (0,8) and (6,0.125), then the coordinates of these points sutisfy the equation y=a\cdot b^x:\\

8=a\cdot b^0\Rightarrow a=8,\\ \\0.125=8\cdot b^6\Rightarrow \dfrac{1}{8}=8\cdot b^6,\\ \\b^6=\dfrac{1}{64},\\ \\b^6=\dfrac{1}{2^6}\Rightarrow b=\dfrac{1}{2}.

Thus, the equation of exponential function is

y=8\cdot \left(\dfrac{1}{2}\right)^x.

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larisa86 [58]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
I need help please???!!!!!!!
aleksandrvk [35]

Answer:

512 is equivalent

Step-by-step explanation:

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7 0
3 years ago
Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how
skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick  1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

#SPJ4

4 0
2 years ago
Which of the following is equivalent to (16^3/2)^1/2? 6 8 12 64
Pani-rosa [81]
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
\left( 16^{\frac{3}{2}} \right)^{\frac{1}{2}}\implies 16^{\frac{3}{2}\cdot \frac{1}{2}}\implies 16^{\frac{3}{4}}\qquad \boxed{16=2^4}\qquad (2^4)^{\frac{3}{4}}\implies 2^{4\cdot \frac{3}{4}}
\\\\\\
2^3\implies 8
6 0
3 years ago
Read 2 more answers
what equation is used to represent "three minus the difference of a number and one equals one-half of the difference of three ti
sesenic [268]
(n-1)-3=1/2(3n-4)
hope it hrlps
8 0
3 years ago
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