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3 years ago

Which table represents exponential growth?

Mathematics

2 answers:

bearhunter [10]3 years ago

7 0

Answer:

Step-by-step explanation:

The exponential function $y=a^x$ shows the exponential growth if $a>1.$

Consider choice B.

If x=1, then $y=2=2^1;$

if x=2, then $y=4=2^2;$

if x=3, then $y=8=2^3;$

if x=4, then $y=16=2^4.$

This means that the function $y=2^x$ represents the table B.

posledela3 years ago

5 0

ANSWER

See attachment

EXPLANATION

The table that represent a geometric sequence is the one shown in the attachment with y-values

$2,4,8,16,...$

We can see that, the subsequent term is obtained by multiplying the previous term by 2.

In other words, there is a bit ratio of 2.

Here the table represents a geometric sequence.

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Answer:

s = - 1 ± $\sqrt{7}$

Step-by-step explanation:

Given

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s² + 2s = 6

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add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

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3 years ago

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juin [17]

Answer:

y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

y1 = a·b^(x1)

y2 = a·b^(x1)

Divide the second equation by the first:

y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

(y2/y1)^(1/(x2 -x1) = b

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In summary:

b = (y2/y1)^(1/(x2 -x1))
a = y1·b^(-x1)

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

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The exponential function is ...

y = 5·4^x

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3 years ago

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chubhunter [2.5K]

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divide 5

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divide 7

y=5/7x+1.3'

'notice'

you can put 2.2 into a fraction (11/5) and 1.3 (9/7) if your teacher allows it, but i put them into decimals

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3 years ago

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Brums [2.3K]

Answer:

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If the centre is not given find the end points of the diameter

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