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2 years ago

Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x

Mathematics

1 answer:

olga_2 [115]2 years ago

7 0

Answer:

Initial amount: 20

Growth factor: The amount doubles for every integer increase of x

Step-by-step explanation:

I think the equation should be g(x) = 20(2^x) for it to be exponential.

The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.

We can see the amount double by evaluating a few value..

g(0) = 20(2^0) = 20(1) = 20 (initial amount)

g(1) = 20(2^1) = 20(2) = 40

g(2) = 20(2^2) = 20(4) = 80

g(3) = 20(2^3) = 20(8) = 160

This pattern will continue on

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What is the intersection of y=7 and y=1\2x+6

kotegsom [21]

Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7

and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so

to find the intersection, yo just find when both sentances are correct so

y=7
subsitute that into y=1/2x+6

7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x

so the point (2,7) is the intersection

8 0

3 years ago

3x+2.2is equal to x=1.7

Leviafan [203]

Answer:

7.3 answer

Step-by-step explanation:

x=1.7

now

3x+2.2

3×1.7+2.2

7.3

7 0

2 years ago

Which pair of numbers has a product of -24 and a sum of 10?

muminat

Answer:

-2;12

Step-by-step explanation:

it's too easy!

6 0

2 years ago

Read 2 more answers

Please help!! This is so confusing! 100 points!!

masya89 [10]

Answer:

The value of the expression given is:

Step-by-step explanation:

First, you must divide the expression in three, and to the final, you can multiply it:

[(3^8)*(2^(-5))*(9^0)]^(-2)
[(2^(-2))/(3^3)]^4
3^28

Now, we can solve each part one by one:

First part.

3^8 = 6561
2^(-5) = 0.03125
9^0 = 1 (Whatever number elevated to 0, its value is 1)
(6561 * 0,03125 * 1) = 205.03125

And we elevate this to -2:

205.03125^-2 = 2.378810688*10^(-5) or 0.00002378810688

Second part.

2^(-2) = 0.25
3^3 = 27
0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925

And we elevate this to 4:

0.00925925925925^4 = 7.350298528 * 10^(-9) or 0.000000007350298528

Third Part.

3^28 = 2.287679245 * 10^13 or 22876792450000

At last, we multiply all the results obtained:

0.00002378810688 * 0.000000007350298528 * 22876792450000 = 3.999999999999999999 approximately 4

We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result.

3 0

3 years ago

Read 2 more answers

Radical expression of 4d 3/8

DanielleElmas [232]

Answer:

$\boxed{4 \sqrt[8]{ {d}^{3} } }$

Step-by-step explanation:

$= > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} }$

8 0

2 years ago