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3 years ago

If b>1 in a function of the form f(x) = ab^x, is the function an example of exponential growth or exponential decay?

Mathematics

1 answer:

alex41 [277]3 years ago

3 0

Answer:

It's exponential growth.

Step-by-step explanation:

b/c any value of b that's greater than 1 is an exponential growth function, and anything that's 0<b<1 or if b<0, the function would be an exponential decay.

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3 years ago

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3 years ago

Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?

GaryK [48]

Answer:

Rachel earns per hour is $ 13.64 .

Step-by-step explanation:

As given

Rachel earned $85.25 for working $6 \frac{1}{4}$ hours.

i.e

Rachel earned $85.25 for working $\frac{25}{4}$ hours.

Now calculate earning of Rachel for 1 hour .

$Rachel\ earning\ for\ one\ hour = \frac{Total\ earning}{Total\ time}$

$Rachel\ earning\ for\ one\ hour = \frac{85.25}{\frac{25}{4}}$

$Rachel\ earning\ for\ one\ hour = \frac{85.25\times 4}{25}$

$Rachel\ earning\ for\ one\ hour = \frac{341}{25}$

$Rachel\ earning\ for\ one\ hour = \$ 13.64$

Therefore Rachel earns per hour is $ 13.64 .

7 0

3 years ago

Read 2 more answers

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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Which histogram represents the data in the frequency table showing the age of people leaving the library?

Yuki888 [10]

Answer:

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Step-by-step explanation:

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2 years ago