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2 years ago

Technology required. A function f gives the number of stray cats in a town t years since

Mathematics

1 answer:

8090 [49]2 years ago

4 0

This means that the number of stray cats in a town when the town started the animal control program is 729.

<h3>Exponential function</h3>

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Where f is the number of stray cats in a town t years since the town started an animal control program.

Since $f(t) = 729(\frac{1}{3} )^t$

f(0) = 729(1/3)° = 729

This means that the number of stray cats in a town when the town started the animal control program is 729.

Find out more on Exponential function at: brainly.com/question/12940982

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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)

choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

6 0

4 years ago

Read 2 more answers

How would you write an algebraic expression

ohaa [14]

I think it is:

1 cup = 26 grams of protein

s cups = 26 x s

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3 years ago

I need help this is hard for me and I have a few

VLD [36.1K]

Step-by-step explanation:

Subtracting N by T

(3a2 + 2a - 5) - (2a2 + a + 6)

Subtracting like terms

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3 years ago

Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours.

Elodia [21]

-- The whole discussion involves 4 rooms, never more and never less,
so we can call the 4 rooms "1 job" for simplicity.

-- Patrice, by himself, does the job in 10 hours. So he does 1/10 of
the job each hour.

-- Working together, Patrice and April do the job in 6 hours. So when
they work together, they do 1/6 of the job each hour.

-- April's part of the job is (1/6 - 1/10) = (5/30 - 3/30) = 2/30 = 1/15 job per hour.

-- Her unit rate alone is 1/15 job per hour, or <em>15 hours</em> per job.

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3 years ago

What is the solution of log 2 (3x-7) = 3

wel

$\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_2(3x-7)=3\implies 2^{\log_2(3x-7)}=2^3\implies 3x-7=2^3\implies 3x-7=8 \\\\\\ 3x=15\implies x=\cfrac{15}{3}\implies x=5$

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3 years ago