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3 years ago

What is the expression in factored form? 9x^2-4 show all work

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

Answer:

$(3x+2)(3x-2)$

Step-by-step explanation:

we know that

A binomial is a Difference of Squares if both terms are perfect squares

we have

$9x^{2} -4$

$9x^{2}=(3x)^{2}$ ---> is a perfect square

$4=(2)^2$ ----> is a perfect square

Both terms are perfect squares

The difference of squares is

$9x^{2} -4=(3x+2)(3x-2)$ ----> by difference of squares

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The difference of two and a number is at least negative one

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3 years ago

Question 12 1 pts If the population of a country is reported in the year 1990 as 471.56 million and in the year 2000 as 492.53 m

I am Lyosha [343]

Answer:

526.39 million

Step-by-step explanation:

The exponential equation can be written as ...

p(t) = 471.56(492.53/471.56)^(t/10)

Then p(25) ≈ 525.75 . . . . million

The closest answer choice is 526.39 million.

<em>Comment on the answer choice</em>

Reverse-engineering the answer, we find it was computed using the exponential equation ...

p(t) = 471.56e^(0.0044t)

p(25) = 471.56·1.116278 ≈ 526.39

The k factor in the exponent is <em>inappropriately rounded</em> from 0.004350903. You cannot use a 2-significant-figure constant to arrive at an accurate 5-significant-figure answer.

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3 years ago

Suppose that the cost of producing n pairs of shoes is given by the expression c(n)=30+5n. the average cost of producing a pair

makkiz [27]

<h3>Given</h3>

$c(n)=30+5n\\a(n)=\dfrac{c(n)}{n}$

$\dfrac{d}{dn}(a(n))\quad\text{at n=10}$

<h3>Solution</h3>

$\dfrac{d}{dn}(a(n))=\dfrac{d}{dn}\left(\dfrac{30+5n}{n}\right)=\dfrac{d}{dn}\left(30n^{-1}+5\right)\\\\=-30n^{-2}\\\\=-30\cdot 10^{-2}\qquad\text{at n=10}\\\\=-0.30$

The derivative of the average cost function at n=10 is -0.30.

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What is the answer to this?

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The triangle look late but you can bring it around

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