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nadezda [96]
2 years ago
12

Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh

ich of the following is true?
f(x) is decreasing for all x > –9
f(x) is increasing for all x < –9
f(x) is increasing for all x > –4
f(x) is decreasing for all x > –4
Mathematics
1 answer:
gavmur [86]2 years ago
8 0

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4.The correct answer is option C.

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

f(x) =\dfrac{x-4}{x^2+13x+36}

Expand the denominator

f(x) =\dfrac{x-4}{x^2+4x +9x+36}

Factorize the denominator

f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}

Factor out x + 9

f(x) = \dfrac{x-4}{(x+9)(x+4)}

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4

Read more about functions at:

brainly.com/question/1851758

#SPJ1

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saveliy_v [14]

A temporary dental material that would most likely be used to replace the lost filling be reinforced zinc oxide- eugenol composition.

A temporary restoration material is used to keep the patient comfortable for a short period of time. It <u>prevents the dislocation</u> of tooth and maintain functionality.

So, a <u>temporary dental material</u> that would most likely be used to replace the lost filling be reinforced zinc oxide- eugenol composition.

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6 0
3 years ago
Surface area of a box 12 x 6 x 9.5
Ber [7]

9514 1404 393

Answer:

  486 square units

Step-by-step explanation:

Use the surface area formula with the given numbers.

  SA = 2(LW +H(L +W))

  SA = 2(12·6 +9.5(12 +6)) = 2(72 +9.5(18)) = 486

The surface area of the box is 486 square units.

4 0
3 years ago
This for whoever wants to get 15 points for free.......Your welcome
Kobotan [32]

Answer:THANK YOUUUUUUU

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ignore my answers but pls solve and be correct
KiRa [710]

Answer:

The first one is 60 and the second one is 12

Step-by-step explanation:

5*12=60    6*12=72     72-60=12

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=400%20%5Cdiv%205%200" id="TexFormula1" title="400 \div 5 0" alt="400 \div 5 0" align="absmiddl
lyudmila [28]
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