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Ray Of Light [21]
3 years ago
5

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

masya89 [10]3 years ago
5 0

We have to determine the complete factored form of the given polynomial

f(x)=6x^3-13x^2-4x+15.

Let x= -1 in the given polynomial.

So, f(-1)= 6(-1)^3-13(-1)^2-4(-1)+15 = -6-13+4+15 = 0

So, by factor theorem

(x+1) is a factor of the given polynomial.

So, dividing the given polynomial by (x+1), we get quotient as 6x^2-19x+15.

So, 6x^3-13x^2-4x+15 = (x+1)6x^2-19x+15.

= (x+1)(6x^2-10x-9x+15)

=(x+1)[ 2x(3x-5)-3(3x-5)]

= (x+1)(2x-3)(3x-5) is the completely factored form of the given polynomial.

Option D is the correct answer.

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Step-by-step explanation:

12 - 11 = 1 (hour)

50 - 45 = 5 (minute)

3 0
3 years ago
Please help thank you!!
Dmitry [639]

Answer:

<h2>a. V = 420 cm³</h2><h2>b. V = 444 in³</h2><h2>c. V = 108 cm³</h2><h2>d. V = 324 m³</h2>

Step-by-step explanation:

We have the rectangular prisms.

The formula of a volume of a rectangular prism is:

V=lwh

l - length

w - width

h - height

==========================================

Look at the picture.

a.

Two congruent rectangular prisms 14cm × 3cm × 5cm.

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b.

One rectangular prism 15in × 4in × 6in and next 7in × 4in × 3in:

V=15\cdot4\cdot6+7\cdot4\cdot3=360+84=444\ in^3

c.

One rectangular prism 10cm × 3cm × 2cm and next 4cm × 3cm × 4cm:

V=10\cdot3\cdot2+4\cdot3\cdot4=60+48=108\ cm^3

d.

One rectangular prism 10m × 3m × 6m and next 8m × 3m × 6m:

V=10\cdot3\cdot6+8\cdot3\cdot6=180+144=324\ m^3

4 0
3 years ago
Frank and Latoya each ran every day as part of an exercise routine. Frank ran
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drek231 [11]
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Answer:

The maximum amount of money that should be spent on housing each month is $522.

The maximum amount of money that should be spent on transportation each month is $290.

The maximum amount of money that should be spent on food each month is $246.50.

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7 0
3 years ago
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