Which of the numbers below are some potential roots of p(x) 36x2 -7x-60 according to the rational root theorem?

Answers

Answer 1

Answer:

Answer:

$\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,\pm 60,\pm (1)/(2),\pm (3)/(2),\pm (5)/(2),\pm (15)/(2),\pm (1)/(3),$

$\pm (2)/(3),\pm (4)/(3),(5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(3),\pm (2)/(3),\pm (4)/(3),\pm (5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(4),\pm (3)/(4),\pm (5)/(4),$

$\pm (15)/(4),\pm (1)/(6),\pm (5)/(6),\pm (1)/(9),\pm (2)/(9),\pm (4)/(9),\pm (5)/(9),\pm (10)/(9),\pm (20)/(9),\pm (1)/(12),\pm (5)/(12),\pm (1)/(18),\pm (5)/(18),\pm (1)/(36)$

Step-by-step explanation:

The given polynomial is

$p(x)=36x^2-7x-60$

We need to find the potential roots of given polynomial according to the rational root theorem.

According to the rational root theorem, the potential roots are

$x=\pm (p)/(q)$

where, p is a factor of constant term and q is the factor of leading term.

In the given polynomial constant term is -60 and leading term 36.

Factors of 60 are ±1,±2,±3,±4,±5,±6,±10,±12,±15,±20,±30,±60.

Factors of 36 are ±1,±2,±3,±4,±6,±9,±12,±18,±36.

Now, the potential roots are

$\pm 1,\pm 2,\pm 3,\pm 4,\pm 5,\pm 6,\pm 10,\pm 12,\pm 15,\pm 20,\pm 30,\pm 60,\pm (1)/(2),\pm (3)/(2),\pm (5)/(2),\pm (15)/(2),\pm (1)/(3),$

$\pm (2)/(3),\pm (4)/(3),(5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(3),\pm (2)/(3),\pm (4)/(3),\pm (5)/(3),\pm (10)/(3),\pm (20)/(3),\pm (1)/(4),\pm (3)/(4),\pm (5)/(4),$

$\pm (15)/(4),\pm (1)/(6),\pm (5)/(6),\pm (1)/(9),\pm (2)/(9),\pm (4)/(9),\pm (5)/(9),\pm (10)/(9),\pm (20)/(9),\pm (1)/(12),\pm (5)/(12),\pm (1)/(18),\pm (5)/(18),\pm (1)/(36)$

Answer 2

Answer:

Answer:

This expression can not be factored with rational numbers.

The polynomial is not factor able with rational numbers.

Step-by-step explanation:

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what are 3 non-equivalent fractions with values between the square root of 56 and the square root of 58

Answers

square root of 56 = 7.483314774
square root of 58 = 7.615773106

so we just need to come up with fractions that are between about 7.4833 and 7.6158

7.5 = 7 1/2 or 15/2
7.55 = 7 11/20 or 151/20
7.6 = 7 3/5 or 38/5

15/2
151/20
38/5
are your fractions

*Note: there are many other possible answers, I was just exemplifying a few.

$√(56) \approx7.48\n√(58) \approx7.62$

So these fraction can be:
$7.5=7(5)/(10)=7(1)/(2)=(15)/(2)\n7.56=7(56)/(100)=7(14)/(25)=(189)/(25)\n7.6=7(6)/(10)=7(3)/(5)=(38)/(5)$

If mZBCD = 51°, solve for x.
(1 4x + 4) 8
55°

Answers

Answer:

(14x+4)8=55 were x = 3.07.

Step-by-step explanation:

(14x + 4) 8 = 55

-8 -8

14x + 4 = 55

- 4 -4

14x = 55

x = 3.07

Anu drinks 2 cups of water each day. Jan drinks twice as much water as Anu.How many fluid ounces does Jan drink?

Answers

Simple,

first find out how many fluid ounces there are in 1 cup

1 cup=8 fluid ounces

That means for Anu:

2*8=16

Anu has drunk 16 fluid ounces.

Now, Jan, we know that she drinks 2x (twice) as much as Anu...

So,

4 cups:

4*8=32

Thus, it means that Jan has drunk 32 fluid ounces.

you would have to first find out how many fluid ounces are in on cup and there are 8. then you have to times 8 by 2 and you get how much anu drinks and that is 16 and then you have to times 16 by 2 to get jens

Cone A has a radius of 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the volume of Cone A is 48 ft^2, find the volume of Cone B.

Answers

Answer:

750 ft^3

Step-by-step explanation:

Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

$(RadiusB)/(RadiusA)=(30)/(12)=2.5$

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;

volume scale factor = (linear scale factor)^3

= 2.5^3 = 125/8

The volume of Cone B will thus be;

volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3

2x+3x+2y+3z what is the answers

Answers

the answer is 5x+2y+3z

Ellie and heather drew floor models of their living rooms. Ellie's model represented 20 feet by 15 feet. Heathers model represented 18 feet by 18 feet. Whose floor model represents the greater area? How much greater?