what is the order from least to greatest with the numbers 5 13/30 5 1/6 5 68/90

The factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

The polynomial function is given as:

[tex]P(x) = x^3 + 4x^2 - 9x - 36[/tex]

Factorize the given expression.

[tex]P(x) = x^2(x + 4) - 9(x +4)[/tex]

Factor out x + 4

[tex]P(x) = (x^2 - 9)(x +4)[/tex]

Express 9 as the square of 3

[tex]P(x) = (x^2 - 3^2)(x +4)[/tex]

Apply the difference of two squares

[tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

Hence, the factorization of the expression by grouping is [tex]P(x) = (x - 3)(x + 3)(x +4)[/tex]

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Answer:

A.32

Step-by-step explanation:

Answer:

(-3, 5.5)

Step-by-step explanation:

To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.

(-7+1)/2 = -3

(8+3)/2 = 5.5

Answer:

(-3,5.5)

Step-by-step explanation:

(-7,8)

(1,3)

(-7+1)/2,(8+3)/2

-3,5.5

Answer:

x=2

Step-by-step explanation:

6x+3+2x+1+4x=12x+4

5x+5x+3x+2=13x+2

12x+4=13x+2

4-2=13x-12x

2=x

Answer:

X = -2

Step-by-step explanation:

3x - 8/2 = x - 6

3x - 8 = x - 6 × 2

3x - 8 = x - 12

3x - x = -12 + 8

2x = -4

X = -4/2

X = -2

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Answer: You ate 1920 calories

Step-by-step explanation:

It’s pretty simple,

all you have to do is multiply 6 by 320.

this then gets you 1920

Answer:

1920 calories

Step-by-step explanation:

6servings*320cal/servings = 1920cal (servings cancel)

Answer:

suma is 229,997

Step-by-step explanation:

229,997

Answer:

32 degrees

a triangle is = to 180 degrees

From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.

The residence of Santa Clause is popularly known as the North Pole.

According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km

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Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

Answer:

21

Step-by-step explanation:

70/10=7

So 7 people are 10% of the train.

10*3=30

7*3=21

21 empty seats

Answer

21

Step-by-step explanation:

Answer:

Let y=ax^2+bx+c be the equation of the parabola. Set up equations.

Using (0,5). 5=a(0)2+b(0)+c

5

=

a

(

0

)

2

+

b

(

0

)

+

c

Using (2,15), 15=a(2)2+b(2)+5

15

=

a

(

2

)

2

+

b

(

2

)

+

5

4a+2b=10

2a+b=5

Using (4,9)

9=a(4)2+b(4)+5

9

=

a

(

4

)

2

+

b

(

4

)

+

5

16a+4b=4

4a+b=1

Subtract each side of (1) and (2) to eliminate b and solve for a: -2a=4

a=-2

Solve for b using (1): 2(-2)+b=5

-4+b=5

b=9

So, the equation is y=−2x2+9x+5

Step-by-step explanation:

Answer:

10,9

Step-by-step explanation:

On the coordinate plane you see that the point A has to go 6 to the right and 3 up. So the ratio is: for every 2 side, there is one up. Point A does this 3 times to get to M so do three times. 6 to the right and 3 up and B is on 10,9.

Answer:

it is c

Step-by-step explanation:

me big brain

Answer:

Answer: 855

Step-by-step explanation:

I take it you want the total number of fruit? You should state the question. I will assume I am correct.

So 25% of 60 baskets = 25/100 * 60 = 15 baskets.

Each basic contains 12 pieces of fruits                     12 * 15 = 180

And 75% of 60 baskets = 0.75 * 60 = 45 baskets.

Each contains 15 pieces                                            45 * 15 = 675

The total number of fruit in all is                                              855

Answer :

4x-ay=15

Step-by-step explanation:

Answer:

A

[tex]^{}[/tex]

Answer:

Step-by-step explanation:

68 1/4

The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Assume the distance covered before their first stop for gas be 'x'

Total distance travelled is 381  miles

We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is

x + 3x + 58 3/4  = 381

4x + 58 3/4  = 381

x=68 1/4 in mixed fraction

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Answer:

40

Step-by-step explanation:

64 female

ratio of men to women is 5:8

5x:8x

where 8x = 64

so x = 8

5(8):8(8)

40:64

So there are 40 men.

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30

Answer:

Check the picture below

Step-by-step explanation:

Answer:

4 ounces

Step-by-step explanation:

6c = 24

c = 4

Answer: Noah can use 4 ounces per sandwich

an equation is c=24/6

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

Answer:

yes, this line will pass through the point of origin

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

We apply the quotient rule:

dy/dx = ( tanx * 3x^2 - x^3 * sec^2x)  /  (tan^2 x)

= x^2( 3tanx - xsec^2x) / tan^2x