Solve using polynomial long division and show work:
(2x^3+ 12x²+13x-24)/
(x+3)

Answer:

8

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{Just do PEMDAS to solve for this equation; if you do not know what PEMDAS}\\\textsf{means, it simply means}\downarrow[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\textsf{In this given equation you’re doing:}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{8}\div\large\text{2 (2 + 2)}[/tex]

[tex]\large\text{2 + 2 = \boxed{\bf 4}}[/tex]

[tex]\large\text{8}\div\large\text{2(4)}[/tex]

[tex]\large\text{8}\div\large\text{2 = \boxed{\bf 4}}[/tex]

[tex]\large\text{4(4)}[/tex]

[tex]= \boxed{\large\text{\bf 16}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 16}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

about 38.48 square feet

Answer:

25

Step-by-step explanation:

do 60 and multipy it by 5 then 5/12

and turn it into a proper fraction

Answer:

25

Step-by-step explanation:

60 × [tex]\frac{5}{12}[/tex] = [tex]\frac{300}{12}[/tex]= 25

9514 1404 393

Answer:

  D)  infinitely many

Step-by-step explanation:

There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.

Answer:

8 Hours

Step-by-step explanation:

Since 4 painters painting one house takes 14 hours, then one person would take 56 hours to paint the whole house. Hence, 4 x 14 = 56. If 7 people painted the house, then 8 hours would be needed since 56 / 7 = 8.

4 people x 14 hours = House

56 hours = House

56 hours is required to paint a house.

7 people x H hours=  House

7 people x H hours = 56

(7 people x H hours)/ 7 = 56 / 7

You divide 7 on both sides to isolate H on one side.

H hours = 8

So H = 8 which is the amount of hours needed.

I Hope This Helps :)

Answer

Option 2, 4 and 5 :)

Step-by-step explanation:

Option 2 is already simplified to 20x + 30y

Option 4,

10*2x=20x and 10*3y= 30y so option 4 also simplifies to 20x + 30y

Next Option 5, 10*2x= 20x and 10*3y=30y. So it's also 20x + 30y

Answer:

a,b,d

Step-by-step explanation:  jusrt the answer, take my word u totally wont fail lol

The equivalent value of the expressions are solved by the exponents

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 25ˣ

On simplifying , we get

A = ( 5 . 5 )ˣ

A = ( 25 )ˣ

And , A = 5ˣ . 5ˣ

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

A = 5²ˣ

A = 25ˣ

Hence , the expressions are ( 5 . 5 )ˣ = 5²ˣ = 5ˣ . 5ˣ = 25ˣ

To learn more about exponents click :

https://brainly.com/question/28966438

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The complete question is attached below :

Which expressions are equivalent to the one below? Check all that apply.

25ˣ

Answer:

b and d

Step-by-step explanation:

Sum = 4

Product = -32

Factors = 8 , (-4)

x² + 4x - 32 = x² + 8x - 4x - 4*8

                   = x(x + 8) - 4(x + 8)

                  = (x + 8)(x - 4)

Answer:

one solution

Step-by-step explanation:

2( 4 + 1 0 ) = 8 +2 0   = 2 8 + 2 0

Subtract  

from both sides of the equation

Simplify  

Subtract  8  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution   = − 5 /2

Answer:

Step-by-step explanation:

[tex](\frac{4}{2}d^{2})^{3} =(2d^{2})^{3}\\\\= 2^{3}*(d^{2})^{3}\\\\=8d^{2*3}\\\\= 8d^{6}\\[/tex]

Hint: [tex](a^{m})^{n}=a^{m*n}\\\\[/tex]

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(16 - 2*2*2)/ (12-5*2)

(16 - 8)/(12-10)

8/2

4

Sorry, if this doesn't help.

Answer:

X = -3

Step-by-step explanation:

Answer: it would be C. a 225° rotation

Step-by-step explanation: I got it correct

Answer:

C

Step-by-step explanation:

Answer:

[tex]A=2833.71\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of the cylinder, h = 30 cm

The radius of the cylinder, r = 11 cm

We need to find the total surface area of the cylinder. The formula for the total surface area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2\\\\A=2\pi \times 11\times 30+2\pi \times (11)^2\\\\A=2833.71\ cm^2[/tex]

So, the total surface area of the cylinder is [tex]2833.71\ cm^2[/tex].

Answer:

I’m good at math but not that good

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

16/80=0.2 which is 20%

Answer:

193 seconds

Step-by-step explanation:

For this problem you'll have to divide so do -145÷-0.75 and your answer will be 193 seconds

Answer:

3950 feet squared

Step-by-step explanation:

So first you have to multiply 75 by 50, so that is 3750.

Next you have to multiply 20 by 10 and you get 200.

Finally you had both 3750 and 200 in order to get 3950 and that is why the total area of the farm is 3950 feet squared.

Answer:

a) x = 34

b) yes, it checks out

Step-by-step explanation:

2x - 5 = 3(4 + 1/2x)

multiply both sides by 2 to eliminate fraction

2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x

x - 10 = 24

x = 34

check

2(34) - 5 = 3(4 + 34/2)

68 - 5 = 3(4 + 17)

63 = 3(21)

63 = 63

Answer:

Your answer is

1.5<XZ<18.5

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:

-2(7) + -2(5g)

Step-by-step explanation:

Using the distributive property we can confirm that:

-2(7) + -2(5g) = -2(7+5g)

Answer:

−14−10g

Step-by-step explanation:

First, solve the product:

-2 ⋅ 7 - 2 ⋅ 5g

Multiply -2 times 7 to -14.

So, the equivalent expression would be:

-14 - 2 ⋅ 5g = -14 - 10g

-14 - 10g

Answer:

15

.......................

Answer:

2<7

Step-by-step explanation:

-7<=-2

-7+9<-2+9

2<7

Answer:

x=50

Step-by-step explanation:

40+65+25+x=180

Combine like terms

130+x=180

x=50

(triangles = 180)

Answer:

20x^2−2x−6

Step-by-step explanation:

(4x+2)(5x+−3)

=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)

=20x2−12x+10x−6

=20x2−2x−6

Solution :

We have to find the largest fraction in each group.

a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]

    [tex]$\frac{5}{6}$[/tex]  →  when we divide the number 5 with 6, we get 0.833

    [tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805

Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.

b).  [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]

     [tex]$\frac{5}{12}$[/tex]  →  when we divide the number 5 with 12, we get 0.416

    [tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375

Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.

c).  [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]

     [tex]$\frac{2}{5}$[/tex] →  when we divide the number 2 with 5, we get 0.40

    [tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42

Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.

d).  [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and  [tex]$\frac{19}{21}$[/tex]

      [tex]$\frac{5}{7}$[/tex] →  when we divide the number 5 with 7, we get 0.714

    [tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928

    [tex]$\frac{19}{21}$[/tex]  → when we divide 19 by 21, we get the value 0.904

Therefore, in this group, [tex]$\frac{13}{14}$[/tex]  is the largest fraction.