please explain this in steps please friends​

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Answer:

1. That means as the X value decreases the y value increase

2. That means it's a negative Line.

3. The slope is negative

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

ive seen that question b4

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus,  2 pounds of flour are required to make 1 recipe, as of the given condition.

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s +10 = 25.

There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Answer: 4 Cups

I think in order to solve this, you would need to add up the fractions that they used. So it would be,

[tex]\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{7}{8}[/tex]   Transform the Expressions

[tex]\frac{1+1}{4} +\frac{3+3+5+5+5+7}{8}[/tex]    Calculate the sum

[tex]\frac{2}{4} +\frac{28}{8}[/tex]    Reduce

[tex]\frac{1}{2}+\frac{7}{2}[/tex]   Transform the Expression

[tex]\frac{1+7}{2}[/tex]   Calculate

[tex]\frac{8}{2}[/tex]  Reduce the Fraction

[tex]4[/tex]

Please mark brainliest if this helped you :)

Answer:

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

Answer:

6.6

Step-by-step explanation:

10x(x)=66

x=66/10

x=6.6

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

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[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]

[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]

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Answer:

About 3%

Step-by-step explanation:

3% of $167,000 is $5,010

5010 times the 20 years is 100200 add that to the 167000 and you get $267,200

The actual answer is about 2.4% but 3% is the closest.

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

Answer:

5/24 or 20.8%

Step-by-step explanation:

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Answer:

540°

Step-by-step explanation:

When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that always add up to 180°

A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...

180 x 3 = 540

Answer:

The answer is 123

5

→

✔ 12 1/2

3

8

→

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

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Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

Answer:

Total earned= $273

Step-by-step explanation:

Giving the following information:

Regular labor hours= $5.25

Overtime labor hours= $5.25*1.5= $7.875

To calculate the total earned, we need to use the following formula:

Regular labor hours= 40*5.25= 210

Overtime labor hours= 8*7.875= 63

Total earned= 210 + 63

Total earned= $273

Answer:

1. 795, 23

2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins

3. $276, 71 cars

Step-by-step explanation:

1. your equation: y = 35x + 235

plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235

you get y = 795

for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x

your equation: 1024 = 35x + 235

solve to get x = 22.54

this rounds up to 23, so your answer is 23

2. multiply 8 times 4 to get 32

subtract 32 from 82 to fin how many she has left

you get 50

for the second part, divide 82 by 4 to find how many day it will take to finish her candy

you get 20.5

so no, she will not have candy to share with her cousins, and she will finish her candy on November 21

3. for this, you have a negative y intercept since you need to make $24 to start profiting

your equation: y = 6x - 24

plug in 50 to x: y = 6(50) - 24

you get y = 276

so you make $276 with 50 cars

for the second part, plug in 400 to y: 400 = 6x - 24

solve to get x = 70.66

this rounds up to 71, so your answer is 71

Answer:

-3/2

Step-by-step explanation:

Rise = -3

Run     2

Answer:hiiiii

Step-by-step explanation:

lol

Answer:

uh

Step-by-step explanation:

l

Answer

1.<     2.>

Step-by-step explanation:

1. 9x4/5= 7.2<9

2. 4x6/5= 4.8>4

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48