Solve for x. Leave your answer in simplest radical form.

The degree of the polynomial P(x) is the highest power of the polynomial P(X)

A possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]

The given parameters are:

Roots of multiplicity 2 at x=1 and x=0

Root of multiplicity 1 at x= -5

Write out the roots

x=1 and x=0 ------- Multiplicity 2

x = -5  ------- Multiplicity 1

Equate the roots to 0

x - 1 = 0 and x = 0 ------- Multiplicity 2

x + 5= 0  ------- Multiplicity 1

Place the multiplicities as the exponents of the roots

(x - 1)^2 = 0 and x^2 = 0

(x + 5)^1 = 0

Multiply the expressions

[tex](x - 1)^2 * x^2 * (x + 5)^1 = 0 * 0 * 0[/tex]

This gives

[tex](x - 1)^2 * x^2 * (x + 5) = 0[/tex]

Rewrite as:

[tex](x + 5)x^2(x - 1)^2 = 0[/tex]

Replace 0 with P(x)

[tex]P(x) =(x + 5)x^2(x - 1)^2[/tex]

Hence, a possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]

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Answer:

90 degree angle and arc

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of a straight line we only need two points off of it, hmmm let's use from the table (-1 , 13) and (2 , 1)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4[/tex]

The required rate of change in the slope-intercept form is -4. Option A is correct.

The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Two coordinates from the table,
(-2, 17) and (-1, 13)
Now,
Rate of change = slope of the function = (13 - 17) / (-1 - (-2))
                                                                 = -4 / 1
                                                                 = -4

Thus, the required rate of change in the slope-intercept form is -4. Option A is correct.

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Answer:

Step-by-step explanation:

make me brainliest pls and follow me

Answer:

12/5 or 2,2/5

Step-by-step explanation:

[tex]3 \times \frac{4}{5} [/tex]

[tex] = \frac{12}{5} [/tex]

[tex] = 2 \frac{2}{5} [/tex]

pls give brainliest

Answer:

Step-by-step explanation:

If the person who sent “good talk good talk ” message to you is someone you know very well, but you have not heard from him or her for quite a while, answering with “What took you so long? I missed you!” will be the perfect reply. Simply asking back with “How are you” without any greetings is also fine.

Answer:

speak nice

Step-by-step explanation:

Answer:

The answer is True

cake sold today :- 85

cake sold yesterday :- X

relationship between caked sold :-

Today cake sold = cake sold yesterday- 16 (ATQ)

85 = x -16

85+16= x = 101 cakes

so Arvin sold 101 cakes yesterday

Answer:

Its 101

Hope this will help you

Step-by-step explanation:

Cake he sold today-85

Let the cake he sold yesterday be x,

x = 85+16

Therefore, x= 101

Therefore, He sold 101 cakes yesterday

Answer:

1/7 of 21 is 3.

Step-by-step explanation:

If we multiply 1/7 by 21/1, we can 21/7. 21/7 is equivalent to 3.

Answer:

6 x a number - 9 = factored

In this case, since the number is not declared as a specific number, this is the key to us factoring.

Like the number could be 6. ↓

Factoring:

[tex]6*6-9=27\\6*3-9=9\\6*9-9=45[/tex]

bonus even factor:

[tex]6*2-9=3[/tex]

These are factors and Least common multiples of 6 and 9.

Because 9 and 3 show up during half of the problem, and these are related to 6 and 9, the parents, we could measure this on a mathematical scale that this proves the factors correct.

There are other ways to factor this. See comments.

Answer:

- 1/2

Step-by-step explanation:

I did the math and got the answer -1/2

Answer:

The ratio is 2:3.  10m:15m is the fraction 10/15.  Reduce to 2/3.  The ratio is 2:3.

Step-by-step explanation:

Answer:

the aswer is 4940

Step-by-step explanation:

6500-24%

=4940

Answer:

4940

Step-by-step explanation:

Find 24% of 6500

6500 * 0.24 = 1560

Then subtract the product from 6500

6500 - 1560 = 4940

Answer:  0

Step-by-step explanation:

Rewrite as y = mx + b form, where m is slope and b is the y-intercept.

2y - 3 = -4 + 7

     2y = 3

       y = 3/2

There is only the y- intercept, 3/2, therefore the slope is 0.

The area covered if the side measures 5 meters. is 34.68 m²

The area of the shown figure is given as:

Area of the figure = area of square + area of a semicircle

Area of square = 5^2 = 25 square meters

Area of semicircle = πr²/2

Area of semicircle = (3.14)(2.5)²/2

Area of semicircle =9.6875 square meter

Area of the figure = 25 + 9.6875

Area of the figure = 34.68 square metres

Hence the area covered if the side measures 5 meters. is 34.68 m²

Learn more on area of composite shapes here: https://brainly.com/question/17286652

Answer:

398 * 1.034^t

Step-by-step explanation:

P = 398(1 + 3.4%)^t = 398 * 1.034^t

Answer:

C

Step-by-step explanation:

Label the two equations:

-2x -y= 9 -----(1)

2x -9y= 1 -----(2)

(1) +(2):

-2x -y +2x -9y= 9 +1

-2x +2x -y -9y= 10

Simplify:

-10y= 10

y= 10 ÷(-10)

y= -1

Substitute y= -1 into (2):

2x -9(-1)= 1

2x +9= 1

2x= 1 -9

2x= -8

x= -8 ÷2

x= -4

Thus, the solution is (-4, -1).

point slope equation formula: y - y1 = m (x - x1)

(-1,4) (-2,1)

answer:

1 -4 = 3 (-2+1)

Answer:

Step-by-step explanation:

y= john's balls

y+2+y = 18

2+2y = 18

Answer:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))       is the answer

Step-by-step explanation:

hope this helps

Answer:

[tex]log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)[/tex]

Step-by-step explanation:

[tex]5log_5(x)-\frac{1}{4}log_5(8-x)\\ \\log_5(x^5)-log_5((8-x)^{\frac{1}{4}})\\\\log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)[/tex]

Answer:

length

Step-by-step explanation:

because 9/10 will be:

9 divided by 10= 0.9

and 0.85 is greater than 0.9

Answer:64.62

Step-by-step explanation:

Step-by-step explanation:

Answer:

[tex]b)\ 6\frac{1}{4}[/tex]

Step-by-step explanation:

Which is the product of 15 and 5/12

[tex]15*\frac{5}{12} \\\\\frac{15}{1} *\frac{5}{12}\\\\\frac{5}{1}*\frac{5}{4}\\\\ \frac{25}{4} \\\\6\frac{1}{4}[/tex]

Hope this helps!

Hi!

Your answer is B.

Given:

[tex]15*\dfrac{5}{12}[/tex]

Change [tex]15[/tex] into a fraction by putting it over [tex]1[/tex]

[tex]\dfrac{15}{1} * \dfrac{5}{12}[/tex]

Multiply the numerators and the denominators by each other:

[tex]\dfrac{15*5}{12*1} =\dfrac{75}{12}[/tex]

Simplify:

[tex]\dfrac{75/3}{12/3} = \dfrac{25}{4}[/tex]

Mixed number form = [tex]6\dfrac{1}{4}[/tex]

Answer:

400 = 1600 ( 6 -0.5x )

distruibite

9600-800x=400

-9600

-800x=-9200

get rid of negitive

800x=9200

divide by 800

x=11.5

Hope This Helps!!!

Answer:

4250

Step-by-step explanation:

Anything under this would round down to 4200