Which statement is true?

Answer:

[tex](x-1)^2(x+3)[/tex]

Step-by-step explanation:

For factorization the given expression you can use the Ruffini's rule.

First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].

[tex]3 = \{\pm1,\pm3\}[/tex]

Now replace each number in the polynomial

[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]

If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].

[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]

In the first row are the coefficients of the given polynomial.

In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].

The third row are the coefficients of the quotient polynomial (except the last that is the remainder).

[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]

Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to

[tex]x^2 + 2x -3[/tex]

So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:

[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]

So the last expression is:

[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

=2000000

So ratio is 1:2000000

Answer:

1:2000000.

Step-by-step explanation:

1 km = 1000m = 100*1000

= 100,000 cm

20 km = 2,000,000 cm.

This expression 40=4+(n-1)3 represents the correct arithmetic progression.

What is an arithmetic progression?

Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.

We have,

4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40

Arithmetic progression formula:

                             [tex]a_{n}=a_{1}+(n-1)d[/tex]

where

[tex]a_{n}[/tex] = the nᵗʰ term in the sequence

[tex]a_{1}[/tex] = the first term in the sequence

[tex]d[/tex] = the common difference between terms

By using arithmetic progression formula we can find last term of an Arithmetic series.

                    [tex]a_{n}=a_{1}+(n-1)d[/tex]

                    [tex]a_{n}[/tex]= 4 + (n-1)3

                    [tex]a_{n}[/tex] = 4 + (13-1)3

                     [tex]a_{n}[/tex]  = 40.

we have calculated the last term by using arithmetic progression formula which is 40.

Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.

To learn more about arithmetic progression from the given link,

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Answer:

log(A^8)

Step-by-step explanation:

because i learned it a bit early as a teen

Answer:

0.5236 radians or 30 degrees

Step-by-step explanation:

We want to find the angle based on the opposite side and the hypotenuse.  Therefore, we need to use the inverse sine function:

Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]

Simplifying the function, we get:

Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]

Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.

Step-by-step explanation:

sin θ = 5cm/10cm

sin θ = ½

sin θ = sin 30°

therefore, θ = 30°.

hope this helps you.

Answer:

21

Step-by-step explanation:

First, we have to find g(2)

Plug in 2 in the g(x) equation

g(2) = 5(2) = 10

Now, we have f(10)

Pug in 10 in the f(x) equation

f(10) = 2(10) + 1

f(10) = 20 + 1 = 21

Answer:

125,148 to the nearest person

Step-by-step explanation:

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Answer:

5.72

Step-by-step explanation:

(-16.75 + 16.75) = 0

0 + 5.72= 5.72

Therefore, the answer is 5.72

Answer:

1. M

2. H

3. A

4. K

5. B

6. C

7. G

8. E

and so on

Step-by-step explanation:

definitions to know:

same side interior/exterior angles

vertical angles

alternate interior/exterior angles

corresponding angles

Answer:

316 ls the next term greater than 312. in the sequence you are adding 4 to the preceding term

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

Answer:

x= 5/9

Step-by-step explanation:

y=-9x+5

0=-9x+5

9x=5

x=5/9

Answer:

60 degrees

Step-by-step explanation:

Because line ED exists, the sum of 100, 20, and x must be 180. So, just solve for x in the equation 100 + 20 + x = 180

20 + x = 80

x = 60

Answer:

No

Step-by-step explanation:

50 % off $60 =$30

20% off $30 =$6

But 70% =42

Therefore it's not the same as 70%

Step-by-step explanation:

Infinity means that it has no end to something

And undefined means something can't be defined

Answer:

Undefined means, it is impossible to solve.

Infinity means, it is without bound.

Answer:

f(4) = 1.4

Step-by-step explanation:

f(x) = (3x/2) - (14/3)

We are given that x = 4

f(4) = (3(4)/2) - (14/3)

f(4) = (12/2) - (14/3)

f(4) = 6 - (14/3)

14/3 as a decimal is 4.6

f(4) = 6 - 4.6

f(4) = 1.4 (approximately)

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

Answer:

cross-section

Step-by-step explanation:

prism is a type of three-dimensional (3D) shape with flat sides.

It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

The employee who did not have the same dollar amount in sales for the month of February as the other two employees is (a) Employee 1.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Earnings of three employees in the month of February are :

Employee 1 = 4.7 = $4700

Employee 2 = 4.9 = $4900

Employee 3 = 4.4 = $4400

Earnings of employee 1 = $2,000 + 3% on all sales

Let the amount of all sales be x.

2000 + (3% x ) = 4700

2000 + 0.03x = 4700

0.03x = 2700

x = 90,000

Earnings of employee 2 = 7% on all sales

Let the amount of all sales be x.

0.07x = 4900

x = $70,000

Earnings of employee 3 = 5% on the first $40,000 + 8% on anything over $40,000

Let the amount of sales be 40,000 + x.

(0.05 × 40,000) + (0.08 x) = 4400

2000 + 0.08x = 4400

0.08x = 2400

x = $30,000

Amount of sales = $40,000 + $30,000 = $70,000

Hence employee 1 did not have the same amount as the other 2 in February.

Learn more about Percentage here :

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Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...

Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.

Answer:

Step-by-step explanation:

Okay! What times 9 is 90? 10!

what times 8 is 72? 9!

what times 7 is 56? 8

what times 6 is 42? 7!

what times 5 is 30? 6!

what times 4 is 20? 5!

what times 3 is 12? 4!

Do you see the pattern?

9=90

8=72

7=56

6=42

5=30

4=20

3=12

2=6

1=2

HOPE THIS HELPPEDD :3

Step-by-step explanation:

I'm sorry could you maybe send more information so I could help you

Answer:

m1=90

m2=68

m3=112

m4=112

m5=68

m6=56

m7=124

m8=124

Step-by-step explanation:

Given:

Find the values of x using proportions:

or