Are the following polynomial sets open or closed? 6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8) 7 (2 - x)(1 + 3x) 8. (5b - 3c)(7b - 3c)

Answer:

Step-by-step explanation:

as (c + 9)(c - 9) = c² - 81

and (c - 9)(c + 6) = c² - 3c - 54

    8(c + 6)        =         8c + 48        

(c² - 81)(c + 6)       (c - 9)(c + 9)(c + 6)

            10c(c + 9)     =     10c² + 90c        

(c² - 3c - 54)(c + 9)       (c - 9)(c + 9)(c + 6)

The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;

1.  8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are,

1. 8 / (c² - 81)

2. 10c / (c² - 3c - 54)

Now,

Solve the expressions for the denominator (c- 9) (c+9)(c + 6) as;

1. 8 / (c² - 81) = 8 / (c² - 9²)

                   = 8 / (c + 9) (c - 9)

Thus, 8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c² - (9- 6)c - 54)

                               = 10c / (c² - 9c + 6c - 54)

                               = 10c / [c(c-9) + 6(c - 9)]

                               = 10c / (c + 6) (c - 9)

Thus, 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

Therefore, The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;

1.  8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

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Answer:

I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.

Answer:

$39.55 for 7 pairs of jeans

Step-by-step explanation:

The LCM of 7 and 4 is 28, so I decided to use that as an example.

4×7=28

22.48×8=179.84

So if you wanted 28 jeans, you'd be paying $179.84

- - - - -

Now the first deal.

7×4=28

39.55×4=158.2

For 28 jeans, you'd be paying $158.20

For 28 jeans, the first choice offers a better deal than the other.

Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

Answer:  I can't find the answer :(

Step-by-step explanation: :(                                                                                                  

Answer:

-4*100^2 + 8 *100 + 8

-4 * 100^2 + 800 + 8

-4 * 10000 + 808

-40000 + 808

= -39192

-39192 is the answer

Step-by-step explanation:

Answer:

i think its the second graph

Step-by-step explanation:

Answer:

y=2x+1

Step-by-step explanation:

y-5/x-2=2

2x-4=y-5

y=2x+1

Answer:

x|x∈R(all real numbers)

y|y∈R(all real number)

Yes its is

Hope This Helps!!!

Answer:

B: (-2,-3)

Step-by-step explanation:

The problem basically wants you to find the vertex because that is the turning point of an absolute value graph where the slope goes from negative to positive immediately. B is the best choice because the vertex is translated 2 to the left and 3 down.

Answer:

Step-by-step explanation:

Mr. Anderson's rate is:

Given options, find rates and compare with the above number:

Answer:

11

Step-by-step explanation:

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

use the method:

is/of and %/100

plug in 55 for the percent, and 20 for 'of'

should be: x/20 and 55/100

cross multiply to get 11.

1%of 20 is 0.2 0.2x5=1         5% of 20 is 1

10% of 20 is 2 2x5=10          50% of 20 is 10

1+10=11

That is just how i do it to make it easier for others, and sometimes for me.

Answer:

Step-by-step explanation:

Applying the squaring rule to each of the elements of the domain, we get ...

  [tex]\begin{array}{cc}\text{Domain}&\text{Range}\\1&1\\-3&9\\-\frac{1}{2}&\frac{1}{4}\\3&9\\2&4\\\frac{1}{4}&\frac{1}{16}\\0.5&\frac{1}{4}\end{array}[/tex]

__

1. There are 7 different numbers in the Domain list.

2. See above

3. There are 5 different numbers in the Range list.

4. The rule "square me" is not "one-to-one" Two different values in the domain can result in the same value in the range. -3 and 3 both result in 9. -1/2 and 0.5 both result in 1/4.

Using relations in a right triangle, it is found that the sine of 23 degrees is given by:

D. 5/13.

The relations in a right triangle are given as follows:

Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:

sin(23º) = 5/13.

Which means that option D is correct.

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Answer:

gsdddddddddddddddddddddddddddd

Step-by-step explanation:

Answer:

Jackie

Step-by-step explanation:

Since Grace charges 30 an hour (540 divided by 18 is 30) and Jackie charges 40 and hour, so Jackie would charge more.

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18

Answer:

4

Step-by-step explanation:

Answer:

When I look at -2^2 I see two operations, a negation and a power (square). The convention in mathematical expressions is that powers are performed before negations (also before additions, multiplications and divisions) so to evaluate -2^2 you first square the 2 to get 4 and then apply the negation to arrive at -4.

With (-2)^2 the parentheses tell you to consider -2 as a single quantity and square it so (-2)^2 = (-2) × (-2) = 4.

I hope it's help

Answer:

<A is congruent to <O

Triangle SAN~TriangleJoe

There exists a sequence of rigid motion that maps Triangle JOE onto Triangle SAN

Step-by-step explanation:

So sorry if i am wrong!! I hope this can help!

Answer:

A

B

G

Angle A is congruent to angle O

Triangle SAN ~ Triangle JOE

There exists a sequence of rigid and non-rigid motions that maps triangle SAN onto triangle JOE

Step-by-step explanation:

Just got the question wrong, this was the correct answer

Answer:

x²+12x+36 =0

Step-by-step explanation:

Hii, so I'm assuming your equation is equal to 0-->

x²+_x+36 =0

this could go many ways..

x²+12x+36 =0

which factor to (x+6)(x+6)

x²+15x+36 =0

which factor to (x+12)(x+3)

x²+13x+36 =0

which factor to (x+9)(x+4)

If I had to choose a answer.. I would go with the 1st option x²+12x+36 =0

Hope this helps, if there was more to this question, leave a comment and I can come back and help you ;)

Answer:

Step-by-step explanation:

Answer:

O = 16.7 degrees

A = 73.3 degrees

Step-by-step explanation:

used a triangle calculator

Answer:

price = $190

quantity =  950 tickets

Step-by-step explanation:

revenue = price * quantity

n = number of $10 price reductions

price = 300 - 10n

quantity =  400 + 50n

r = (300 - 10n)(400 + 50n)

recognize these as the factors of a quadratic that opens down

the vertex will therefor be the maximum revenue

the roots are:

300 - 10n = 0

300 = 10n

n = 30

400 + 50n = 0

50n = -400

n = -8

vertex is at mid point of the roots

n = (-8 + 30)/2

n = 11

price = 300 - 10n

price = 300 - 10(11)

price = 190

quantity =  400 + 50n

quantity =  400 + 50(11)

quantity =  950

Step-by-step explanation:

2008because there is no difference between the number of sold notebooks

Answer:

A) -3/-11

Step-by-step explanation:

-3/-11-3/11

-3/-11

Reduce the fraction with -1.

3/11

Hope this help :)

Answer:

Step 1 of 2: Subtract.  

Subtract

(

negative 5 over 8  

−  

5

8

) − (

negative 4 over 3  

−  

4

3

) =  

17 over 24  

17

24

Step 1 of 2: Subtract, sub-step a: Subtract a negative.  

Subtract a negative

negative 5 over 8  

−  

5

8

− (

negative 4 over 3  

−  

4

3

) =  

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.  

Find common denominator

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

= −

( 5 × 3 ) over ( 8 × 3 )  

5 × 3  

8 × 3  

+  

( 4 × 8 ) over ( 3 × 8 )  

4 × 8  

3 × 8  

=  

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.  

Add

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

=  

(  

negative 15  

−15 + 32 ) over 24  

negative 15  

−15 + 32  

24

=  

17 over 24  

17

24

Answer:

The answer would be 17/24

Step-by-step explanation:

1. Common denominator is going to be 24. 3(-5/8) - 8(-4/3)

2. Next multiply. -15/24 + 32/24

3. After addition you get 17/24 or 0.7

Answer:

1.34

Step-by-step explanation:

2x67/100

= 134/100

= 1.34

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

Answer:

x - 23 = -22

x= -45

Step-by-step explanation:

x - 23 = -22

x = -22 - 23

x = -(22+23)

x = -45

Answer:

I don't know but I I would just say C maybe?

Answer:

I say do B

Step-by-step explanation:

B and C look approximately the same but B look smaller

If I’m wrong I’m srry :<