What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12

Answer:

-3.905

Step-by-step explanation:

0.095 - 20/5

0.095 - 4

-|4-0.095|

-|3.905|

-3.905

Answer:

145°

Step-by-step explanation:

As per the given information: quadrilateral ABCD is a parallelogram.

[tex] m\angle B + m\angle DCB =180\degree \\[/tex]

(adjacent angles of a parallelogram)

[tex] 110\degree + m\angle DCB =180\degree \\

m\angle DCB =180\degree - 110\degree \\

m\angle DCB =70\degree\\

m\angle DCG=\frac{1}{2} m\angle DCB \\(\because GC \: bisects \: \angle DCB) \\

m\angle DCF=\frac{1}{2}\times 70\degree... (\because C-G-F) \\

m\angle DCF=35\degree\\

m\angle BFC = m\angle DCF = 35\degree\\ (Alternate \: \angle s) \\\\

m\angle BFC + m\angle CFA = 180\degree\\ (straight \: line \: \angle s) \\\\

35\degree + m\angle CFA= 180\degree\\

m\angle CFA = 180\degree-35\degree \\\\

m\angle CFA= 145\degree \\\\

\huge\purple {\therefore m\angle GFA = 145\degree} \\(\because C-G-F) \\[/tex]

Answer:

2(8-d)

Step-by-step explanation:

16 - 2d

Answer:

2 x (8 - d)

Step-by-step explanation:

2 times means multiply by 2

difference of 8 and d means 8 minus d → 8 - d

Answer:

k=8/3

Step-by-step explanation:

Let's solve your equation step-by-step.

4k+7=7k−1

Step 1: Subtract 7k from both sides.

4k+7−7k=7k−1−7k

−3k+7=−1

Step 2: Subtract 7 from both sides.

−3k+7−7=−1−7

−3k=−8

Step 3: Divide both sides by -3.

−3k

−3

=

−8

−3

k=

8

3

The value of k is equal to 8/3 for the given expression.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The given expression is  4 K + 7=7 k-1, the value of k is calculated as,

4K + 7=7k-1

Separate the like terms in the above equation and solve for the value of k,

4K + 7=7k-1

7k  - 4k = 7 + 1

3k = 8

k = 8/3

Therefore, the value of k will be 8/3 in the given equation. The value of k = 4 is wrong.

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Answer:

-5x+4???

Step-by-step explanation:

I DON'T KNOW I'M SORRY

Answer:

-5x - 4

Step-by-step explanation:

3x - (8x + 4)

3x -8x -4

-5x - 4

Answer: b

Step-by-step explanation:

The correct answer is:

C) $4269.90.

Explanation:

40 hours per week at 18.32:

40*18.32 = 732.80.

Over time is time and a half; this means:

18.32*1.5=27.48 per hour overtime.

5 hours of overtime per week would be:

27.48*5=137.40.

Together this makes:

732.80+137.40=870.20 per week.

There are 4 weeks in a month;

4*870.20=3480.80.

You make 10% commission on the sales; 10% = 0.1.

0.1*7891=789.10.

Add this to the monthly income:

3480.80+789.10=4269.90.

Answer:

40%.

Step-by-step explanation:

Given that Raul made 8 of his 20 free throw attempts, it could be argued that he was 40% efficient on those free throws. This then 8/20 is equal to 0.40. Therefore, following this reasoning, it would be logical to say that Raul has a 40% chance of making his next shot, since that is his hitting percentage so far.

Answer:

2xx_{39}+x_{39}

Step-by-step explanation:

x 39 ( 2 x + 1 )

Use the distributive property to multiply x_{39} by 2x+1.

2x_{39}x+x_{39}

2xx_{39}+x_{39}

Step-by-step explanation:

3)

4(5)+3x=24.50

20+3x=24.50

-20        -20

3x=4.50

/3      /3

x=$1.50

5)

4x+2(8)=56

4x+16=56

   -16   -16

4x=40

/4    /4

x=10 tables

7)

1(12)+6x=33

12+6x=33

-12        -12

6x=21

/6    /6

x=$3.5

The answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

3)

Let x be the cost of each fry.

4×5 + 3x = 24.50

20 + 3x = 24.50

3x = 4.5

x = $1.5 each fry

5)

Let x be the number of tables for a four-person.

Couple means two persons.

56 - 2×8 = 4x

4x = 40

x = 10 four-person tables

7)

Let x be the cost of each order of ice cream:

12 + 6x = 33

x = $3.5 each order of ice cream.

Thus, the answer for part (3) is $1.5 each fry, answer for part (5) is 10 four-person table, and answer for part (7) is $3.5 each order of ice cream.

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Answer: x = 28

Step-by-step explanation:  

Trust me :)

Answer:

The value is [tex]n = 188 [/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.06[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

  Generally will assume that the sample proportion young adults in Louisville, Kentucky, who received help from their parents in buying a home is  [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.645}{0.06 } ]^2 * 0.5 (1 - 0.5 ) [/tex]

=>  [tex]n = 188 [/tex]

Answer:

Answer:

let it snow

Step-by-step explanation:

merry christmas

Answer:

A

Step-by-step explanation:

x is positive and y is negative

Answer:

$1,519

Step-by-step explanation:

Given that :

Balance = principal = $520

Time (t) = 6 years

Annual. Interest rate (r) = 18% = 0.18

Using the compound interest formula:

A = P(1 + r/n)^nt

n = number of times interest is applied per period ; A = final amount

Since interest is compounded monthly, n = 12

A = 520(1 + 0.18/12)^(12 * 6)

A = 520(1 + 0.015)^72

A = 520(1.015)^72

A = 520(2.9211579)

A = 1519.0021

Hence, final amount = $1519

Step-by-step explanation:

x²/(x²-9) + 1/(x-3) = 1/(4x-12)

4x² + 4(x+3) = 1

4x² + 4x + 11 = 0

Since the discriminant is negative, there are no real solutions.

Answer:

Step-by-step explanation:

Perimeter=2(10+7)

=2(17)

=34cm

Part 3

Checking account A has a monthly fee of $16 and a per-check fee of $0.08

If she writes x checks, where x is some nonnegative whole number, then she is charged an additional 0.08x dollars on top of the 16 dollar fee.

The total cost of checking account A is 0.08x+16 dollars.

The total cost of account B is 0.12x dollars for similar reasoning. We don't have a monthly fee, but the cost per check is higher.

Set the two expressions equal to one another to get your answer.

Answer:  0.08x+16 = 0.12x

==============================================

Part 4

Let's solve the equation we set up in part 3

0.08x+16 = 0.12x

16 = 0.12x-0.08x

16 = 0.04x

0.04x = 16

x = 16/0.04

x = 400

If Cecily wrote 400 checks per month, then the cost of each account would be the same.

For account A, it would cost her 0.08*x+16 = 0.08*400+16 = 48 dollars

For account B, it would cost her 0.12*x = 0.12*400 = 48 dollars.

Answer: 400 checks per month

Answer:

d = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5/6 = 1/3 + d

Step 2: Solve for d

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

[tex]216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s[/tex]

So, the rate of fall is 60 m/s.

If t = 20 s

Assume, initial velocity = 0

It will move under the action of gravity.

Using equation of motion,

[tex]h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m[/tex]

Hence, this is all for the solution.

Answer:

C - formula of area of rectangle is l×w

so 23×16

Answer:

5th

Step-by-step explanation: because its the half and the closest area of the figure

Answer:

why?

Step-by-step explanation:

Answer:

..is cereal a soup?

Step-by-step explanation:

is it tho?

Answer:

-1/2

Step-by-step explanation:

Answer: -1/2

Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)

Answer:

c I'm to 100 percent sure but if not it's b it's around 14 for sure

Answer:

B

Step-by-step explanation:

Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.