Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation

Answers

Answer 1

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5


Related Questions


Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.

Please Help. Urgent


What is the scale factor?

A. 0.4
B. 1.5
C. 2.5
D. 5

Answers

The answer to the equation is 2.5

what is the approximate circumference of a plate with a diameter of 12 inches? use 3.14 for π. Round to the nearest hundredth if necessary. (I really need this it's a test)​

Answers

Answer:

37.7

Step-by-step explanation:

C=πd=π·12≈37.69911

rounded to the nearest hundredth 37.7.

hoped this helped.

PLS DO THIS
NO LINK I WILL REPORT U​

Answers

Answer:

The mode is the number that occurs the most which would be 8.

Step-by-step explanation:

For example

2, 3, 4, 4, 5

The mode would be 4 since it's the most frequent.

2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.

Answers

Answer:1

Which of the following functions has a line of symmetry of x = 2?

Step-by-step explanation:

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 66)?
A. y=0.25x+3
B. y=0.25x-4.5
C. y=4x+18
D. y=4x-42

Answers

i think maybe B, not sure

pls help bro plsss pls pls

Answers

Answer:

A 13.7>13.07

Step-by-step explanation:

13.7. I hope this helps and is correct!

PLS HELP IF U DONT KNO DONT ANSWER PLS

Answers

Answer: A, I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

→ Thanks ← God bless keep ur head up king/queen and have a good rest of ur day

HWLP PLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZ

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

4x + 32 =60       -32  -32______________4x/4=28/4divide this (28/4) and your answer should be 7 hours

write 3^n / 9^n-1 as a power of 3

Answers

Answer:

(1/3)³ = 1/27

Step-by-step explanation:

(3^n / 9^n-1)^3 =

3^3n / 1 x 1 / 9^3n-3 =

(1/3)^3 = 1/27

i need help pleeeeease

Answers

Answer:

5

Step-by-step explanation:

because by solving that the answer comes 5.70

Figure 2 is a scale image of Figure 1, as shown below.
What is the scale factor applied to Figure 1 to produce Figure 2

Answers

Answer:

1.3

Step-by-step explanation:

when you divide figure 2 by figure 1 you get 1.3

Explain why triangle ABC is similar to triangle CFE

Answers

Answer:

It's exactly the same, except the size

Step-by-step explanation:

Answer:

They are similar because if you look at the length of 2 of the sides that you know

Triangle ABC has side length 1 and 2 or 1:2

CFE has sides length 2 and 4 or 2:4 and 2:4 can also be written as [tex]\frac{2}{4}[/tex] which is a fraction, and fractions can be simplified to 1:2.

So they are similar but just one is bigger then the other.

A rabbit population triples every year. If the rabbit population starts with 4 rabbits, then how many will there be in 6 years?

Answers

Answer:

there would probably be around 60 rabbits

In the circle below, UW is a diameter. Suppose m VW = 132º and mWVX=21°. Find the following

Answers

Answer:

sooooooooooooooo

Step-by-step explanation:

um

area of triangle with
width= 18cm
breadth=14cm
height=11cm

Answers

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

The box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale.



Which measure of variability can be compared using the box plots?



interquartile range



standard deviation



mean



median

Answers

Answer:

Interquartile age

Step-by-step explanation:

The box plots that is being referred to are missing, however, we can still answer this without the box plots.

The appropriate measure of variability that can be easily determined by a box plot is the interquartile range. Which is the difference between the 3rd quartile and the 1st quartile.

On a box plot, the first quartile is the data value ta the beginning of the edge of the rectangular box while the third quartile is at the end of the edge of the rectangle box. So, this makes is easy for use interquartile range as a measure of variability when comparing both.

Answer:

Interquartile range (IQR)

explanation:

Mean and median are both measures of center so it can't be those two, and the standard deviation is a measure of variability but only when the graph, box plot or any other type of graph is symmetric

Hope it helps!

Solve each problem.
29. It is 385 miles from Al's house
to his grandparents' house. It
takes Al's family 7 hours to
drive there. What is their rate
of speed in miles per hour?

Answers

Answer:

rate is 55 i think

Step-by-step explanation:

take 385 ÷ 7 and you get how far they travel in one hour

max finds the product of 3/7 x 16. Which statement is true

Answers

It equals 48/7 or 6 6/7

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!!

Answers

Answer:

h = 3 cm

Step-by-step explanation:

The volume (V) of a rectangular prism is calculated as

V = Ah ( A is the area of the base and h the height )

Here V = 36 and A = 6 × 2 = 12 cm² , then

12h = 36 ( divide both sides by 12 )

h = 3

Answer: 3 cm

Step-by-step explanation:

The formula to solve the volume of a rectangular prism is V = l x w x h

Where V is volume, l is length, w is width, and h is height

Givens are, Volume = 36 cm3

length = 6 cm

width = 2 cm

Now, we will plug in the numbers to the formula

36 cm3 = 6cm x 2cm x h

36 cm3 = 12 cm2 x h

divide 12cm2 on both sides

36cm3/12cm3 = h

h = 3cm

You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up $120 per year. What would be the monthly rent during the 8th year of living in the apartment?

Answers

Answer:

2140

Step-by-step explanation:

Year one.                         1300

year 2.         120.               1420

year 3.         120.              1540

year 4.         120.              1660

year 5.         120.              1780

year 6.         120.              1900

year 7.         120.              2020

year 8.         120.              2140

or

7 x 120=840

1300 + 840 = 2140

What are some properties and uses of the square root function?

Answers

Answer:

The domain of the square root function f(x)=√x is given in interval form by: [0,+∞)

The range of the square root function f(x)=√x is given in interval form by: [0,+∞)

The x and y intercepts are both at (0,0)

The square root function is an increasing function.

jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children.

Based on the data in this bar graph, which movie received 20% of the total votes? How do you know?

Answers

Answer: 191 students and ninety seven 10th graders were surveyed

Step-by-step explanation:

An art teacher makes a batch of purple paint by mixing 34 cup red paint with 34 cup blue paint. If she mixes 13 batches, how many cups of purple paint will she have?

Answers

Answer: 19 and 1/2 cups

Step-by-step explanation:

write out the problem then do 3/4 then multiply by 13. Next, multiply the answer by 2.

Hope this helps!

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

6_7/8 Rename the mixed number by regrouping?

Answers

Answer:

We have 5 slices and

each whole is made up

of 4 slices,

.

We have 6 slices and

each whole is made up

of 4 slices,

.

Altogether, we have 2

wholes and 3 quarters,

Step-by-step explanation:

Step 1: Keep the denominator the same.

Step 2: Add or subtract the numerators.

Step 3: If the answer is an improper form, reduce the fraction into a mixed numbe

To solve the equation 34x=15, Abby multiplied both sides by ¾ and got a solution of x=1114. Explain the error that Abby made and then find the correct value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

3/4x = 15

Abby's calculation:

3/4x = 15

Multiply both sides by 3/4

x = 1114

Abby's error was multiplying both sides by 3/4 instead of dividing both sides by 3/4 to get the value of x

Correct calculation:

3/4x = 15

Divide both sides by 3/4

3/4x ÷ 3/4 = 15 ÷ 3/4

x = 15 × 4/3

x = 60/3

x = 20

Check:

3/4x = 15

3/4*20

= (3*20) / 4

= 60/4

= 15

3/4*20 = 15

please i need this due now and DO NOT GIVE ME A LINK FOR THE ANSWER
Write two different polynomials with a difference of
−3x2 + 5x − 7.

Answers

Answer:

Y = -3(x - 5/6)^2 - 59/12 and  x = 5±i√59/6

Step-by-step explanation:

Pls give brainllest

what is the surface area, in centimeters, of a cube with a side length, s. of 1/3cm?

Answers

6/9 = 2/3 cm^2
good luck :))))

Steven bought a watch for $140 and added a 40% markup before reselling.

What was the amount of markup?

Answers

Answer:

$196

Step-by-step explanation:

The number of guests, g, coming for dinner
is not 8

Answers

Answer:

g < 8

rip 5 days ago

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