Arrange the expressions in ascending order of their values when x = -2.
1-x^2/1-2x
x^2-1/1-2x
2x^2+x/2
3x^2+1/2(x-1)

Answers

Answer 1

Step-by-step explanation:

Option (1)

[tex]\dfrac{1-x^2}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{1-(-2)^2}{1-2(-2)}\\\\=\dfrac{1-4}{1+4}\\\\=-0.6[/tex]

Option (2)

[tex]\dfrac{x^2-1}{1-2x}[/tex]

Put x = -2, let the value is y such that,

[tex]y=\dfrac{(-2)^2-1}{1-2(-2)}\\\\=\dfrac{4-1}{1+4}\\\\=0.6[/tex]

Option 3)

[tex]2x^2+\dfrac{x}{2}[/tex]

Put x=-2 such that,

[tex]y=2(-2)^2+\dfrac{(-2)}{2}\\\\=7[/tex]

Option (4)

[tex]3x^2+\dfrac{1}{2(x-1)}[/tex]

Put x =-2 such that,

[tex]y=3(-2)^2+\dfrac{1}{2((-2)-1)}\\\\=11.83[/tex]

Ascending values : -0.6,0.6,7,11.83

or

[tex]\dfrac{1-x^2}{1-2x}[/tex]   <  [tex]\dfrac{x^2-1}{1-2x}[/tex]   <   [tex]2x^2+\dfrac{x}{2}[/tex]   <   [tex]3x^2+\dfrac{1}{2(x-1)}[/tex]


Related Questions

f (x) = 20 - (1.27)
growth or decay ?

Answers

Answer:

Decay...? Read below

Step-by-step explanation:

Assuming you meant to put 20 - (1.27)x, it is decay. As the x increases, the y decreases, making it decay.

Complete the equation. Answer as a fraction in its simplest form. 9xy x (2/3x)^3=(__/__)x^4y

Answers

Answer:

Fill the blank with [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Required

Fill in the gaps

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Open Brackets

[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]

[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]

Multiply xy and x^3

[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]

[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]

Divide fraction by 9/9

[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]

By comparison, the blank will be filled with:

[tex]\frac{8}{3}[/tex]

Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]

which of the following functions is graphed below​

Answers

Answer:

A.

Step-by-step explanation:

When X is zero y is 7.

It looks like the y intercept is 7 hard to tell in the picture

Answer:

im going to guess C

Step-by-step explanation:

The sum of infinity of the series 2/3 – 4/3² + 2/3³ + 4/3⁴ is​

Answers

Answer:

[tex] \frac{3}{4} - \frac{2}{4} = \frac{1}{4} [/tex]

Answer:

7/20

Step-by-step explanation:

It seems there are two patterns in the series:

2/3, 2/3³, ... with a₁ = 2/3 and r = 1/9- 4/3², 4/3⁴, ... with a₁ = -4/9 and r = -1/9

Using sum of infinity of the geometric series formula:

S∞ = a₁/(1 - r)

Applying this to both patterns:

S₁ = 2/3÷(1 - 1/9) = 2/3 ÷ 8/9 = 2/3×9/8 = 3/4S₂ = -4/9÷(1 - (-1/9)) = -4/9÷10/9 = -4/9×9/10 = - 2/5

Sum of the two results:

3/4 + (-2/5) = 5/5*3/4 - 4/4*2/5 =15/20 - 8/20 = 7/20

Jose gets his hair cut for $12. He gives his barber a
15% tip. How much does he give the barber for a tip?
(If you have big brain plz help me)

Answers

Answer: $3

Step-by-step explanation:

If you want to tip 15%, then the total tip amount would be $2.40 plus half of that again ($1.20), which is $3.60.

Jose gives the barber a $1.80 tip.

What is a percentage?

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given information:

Jose gets his hair cut for $12.

He gives his barber a 15% tip.

To calculate the tip, we need to find 15% of the cost of the haircut.

15% can be written as a decimal as 0.15.

So, the tip amount is:

0.15 x $12 = $1.80

Therefore, Jose gives the barber a $1.80 tip.

To learn more about the percentage;

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A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning.

Answers

Answer:

17.5

Step-by-step explanation:

The first step is to convert one bookshelf into feet, so 42 divided by 12=\

3.5

Now, we have 5 of these shelves, so we have to do 3.5 x 5=17.5.

Please answer this simple math question(CLICK TO SEE PICTURE) ITS MULTIPLE CHOICE. Answers are not exact! (it's not the one I chose) TY!

Answers

The one worth $10 because it’s the most reasonable estimate,

What is the value of tan c

Answers

Answer:

In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.

Find n and r 10 pointssss

Answers

N is 10.6
And
R is 5.2

Help me ASAP pls. it means the world to me

Answers

I don’t see a picture
Can u take a better picture i cant see the full question

1. Simplify the expression.

9m - 5n + m - 2n
2.Simplify the expression.

3 - 1 v + 7v - 1

Answers

Answer:

1. 10m - 7n

2. 6v - 1

Step-by-step explanation:

9m - 5n + m - 2n

10m - 7n ( combine like terms).

2.  - 1 v + 7v - 1

6v - 1 (combine like terms)

Answer:

1. 9m-7m

2. 6v+2

Step-by-step

Im pretty sure that the answer

Use the distributive property to expand 0.05(50 + 40).

Answers

Answer:

4.5

Step-by-step explanation:

Solve for x and verify:3(x+3)-2(x-1)=5(x-5)

Answers

Answer:

x=9

Step-by-step explanation:

Distribute:

3x+9-2x+2=5x-25

Combine like terms:

x+11=5x-25

Solve:

x-x+11=5x-x-25

11=4x-25

11+25=4x-25+25

36=4x

Divide by 9:

x=9.

Hope this helps :D

Answer:

x = 9

Step-by-step explanation:

Step 1: Solve both sides by distributing the values.

3x+9-2x+2 = 5x-25

Step 2: Put the like terms together.

3x-2x-5x = -25-9-2

-4x = -36

Step 3: Divide both sides by -4 to get the value of x.

[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-36}{-4}[/tex]

x = 9

Let's verify the answer.

3x+9-2x+2 = 5x-25

3(9)+9-2(9)+2 = 5(9)-25

27+9-18+2=45-25

20 = 20

For which of these ARMs will the interest rate stay fixed for 8 years and then
be adjusted every year after that?
A. 8/8 ARM
B. 8/1 ARM
C. 1/8 ARM
ОО
D. 1/1 ARM
SUBMIT

Answers

Answer:Its B

Step-by-step explanation:

Bc I just got it right

ARM for which interest will stay fixed for 8 years and then be adjusted every year after that = 8/1 ARM

The correct option is (B).

What Is an Adjustable-Rate Mortgage (ARM)?

The term adjustable-rate mortgage (ARM) refers to a home loan with a variable interest rate. With an ARM, the initial interest rate is fixed for a period of time. After that, the interest rate applied on the outstanding balance resets periodically, at yearly or even monthly intervals.

Given statement

ARM for which Interest rate stay fixed for 8 years and then be adjusted every year after that.

Above information is typically expressed in two numbers. The first number indicates the length of time that the fixed rate is applied to the loan, while the second refers to the duration or adjustment frequency of the variable rate.

By the above method ARM for Interest rate stay fixed for 8 years and then adjusted every year after that can be expressed as 8/1 ARM.

Hence, for 8/1 ARM, interest rate will stay fixed for 8 years and then

be adjusted every year after that.

Learn more about ARM here:

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.............llllllllllllllllwwwwwwww

Answers

Answer:

wwwwwwwwwwwwwwwwwww

Find the distance between (6,4) and (-6,-5) by using the distance formula

Answers

Answer:

[tex]\boxed {d = 15}[/tex]

Step-by-step explanation:

Use the Distance Formula to help determine the distance between two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute both given points:

[tex](x_{1}, y_{1}) = (6, 4)[/tex]

[tex](x_{2}, y_{2}) = (-6, -5)[/tex]

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]

[tex]d = \sqrt{144 + 81}[/tex]

[tex]d = \sqrt{225}[/tex]

[tex]\boxed {d = 15}[/tex]

Therefore, the distance is [tex]15[/tex].

need help on number 12 and 13 please!

Answers

Answer:3/4

4/3

Step-by-step explanation:

it i this

subtract 2x³-4x²+3x+5 from 4x²+x²+x+6​

Answers

Answer:

(-2x^3)+(9x^2)

Step-by-step explanation:

Answer is above. Hope it helps!

PLEASE ANSWER FAST ITS UNIT TEST
The graph of the equation y = ax2, where a is >0, is shown below


If a is multiplied by -3, the graph of the new equation is

A.
wider and opens downward

B.
wider and opens upward

C.
narrower and opens downward

D.
narrower and opens upward

Answers

Answer:

a or c

Step-by-step explanation:

At a noodles and company restaurant, the probability that a customer will order a non alcoholic beverage is .53. Find the probability that in a sample of 12 customers at least 9 will order an non alcoholic beverage

Answers

There are .53 and 9 sugar so the 12 customer can eat sugar without tea 787+u

Which equation can be used to find 55 percent of 900?
StartFraction 55 times 1 Over 900 times 1 EndFraction = StartFraction 55 Over 900 EndFraction
StartFraction 100 times 16.36 Over 55 times 16.36 EndFraction = StartFraction 1636 Over 899.8 EndFraction
StartFraction 900 times 9 Over 100 times 9 EndFraction = StartFraction 8100 Over 900 EndFraction
StartFraction 55 times 9 Over 100 times 9 EndFraction = StartFraction 495 Over 900 EndFraction

Answers

Answer:

the answer is A

Step-by-step explanation:

igot a 100

Answer:

D

Step-by-step explanation:

GIVING BRAINLIEST!!!!!!!!!!!!!!!!!

Answers

Answer:

C. 36 degrees

Step-by-step explanation:

Exterior angles sum = 360 degrees

72+144=216

360-216=144

Supplementary angles(Angles on opposite sides of the transversal) sum = 180

180-144= 36

Therefore, x=36 degrees

A parallelogram has a base of 9 units and a corresponding height of į units. What is its area?

Do not include units (square units) in your answer.

Answers

Answer:

[tex]Area = 9j[/tex]

Step-by-step explanation:

Given

[tex]Base = 9\ units[/tex]

[tex]Height = j\ units[/tex]

Required

Determine the area

Area of parallelogram is calculated as thus:

[tex]Area = base * Height[/tex]

Substitute values for Base and Height

[tex]Area = 9 * j[/tex]

[tex]Area = 9j[/tex]

Hence, the area of the parallelogram whose base is 9 units and height is j units, is 9j

will make brainliest answer!!

If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)

A. x-3
B. x-1
C. 5x-1
D. 5x-3

Answers

Answer:

C. 5x - 1

Step-by-step explanation:

Givenf(x) = 3x-2 and g(x) = 2x+1To find (f+g)(x)Solution(f+g)(x) =f(x) + g(x) =3x - 2 + 2x + 1 =5x - 1

A swimming pool has two pipes coming into it to fill it with water. One pipe takes 16 hours to fill it. The other takes 12 hours to fill it. How many hours will it take both pipes to fill the pool?

Answers

Answer:

8 hours

Step-by-step explanation:

8 hours because half of 16 is 8 and half of 12 is 6

If it takes 6 hours to fill one half then the other 2 hours would go to the other pipe making it 8 hours

2. Mr Alison fill ups his car at the gas station. He also gets a car wash at the station and visits with the manager, Then he drives to the next town on buisness

Which graph did you not choose for exercise 1 and 2?

Answers

Answer:

Hmm graph 3, i think.

Step-by-step explanation:

An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 3.5 times 100 3.5 divided by 100 3.5 divided by 10 3.5 times 10

Answers

Answer:

3.5 divided by 100

Step-by-step explanation:

So we know that one millimeter is equal to 0.01

To solve the equation you would multiply 3.5 x .01 = .035

Another way would be if you divide 3.5/100 = .035

Hope that helps and have a great day!

Answer:

b

Step-by-step explanation:

2 7/8 * 3

Really need help!!

Answers

Answer:

search for a mixed number calculator on google

Step-by-step explanation:

A newspaper ran a story concerning the increasing prices of mobile phones. The story stated that mobile phone prices dropped a few years ago, but now are beginning to increase in price because of added features.
• According to the story, the average price of all mobile phones a few years ago was £215.
• A large random sample of mobile phones (n = 200) was taken, and their prices recorded.
• We wish to use a hypothesis test to determine if the average price of all mobile phones is now greater than £215.
Required: Define the hypotheses, and with reference to the applicable random variable distribution, find the rejection region appropriate for this test if we are using the significance level α = 0.05.

Answers

Answer:

H0 : μ = 215

H1 : μ > 215

Rejection region :

Zstatistic > Z0.05

Step-by-step explanation:

Given that:

Average price of all mobile phones was £215

Sample size = 200

Significance level (α) = 0.05

To determine if the average price of all mobile phones is now greater than £215

The Null hypothesis (H0) :

H0 : μ = 215

Alternative hypothesis (H1) :

H1 : μ > 215

The rejection region :

|Zstatistic > Zα|

α = 0.05 ; Z0.05

Rejection region :

Zstatistic > Z0.05

An adult elephant that is 10 ft tall casts a shadow that is 15 ft long. Find the length of the shadow that is a 8 ft telephone booth casts.
A. 7ft
B. 12 ft
C. 23 ft
D. 5 ft

Answers

Answer:

12 feet long bc of cross multiplying then dividing the product by 10 which gives you 12!

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