X+(x^2+2)+y=4


Find 2 coordinates
(X,y) (x,y)

Answers

Answer 1

Answer: (-2,0) and (1,0)

Step-by-step explanation:

If y=0, then:

[tex]x+x^2 + 2=4\\\\x^2 + x-2=0\\\\(x+2)(x-1)=0\\\\x=-2, 1[/tex]

So, the points (-2,0) and (1,0) lie on the curve.

Answer 2

The points (-2,0) and (1,0) lie on the curve.

If y=0, then:

[tex]x+(x^2+2)+0=4\\x^2+x+2=4\\[/tex]

What is the coordinate of the axis?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

[tex]x^2+x-2=0[/tex]

[tex]=\left(x^2-x\right)+\left(2x-2\right)[/tex]

[tex]=x\left(x-1\right)+2\left(x-1\right)[/tex]

[tex]=\left(x-1\right)\left(x+2\right)[/tex]

[tex]x=-2,x=1[/tex]

So, the points (-2,0) and (1,0) lie on the curve.

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Related Questions

Can u answer fast please

Answers

C. e

Step-by-step explanation:

[tex] ln( {e}^{e} ) = e ln(e ) = e(1) = e[/tex]

manual spent 4.56 on a sandwich and 2.98 on a drink How much did he spend in all? If he paid with a 10$ bill how much change did he get

Answers

Manual paid with a $10 bill and he got $2.46 as a change.

What is subtraction?

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −.

Money spent on sandwich=$4.56 and money spent on drink=$2.98.

We need to find out how much did he spend in all.

That is, the total money spent=4.56+2.98=$7.54

He paid with a $10 bill, he gets change as 10-7.54=$2.46

Hence, he paid with a $10 bill and he got $2.46 as a change.

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HELP PLEASE!!!!!! AND TYYY

Answers

Answer:

17cm Squared

Step-by-step explanation:

Get the area of the whole triangle, then the area of the white part. Then subtract the white from the whole area

What is the simplified form of StartRoot 100 x Superscript 36 Baseline EndRoot ?

10x Superscript 18
10x Superscript 6
50x Superscript 18
50

Answers

The simplified form of the expression √(100x³⁶) will be 10x¹⁸. Then the correct option is A.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ √(100x³⁶)

Then the simplified form of the expression will be

⇒ √[(10x¹⁸)²]

⇒ 10x¹⁸

Then the correct option is A.

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Answer:

Step-by-step explanation:

Expert-Verified Answer

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AFOKE88

Ace

13K answers

73.3M people helped

The simplified form of √(400x¹⁰⁰) is;

D; 20x⁵⁰

We want to find the simplified form of √(400x¹⁰⁰)

Now, according to laws of indices;

√ab = √a × √b

Thus;

√(400x¹⁰⁰) = √400 × √(x¹⁰⁰)

⇒ 20√(x¹⁰⁰)

Also according to law of indices;

a⁴ = a²  × a²

Thus;

x¹⁰⁰ = x⁵⁰ × x⁵⁰

Thus;

√(x¹⁰⁰) = √(x⁵⁰ × x⁵⁰)

⇒ x⁵⁰

Our final answer is;

20x⁵⁰

Is 3^20 times 2^14 a factor of 3^22 Times 2^12

Answers

Answer:

  no

Step-by-step explanation:

In order for one number (A) to be a factor of another (B), the exponents of the primes in the prime factorization of A cannot exceed those of the prime factorization of B.

__

  A = 2^14 × 3^20

  B = 2^12 × 3^22

The exponent of the factor 2 in A is 14, which exceeds the exponent of the factor 2 in B (12). Therefore, A cannot be a factor of B.

  (3^20)(2^14) is not a factor of (3^22)(2^12)

5
14
6
3
1
2
Two friends, Andrew and Liz, are playing a game using this spinner. If the
spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If
it lands on any other region, neither wins. Is this a fair game?
A. Yes. Each friend has a
probability of winning.
B. Yes. Each friend has a
probability of winning.
C. No. Andrew has a probability of winning and Liz has a
probability of winning.
D. No. Andrew has a probability of winning and Liz has a
probability of winning.

Answers

The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

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Look at the photo and answer it pls

Answers

Answer:

There isn't a photo

Step-by-step explanation:

There is no photo

Each statement describes a transformation of the graph of y = log2x. Which statement correctly describes the graph of y = log2(x + 3) - 9?

Answers

The transformation of a function may involve any change in the initial function. The correct option is C.

The complete question is:

Each statement describes a transformation of the graph of y = log2x.

Which statement correctly describes the graph of y = log2(x + 3) - 9?

It is the graph of y = log2x translated 3 units down and 9 units to the left.It is the graph of y = log2x translated 9 units down and 3 units to the right.It is the graph of y = log2x translated 9 units down and 3 units to the left.It is the graph of y = log2x translated 3 units up and 9 units to the left.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

Given the initial function y = log2x, now if the function is needed to be transformed to y = log2(x + 3) - 9, then the function is needed to be shifted left by 3 units and down by 9 units.

Hence, the correct option is C.

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A snack bar offers chili and/or cheese on its hot dogs for an additional fee.
The owner kept track of the hot dog orders over the course of a week. His
data are shown in a relative frequency table.

Answers

A relative frequency table is a chart that depicts the popularity or pattern of a specific piece of data based on the population sampled. The correct option is D.

What is a relative frequency table?

A relative frequency table is a chart that depicts the popularity or pattern of a specific piece of data based on the population sampled. When we look at relative frequency, we are comparing the number of times a given event occurs to the overall number of events.

The complete question is mentioned in the below image with the relative frequency table.

As per the relative frequency table, the value 0.2 highlighted in the table represents that 20% of his customers ordered cheese but no chili on their hot dogs.

Hence, the correct option is D.

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SUPER URGENT AND EASY FOR MOST- 30 PTS

factorise

10x + 300

Answers

Answer:

10(x + 30)

Step-by-step explanation:

10x + 300

Both terms have 10 in common, so you can factor out 10.

10x + 300 = 10(x + 30)

Large eggs weigh 1/1/2 pounds per dozen. Dawn bought eight large eggs. How much did the eggs weigh

Answers

Answer:  1 pound

Step-by-step explanation:

Because 12 eggs= 1.5 pounds. So, you divide 1.5/12 = 0.125. And the 0.125 times 8 = 1 pound

Answer:

1 lb

Step-by-step explanation:

Since 1 dozen(12) eggs weigh 1 1/2 or 3/2 lbs, each egg weights 3/2 ÷ 12 = 3/24 lb
So 8 eggs would weight 8 x 3/24 = 1 lb

Solve by applying the counting principle. James is choosing a Four-digit Passcode for his smartphone. How many different Passcodes are possible? There are Ten digits that James can choose from. Enter Solve by applying the counting principle . James is choosing a Four - digit Passcode for his smartphone . How many different Passcodes are possible ? There are Ten digits that James can choose from.​

Answers

Answer:

10k.

Step-by-step explanation:

1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

1 (c)
Gavin goes to Joti's shop.
He is making a circular blanket.
The finished blanket will have a radius of 0.325 m
It will have ribbon all around the edge.
He thinks he will need 2.5 m of ribbon.
Gavin knows that is about 3.1416
Round to 1 decimal place and use this value to work out how much ribbon
Gavin will have left if he buys 2.5 m
[4 marks]

Answers

Answer: 0.5m

Hope this helps!

If a 103 pound man can have 1292 mg of a medicine in a day, how much can a 102 pound woman have? (round answer to one decimal place) She can have mg

Answers

Answer:

1279.5mg

Step-by-step explanation:

103 pound man takes -1292mg of medicines

102 pound woman will take -xmg of medicine

cross multiply

102x1292=103x

131784=103x

x=131784/103

x=1279.5mg

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Women will have 1279.5mg of medicine in a day.

How much can a 102-pound woman have?

103-pound man takes -1292mg of medicines.

102-pound woman will take x mg of the medicine.

By cross multiply

102x1292=103x

131784=103x

x=131784/103

x=1279.5mg

What is an example of a word problem?

Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?

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Need number 11 please!!!

Answers

The coordinates of the inverse function f⁻¹(x) will be swapped of the coordinates of the function f(x).

The complete question is attached below.

What is inverse of a function?

Let the function will be  

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

If the coordinates of the function f(x) are given.

Then the coordinates of the inverse function f⁻¹(x) will be swapped of the coordinates of the function f(x).

         f(x)                          f⁻¹(x)

     (33, 40)                   (40, 33)

     (-19, -15)                  (-15, -19)

    (-28, 47)                   (47, -28)

    (-15, -34)                  (-34, -15)

      (50, 0)                     (0, 50)

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simplify 1 1 3 - 4 1 3 =

Answers

Answer:

-300

Step-by-step explanation:

113-413=-300

7. What is the ratio of the interior angles of a pentagon and a decagon?​

Answers

Answer:

A pentagon has 5 sides.

Sum of the interior angles = ( n - 2) x 180

Sum of the interior angles = ( 5 - 2) x 180

Sum of the interior angles = 540°

STEP 2: Find one interior angle:

one interior angle = 540 ÷ 5 = 108°

STEP 3: Find the sum of interior angles of a decagon

A decagon has 10 sides

Sum of the interior angles = ( n - 2) x 180

Sum of the interior angles = ( 10 - 2) x 180

Sum of the interior angles = 1440°

STEP 4: Find one interior angle:

one interior angle = 1440 ÷ 10 = 144°

STEP 5: Find the ratio:

Pentagon : Decagon = 108 : 144

Simplify:

Pentagon : Decagon = 3 : 4

Answer: The ratio is 3 : 4

the sum of the interior angles of the pentagon is 3 * 180. the sum of the interior angles of the decagon is 8 * 180. the ratio of the sum of the interior angles of a pentagon to the sum of the interior angles of a decagon is (3 * 180) / (8 * 180). this results in 3/8.


There is a 50% chance of rain here and a 25% chance of rain on Mars. Therefore, there is a 75%
chance that it will rain here or on Mars. Explain why this is a false statement.

Answers

There is a 75% chance that it will rain here or on Mars is false because there is a 25% chance that it will rain here and not on Mars.  

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

There is a 50% chance of rain here and a 25% chance of rain on Mars. Therefore, there is a 75% chance that it will rain here or on Mars.

The probability that it will rain here:

P(rain here) = 50%

P(rain on mars) 50%

P(not rain here) = 100 - 50 = 50%

P(not rain on mars) = 100 - 50 = 50%

P(rain here and not on mars) = 0.5×0.5 = 0.25 or 25%

Thus, there is a 75% chance that it will rain here or on Mars is false because there is a 25% chance that it will rain here and not on Mars.  

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pls help i forgot how to do this :)

Answers

Answer:

in picture

Step-by-step explanation:

added in the picture

12. A bag contains 12 red, 9 green and 5 black markers. If Cooper randomly selects 7 markers, how many
ways could this be done if EXACTLY 6 are to be the same color?

Answers

Answer:

Step-by-step explanation:

7 marks

6 same colors

from 12 red 6 same exactly the same

12 x 11 x 10 x 9 x7 x6

1 remainig

from 9 green 6 saem exactly the same

9 x 8 x 7 x 6 x5 x4

1 remaining

add the results above to get your final answer

26 markers in total

6 to be chosen of the same color from 7

A table is in the shape of a regular
hexagon. The perimeter of the table is 12
feet. What is the length of each side of
the table?

A 1 ft
B 2 ft
C 3 ft
D 4 ft

Answers

Answer:

B

Step-by-step explanation:

A hexagon has 6 sides. If you divide the perimeter(12) by the number of sides(6), you get the length of one side(2).

What is f(0)?
O 0 only
O -6 only
O -2, -1, 1, and 3 only
O -6, -2, -1, 1, and 3 only​

Answers

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For the given graph, the value of f(0) means the value of function when the value of x is 0. Thus, when the graph intersect with the x-axis is the value of f(0), therefore,the values of f(0) are -2, -1, 1, and 3 only.

Hence, the correct option is C.

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What 2 numbers add up to 37 and multiply to 210?

Answers

Answer: 30 and 7

Step-by-step explanation: 30 plus 7 is 37, 30 times 7 is 210

These tables of values represent continuous functions. For which function
will the y-values be the greatest for very large values of x?
y
1 7
2 21
3 63
4 189
5 567
B. x
y
17
2 207
3 407
4 607
5 807
C.xy
1 325
2 400
3 475
4 550
5625
Y
1 565
2 570
3 575
4 580
5585
What is the answer??

Answers

Answer: the answer is a

Step-by-step explanation:

The graph of the function f(x) = -(x+3)(x-1) is
shown below.
-6
-4 -2
6
A
2
-2
4
-6
2
4
6 X
What is true about the domain and range of the
function?
O The domain is all real numbers less than or equali
to 4, and the range is all real numbers such that -31
≤x≤ 1.
The domain is all real numbers such that-3≤x≤
1, and the range is all real numbers less than or
equal to 4.
The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
The domain is all real numbers less than or equal
to 4, and the range is all real numbers.

Answers

Using the concepts of domain and range of a function, the correct statement regarding the graph of the function f(x) = -(x + 3)(x - 1) is given by:

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In a graph:

The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.

The graph of f(x) = -(x + 3)(x - 1) is given at the end of the answer, hence:

The domain is all real values, as the function keeps going to infinity.The range is all values of y that are less than or equal to 4.

Hence the correct statement is:

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

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What is the partial fraction decomposition of StartFraction 7 x squared + 14 Over (x squared + 3) squared EndFraction?

Answers

The final decomposition of the given partial fraction is; 7 + (-7/(x² + 3))

How to decompose partial fractions?

We are given the polynomial fraction (7x² + 14)/(x² + 3) to decompose.

Now, due to the fact that the degree of the numerator is not less than the degree of the denominator, we will perform polynomial long division to get;

(7x² + 14)/(x² + 3) = 7 + (-7/(x² + 3))

Now, the second term (-7/(x² + 3)) cannot be decomposed further and as such, we say that our final decomposition of the given partial fraction is;

7 + (-7/(x² + 3))

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which system of the equation is represents by the graph?


Answers

Sorry just needed points to use this app

In AABC, a = 13, b = 14, and c = 18. Find m/A.
B
A
39.5
с
b
a

Answers

Answer:

Step-by-step explanation:

Using the Law of Cosines,

[tex]a^{2}=b^2 + c^2 - 2bc \cos A\\\\13^{2}=14^{2}+18^{2}-2(14)(18) \cos A\\\\-351=-504 \cos A\\\\\cos A=\frac{351}{504}\\\\A=\boxed{\cos^{-1} \left(\frac{351}{504} \right)}[/tex]

Graph the equation by plotting three points. If all three are correct, the line will appear. -3y=2x-7 ....... 20 POINTS

Answers

First lets simplify to slope intercept (y=mx+b)

y=[tex](2x-7)/-3[/tex]

y=-2/3x+7/3

Point 1: (0,7/3) as when x is 0, y=7/3.
Point 2: lets plug x in as 3 to cross cancel.

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

So (3,-2).

Lets do point 3: plug in -3.

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

So (-3,2).

Your three points are (0,2.33 repeat) or (0,7/3), (3,-2) and (-3,2)

Hopefully this helps you out, heart if it was helpful and please do not hesitate to ask any questions. I have also attached an image of the line


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No Question, this account was set up in error.

Answers

Answer:

is the question no questions question ❓

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I......... agreat book last week. (read)29. Why.............. You .........for me at the bar yesterday evening? (not wait) 30. Tina and Jelly.......to the hotel when it............................. To rain. (walk/start)31. Sam ........The documents over to you tomorrow. (bring) 32. .......You........ attention when the teacher. .............your name? (pay/call)33. Tammy and Jenn...,......A Pilates class on Wednesday mornings. (take)34. The computers......finally........Like they're supposed to. (work)35. I........................... (make) a cake for my mum yesterday.36. This term, we.........(learn) about 18th century Europe in History.37. My cousin........(take) to hospital by an ambulance yesterday.38.......................(he/usually/have) lunch at half past twelve?39. I........(not/watch) the match on TV last night.40....................(you/ever/drive) a train? Are Enn and Vic static or dynamic characters? How have they changed by the storys end? Find the area for a triangle that has a base of 24 inches and a height of 4 inches. 96 in 2 48 in 2 cannot be determined 28 in 2 [tex]2^{x^2-5x}=\frac{1}{64}[/tex] In 126 words or more, discuss how the automobile shaped american society during the roaring twenties. Which ancient culture was responsible for developing several different strains of corn that can be used for multiple purposes from feeding cows to making tortillas? Mayas, Caribs, Incas, or Cherokee Drag each tile to the correct location.Match each description to its written source.1. describes how Muslims should interact with one another2. the holy book of Islam3. contains all the messages God communicated to MuhammadQur'an or SunnahPlease help How much is the difference in possible median income on a weekly basis between 4 years of high school with no diploma and high school graduate with no college for a female? A. $823 B. $364 C. $11,419 D. $95 What is periodicity? How do advertisements you see on television or the Internet influence you to want to buy a certain product? How do you decide whether to buy the product? (6 points) What is the change in freezingpoint, ATf, when the 0.195 maqueous solution of K2S dissolvesinto 3 particles? In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form. What is an example of an activity that primarily uses oxidative systems?