The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal? y = 1 / x + 2 y = x^2 + 2

Answers

Answer 1

Answer: The value of 'x' is -1.8 where the given equation approximately equal

Step-by-step explanation:

It is given that the value of 'x' lies in the range of -2 to -1.5 and we need to find out the value of 'x' where both the equations become equal

Given set of equations:

[tex]y=\frac{1}{(x+2)}[/tex]             .....(1)

[tex]y=x^2+2[/tex]             .....(2)

Plugging value of 'y' from equation 2 to equation 1:

[tex]x^2+2=\frac{1}{(x+2)}\\\\x^2+2(x+2)=1\\\\x^3+2x^2+2x+4=1\\\\x^3+2x^2+2x+3=0[/tex]

On solving, the real root comes out to be, x = -1.8

Hence, the value of 'x' is -1.8 where the given equation approximately equal


Related Questions

A rectangle has 8 tiles, 1/4 are blue, how many blue tiles are there

Answers

Answer: 2 easy

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Hope this helps and pls mark brainlist if it’s incorrect I will check it

what is the value of x? 0 = x/6 - 3

Answers

Answer:

18 = x

Step-by-step explanation:

0 = x/6 - 3

Add 3 to each side

0+3 = x/6-3+3

3 = x/6

Multiply by 6 on each side

3*6 = x/6*6

18 = x

For the arithmetic sequence beginning with the terms {-2, 0, 2, 4, 6, 8...}, what is the sum of the first 18 terms?

Answers

Answer:

The sum of the first 18 terms is 270.

Step-by-step explanation:

First the 18th term is calculated which is gotten using the following steps below:

an = a1 + d ( n - 1 )

Where, an =18th term

a1= first term (-2)

d = difference

n = 18

Therefore, 18th term

an= -2 + 2 (18 - 1)

= -2 + 2 (17)

= -2 + 34

18th term = 32

To calculate the sum of the first 18th terms the following steps are used,

Sn = n(a1 + an)/2

Where,

Sn = sum of 18th term

n = 18

a1 = -2

an = 18 term

Therefore,

Sn = 18 (- 2+ 32)/2

= 18 (30)/2

= 18 ×30 /2

= 540/2

= 270

i’m horrible at math, can anyone help?

Answers

Answer: no I'm actually horrible at math too sorry

Can I please get some help? I would really appreciate it.

Answers

It’ should be 2nd I’m sure

y = 3x - 1
3x - y = 9
X=
A) x = 123, y = 4 4
B) x=3, y = 0
C) No solution
D) Infinitely many solutions

Answers

Answer:

no solution.

Step-by-step explanation:

given that, y = 3x-1

so,

in equation, 3x-y = 9

putting the value of y here,

3x-(3x-1) = 9

3x-3x+1 = 9

3x and 3x is cancelled.

hence, no solution


How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?

Answers

Answer:

The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Step-by-step explanation:

The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]

Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

The temperature is below 2 degrees Fahrenheit.

t < 2


A number line going from 0 to 3. A closed circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the right of the circle is shaded.

Answers

Answer:

A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.

Step-by-step explanation:

First, remember that when an endpoint is not in the solution set, we graph an open circle. While if the endpoint is in the solution set, we graph it with a closed circle.

For example, in:

x > 2

x = 2 is not a solution, then we will have an open circle at x = 2

While in the case of:

x ≥ 2

x = 2 is a possible solution, then we graph with a closed circle.

Ok, in this case we have:

t < 2

t is strictly smaller than 2, and t = 2 is not a solution.

Then:

we will have an open circle at 2, and we need to shade all the values to the left of 2 (the values smaller than 2)

The correct option is:

A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.

Answer:

the middle one.

Step-by-step explanation:

Which one is it the first on or second or third or fourth

Answers

Answer:

what is shown is a trapezoid

Answer:

Isosceles Trapezoid

Step-by-step explanation:

So trapezoid or D.

Hope this helps!

Good Luck!

:)

Honestly, I know these answers I just wanna see if the answers I got are correct.

Answers

Answer:

4. 78,020,008 4. Seventy-eight million, twenty thousand, eight

5. 20,011,012 5. 20,000,000 + 11,000 + 12

6. 50,000 7. 900 8. 70,000,000 9. 30,000,000

please answer this just the answer

Answers

Answer:

It's bubbled in so it's C.

Step-by-step explanation:

Why did u ask something that was answered?

Thanks for your time.

(>.<) <3 Kris

Which equation represents a line which is perpendicular to the line 6x+y=-4

Answers

Answer:

y = 1/6x - 4

Step-by-step explanation:

y = -6x - 4  

current slope is -6 so the slope of a line perpendicular would be 1/6

y = 1/6x - 4

Find the total area

Answers

Answer:

I think it's 33 I don't know

The sales of a particular brand of children's athletic shoes rose from $4,500,000 to $5,400,000. Find the percent of increase in sales. Round to the nearest tenth of a percent, if necessary

1. 0.2%
2. 20%
3. 16.7%
4. 83.3%​

Answers

answer: 20%
explanation: divide the difference between the two amounts by the original amount.
900,000 / 4,500,500 = .2
next you multiply by 100 to make it into a percentage instead of a decimal.
.2 x 100 = 20
20%
It’s 20 percent hope it helps

Una maestra esta comprando lapices para su salon de clases. Si una docena de lapices cuesta $0.79 puede comprar lapices con $5?

Answers

Answer:

Cantidad total de lapices= 76

Step-by-step explanation:

Dada la siguiente información:

Costo por docena= $0.79

Presupuesto total= $5

Para calcular la cantidad total de lapiceras que se pueden comprar con $5, debemos usar la siguiente formula:

Cantidad total de lapices= presupuesto total / costo por docena

Cantidad total de lapices=  5 / 0.79

Cantidad total de lapices= 6.33

Para ser mas exactos:

0.33*12= 4

Cantidad total de lapices= 6*12 + 4

Cantidad total de lapices= 76

there are 13 apples in a basket 4 of these apples are green the rest of them are red​

Answers

Answer:

9 : 13

Step-by-step explanation:

Here is the complete question :

there are 13 apples in a basket 4 of these apples are green the rest of them are red​

What what is the ratio of red apples to all the apples in the basket

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

ratio of red apples to all the apples in the basket​ = Number of red apples : total number of apples

Number of red apples = total number of apples - number of green apples

13 - 4 = 9

9 : 13

I’ll pay another & give extra points!

Answers

Answer:

Step-by-step explanation:

A baseball team played 75 games and lost 20% of them. How many games did the team lose?

PLSSS HELP!! I need the answer m.

Answers

6578 i don’t know don’t ask me bit

a bookcase is 500mm wide how many of these bookcase will fill a
space 2m wide​

Answers

I think 4 but I could be wrong

Which is the degree measure of an angle whose tangent is 1.19? Round the answer to the nearest whole number. A. 48° B. –48° C. 50° D. –50°

Answers

9514 1404 393

Answer:

  C.  50°

Step-by-step explanation:

The angle whose tangent is 1.19 is ...

  arctan(1.19) ≈ 49.9585° ≈ 50°

The 50° measure of an angle whose tangent is 1.19.

What is tangent?

Tangent in geometry,  is defined as "a line or plane that touches a curve or curved surface exactly at one point" .

According to the question,

The degree measure of an angle whose tangent in 1.19.

In order to an angle only if arctan(119) = 49.9585 ≈ 50.

Hence, the 50° measure of an angle whose tangent is 1.19.

Learn more about Tangent here

https://brainly.com/question/20725027

#SPJ2

Angle B = ?
Need help.

Answers

Answer:

angle B = 33.42

Step-by-step explanation:

take angle B as reference angle

using tan rule

tan B = opposite/adjacent

tan B = 6/9

tan B = 0.66

B = [tex]tan^{-1} (0.66)[/tex]

B = 33.424

B = 33.42

can anyone simplify 5(x-6)

Answers

Answer:

5x - 30

Step-by-step explanation:

5(x-6)

Distribute the 5 to both terms inside the parentheses

5*x - 5*6

5x - 30

Answer:

5x-30

Step-by-step explanation:

use the distributive property

Solve for x in the equation

Answers

Answer:

its the first one

Step-by-step explanation:

2,-6 or -6,2 , so its a .

What is the reflection of point P (2, -7) over the x-axis

Answers

Answer:

(2,7) I think

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

It's funny, this is the exact topic I just learned.

Ok, 2,-7 would be in the fourth quadrant (IV).

So using this information if we want to reflect it over the x axis, the point would just got over the x axis in quadrant 1. We know that quadrant 1 is (++) so the ordered pair MUST be positive. Hence the answer of (2,7)

Hope this helps!

Need help ASAP, willing to give brainliest to the best answer!

Answers

1. 70, 2. None, 3. Mike

Answer:

Question number 1: 70

Question number2: 0

Question number 3: Mike team

Step-by-step explanation:

Question number 1: Just add all of the numbers together and you will get 70 as your answer.

Question number 2: Becuase everyone in the team has scored at least 1 point or greater.

Question number 3: Mike's team becuase he and his team has the most points out of all the other teams.

Hope this helps :D

A circle has a center at (-2, 5) and a radius of bold 3 square root of bold 2units. What is the equation of the circle in standard form?

Answers

Given:

The center of the circle = (-2,5)

The radius of the circle = [tex]3\sqrt{2}[/tex] units.

To find:

The equation of the circle is standard form.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]               ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].

The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].

Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get

[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]

[tex](x+2)^2+(y-5)^2=18[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].

WILL GIVE BRANLIEST!!! pls help tysm!!!

Answers

Try this I could have misunderstood the question but this it’s what I got don’t mind the hand writing

could u help me last part :)

Answers

Answer: 288pi in cubed

Step-by-step explanation: because area of a circle is pir^2 so 36*8=288

Answer: 288pi in^3
Explanation:
Volume Formula= piR^2h (R= Radius and H= Height)
So pi*6^2*8 gets you 288pi ^3
Keep the formula in mind to help you with further problems.

Hope this helps you. If available please give me a branliest. It would be much appreciated!

- Mathhotdog •~•

Slope of (16, 8) (8, 4)

Answers

Answer:

slope of (16,8) (8,4) is 1/2

Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days. If they both went to the park today and met each other, after how many days again will they be in the park and meet again?

Answers

Answer:

70 days

Step-by-step explanation:

We solve using Lowest Common Denominator method

Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.

Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.

Hence:

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90

Therefore,

LCM(7, 10) = 70

Therefore, the number of days in which they will they be in the park and meet again is 70 days

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