What is the largest value of x for which the following equation has a real solution (x,y)?

What Is The Largest Value Of X For Which The Following Equation Has A Real Solution (x,y)?

Answers

Answer 1

Answer:

x = 9/2

Step-by-step explanation:

x^2+7x+y^2+4y=191/4

Complete the square: (x+7/2)^2-(49/4)+(y+2)^2-4 = 191/4

Simplify: (x+7/2)^2+(y+2)^2=191/4+49/4+4

(x+7/2)^2 + (y+2)^2 = 64

(x+7/2)^2 + (y+2)^2 = (8)^2

Center of circle -> (-7/2, -2)

Radius -> 8

-7/2 + 8 = 9/2

x = 9/2


Related Questions

Factor the polynomial expression 3x4 + 24x.

Answers

Answer:

3x ( x+2)(x^2−2x+4)

Step-by-step explanation:

3x^4 + 24x.

Factor out the greatest common factor

3x*x^3 + 3x*8

3x(x^3+8)

Then factor the cubic term

The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)

3x ( x+2)(x^2−2x+4)

Find the perimeter of the following quadrilateral.

Write your answer as a mixed number in simplest form. Be sure to include the correct unit in your answer.

Answers

Answer:

7 3/4ft

Next time when a question ask you to find the perimeter just add all the length of each sizes

Line K is parallel to line I.
k
m
n
Which angle is congruent to 24?
21
0 22
025

Answers

Answer:

<4 = <1

Step-by-step explanation:

Judging from the picture, <1 and <4 are opposite angles. Opposite angles are always congruent. Hope this helps!

Design specifications require that a key dimension on a product measure 100 /- 10 units. A process being considered for producing this product has a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability

Answers

Answer:

0.8333

Step-by-step explanation:

Given :

Mean, X = 100

Lower Specification Limit, LSL = 100 - 10 = 90

Upper Specification Limit, USL = 100 + 10 = 110

Standard Deviation, σ = 4

The process capability index, Cpk;

Cpk = Min[(X - LSL) / 3σ; (USL - X) /3σ]

Cpk = Min[(100 - 90) / 12 ; (110 - 100 ) /12]

Cpk = Min [0.8333 ; 0.8333]

Hence, Cpk = 0.8333

155 ° 35 ° x °
x = ? °

Answers

x=35

vertical opposite angles are equal.

A cricket bat is bought for $330. Later, it is sold with a loss of 15%.
How much is the oricket bat sold for?
After selling the cricket bat, how much money has been last?
Give your answer to two decimal places because it is a currency.

Answers

Answers:

Discount price = 280.50 dollarsAmount lost =  49.50 dollars

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

Explanation:

If it's sold at a loss of 15%, then the store owner loses 0.15*330 = 49.50 dollars

So it was sold for 330- 49.50 =  280.50 dollars

----------------------------

An alternative method:

If the store owner loses 15%, then they keep the remaining 85% since 15%+85% = 100%.

85% of 330 = 280.50 dollars is the discount price

This means 330-280.50 = 49.50 dollars is the amount lost.

The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?

Answers

Given:

The inequality is:

[tex]|2x-1|>3[/tex]

To find:

The solution set for the given inequality.

Solution:

We know that, if [tex]|x|>a[/tex], then [tex]x<-a[/tex] and [tex]x>a[/tex].

We have,

[tex]|2x-1|>3[/tex]

It can be written as:

[tex]2x-1<-3[/tex] or [tex]2x-1>3[/tex]

Case I:

[tex]2x-1<-3[/tex]

[tex]2x<-3+1[/tex]

[tex]2x<-2[/tex]

[tex]x<\dfrac{-2}{2}[/tex]

[tex]x<-1[/tex]

Case II:

[tex]2x-1>3[/tex]

[tex]2x>3+1[/tex]

[tex]2x>4[/tex]

[tex]x>\dfrac{4}{2}[/tex]

[tex]x>2[/tex]

The required solution for the given inequality is [tex]x<-1[/tex] or [tex]x>2[/tex]. The solution set in the interval notation is [tex](-\infty,-1)\cup (2,\infty)[/tex].

Therefore, the required solution set is [tex](-\infty,-1)\cup (2,\infty)[/tex].

hello,can you answer this question asap thxs

Answers

9514 1404 393

Answer:

  111 1/9 pounds

Step-by-step explanation:

The given relationship is ...

  delivered = ground × (1 -10%)

Then ...

  ground = delivered/0.90 = 100 lb/0.90 = 111 1/9 lb

It is necessary to grind 111 1/9 pounds of grain to have exactly 100 lb after a 10% payment.

Please help please !!!!

Answers

Answer:

[tex]14<15[/tex]

[tex]0<2x+10<62[/tex]

[tex]-10<2x<52[/tex]

[tex]-5<x<26[/tex]

~OAmalOHopeO

Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12

Answers

Answer:

6,78

Step-by-step explanat

ion:data size :10

Sample mean:15

Standard sample deviation :6,782

Answer:

6,78

Step-by-step explanation:

Figure
А A
Figure B
How many squar
w many square are in
tigne
this​

Answers

Answer:

7 square are 0resent on aaaaaa

HELP ME OUT !!! im stressing out keep getting it wrong

instructions find HM = 25 and mhm = 66 , find x and y

Answers

Answer:

x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))

Step-by-step explanation:

notice that x = MK = HM = 24.

Let the center of the circle be C.

Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).

Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)

Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))

hopefully this helped

Solve 2x2 – 3x = 12 using the quadratic formula.

Answers

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: [tex]\frac{3 + \sqrt{105} }{4}[/tex], [tex]\frac{3 - \sqrt{105} }{4}[/tex]

Hope this helps!

The length of a rectangle garden plot is 3 metres greater than its
width.The area of the plot is 154 square metres.What is the width of the garden?​

Answers

Answer: width = 11 m

Concept:

Here, we need to understand how to find the area of a rectangle.

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

A = w · l

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = w + 3

A = 154 m²

Given formula

A = w · l

Substitute values into the formula

154 = w · (w + 3)

Expand Parentheses (Distributive property)

154 = w² + 3w

Subtract 154 on both sides

154 - 154 = w² + 3w - 154

0 = w² + 3w - 154

Solve for the quadratic equation

(w - 11) (w + 14) = 0

w = 11 or w = -14 (Neglected because length cannot be negative)

Hope this helps!! :)

Please let me know if you have any questions

help will give brainliest asap!!

Answers

Answer:

C.

Don't have time for explanation... just trust me

The domain of a function is always equal to which one of the following options?

A. all possible output values of the function
B. the range of the function
C. all possible input values of the function
D. all real numbers​

Answers

Answer:

C. all possible input values of the function

Step-by-step explanation:

Answer:

C is right

Step-by-step explanation:

domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also

Evaluate 2w^2-3w+7 when w=-2

Answers

2w^2 - 3w + 7
2(-2)^2 - 3(-2) + 7
2(4) + 6 + 7
8 + 6 + 7
14 + 7
21

The answer is 21.

Hey there!

2w^2 - 3w + 7

= 2(-2)^2 - 3(-2) + 7

(-2)^2

= (-2)(-2)

= 4

= 2(4) - 3(-2) + 7

2(4) = 8

3(-2) = -6

= 8 - (-6) + 7

= 8 + 6 + 7

8 + 6 = 14

14 + 7

= 21

Answer: 21

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 units from the parent function. It is shifted left 5 units and up 2 units from the parent function. It is shifted right 5 units and down 2 units from the parent function. It is shifted left 2 units and down 5 units from the parent function. It is shifted right 2 units and up 5 units from the parent function. It is shifted left 2 units and up 5 units from the parent function.

Answers

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

[tex]y = \frac{1}{x}[/tex]

[tex]y' = \frac{1}{x+5} + 2[/tex]

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex]y = \frac{1}{x}[/tex]

[tex]y_1 = \frac{1}{x + 5}[/tex]

Next, translate y1, 2 units up.

The rule is:

[tex](x,y) \to (x,y+2)[/tex]

So, we have:

[tex]y' = y_1 + 2[/tex]

[tex]y' = \frac{1}{x + 5} + 2[/tex]

Hence, the transformation is:

5 units left and 2 units up

Answer:

b

Step-by-step explanation:

please help me with this question!

Answers

I am un able to see the photo please re try so I can help

Please answer all of these

Answers

Answer:

1a 300

b 180

c 330

d 1470

e 180

f 7344

Step-by-step explanation:

If two bags of popcorn and three drinks cost $14,
and four bags of popcorn and one drink costs
$18, how much does a drink cost?

Answers

Answer:

2dollars

Step-by-step explanation:

one bag of popcorn is 4 dollars so 4 bags of popcorn is 16 plus 1 drink which is 2 dollars equal 18.

The cost of each popcorn is $4 and the cost of each drink will be $2.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18.

Let the cost of each popcorn be 'x' and the cost of each drink be 'y'. Then the equations are given as,

2x + 3y = 14           ...1

4x + y = 18            ...2

From equations 1 and 2, then we have

2x + 3(18 - 4x) = 14

2x + 54 - 12x = 14

10x = 40

x = $4

Then the value of the variable 'y' is calculated as,

y = 18 - 4(4)

y = 18 - 16

y = $2

The cost of each popcorn is $4 and the cost of each drink will be $2.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

It takes 12 people 15 hours to complete and certain job.how many hours would it take 18 people, working at the same rate to complete 2/5 of the same job?

Answers

Answer:

2 Hours

Step-by-step explanation:

Required man hours to complete the full job = 12 *15

                                                                           =180 Man hours

Required man hours to complete the 2/5 of the job = 180/5

                                                                                      = 36 Man hours

if 18 peoples are working,

required hours to complete the 2/5 of the job = 36 /18

                                                                            = 2 hours

Plz help on this question

Answers

Answer:

B

Step-by-step explanation:

Because it'll be 1²+2×1-3=0

And -3²+2(-3)-3=9-6-3=0

So it's impossible

what is the answer I need help?

Answers

Answer:

8 1/8 units^3

Step-by-step explanation:

This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:

lwh

But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:

bh

Which means area of base times the height.

USE THE FORMULA bh:

16 1/4 x 1/2

= 65/4 x 1/2

= 65/8

SIMPLIFIED: 8 1/8

Volume is measured in cubic units

SO YOUR ANSWER IS 8 1/8 units^3

Which matrix equation represents the system of equations?

{-x+ 2y = 0
y= -2

Answers

We are given a system of equations,

[tex]\begin{cases}-x+2y=0\\y=-2\\ \end{cases}[/tex]

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}[/tex]

The matrix will then be applied to the vector (lower dimensions on top),

[tex]\begin{bmatrix}x\\y\\ \end{bmatrix}[/tex]

And the result vector will be whats on the other side of equals sign,

[tex]\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]

So to put everything together,

[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]

Hope this helps :)

Which number would be rounded UP to the nearest ten but DOWN to the nearest hundred?
A. 232
B. 238
C. 262
D. 268

Answers

Answer:

B

Step-by-step explanation:

b! i hope this helps

what is 9 divided by 7

Answers

Answer: 1.28571428571. This number is infinite.

Step-by-step explanation:

Answer:

1.29 rounded

Step-by-step explanation:

A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate, at most, by 4 miles per gallon. Which of the following absolute value inequalities matches this scenario? Question 23 options: |x + 18| ≤ 4 |x – 18| ≤ 4 |x – 4| > 18 |x + 18| > 4

Answers

Answer:

the correct answer is |x – 18| ≤ 4

just took the test

Step-by-step explanation:

(4x^5)^3 what is the equivalent?

[A] 4x^5+3
[B] 4x^5*3
[C] 4^3x^5+3
[D] 4^3x^5*3

Answers

Answer:

A

Step-by-step explanation:

They are different exponents but they have the same bas so you add them up.

4x^5+3 = 4x^8

[tex] \pink{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: as \: we \: know \: that \\ \\ \bf\: \: \rightarrow \: {(xy)}^{n} = {x}^{n} . {y}^{n} \\ \\ \bf \rightarrow \: {( {a}^{m} })^{n} = {a}^{m \times n} \\ \\ \bf \: now \\ \: \\ \blue{ {\boxed{\begin{array}{cc} \maltese \bf\: \: \: {(4 {x}^{5} })^{3} \\ \bf = {4}^{3} \times ({x}^{5} )^{3} \\ \bf = {4}^{3} \times {x}^{5 \times 3} \end{array}}}}\end{array}}}}[/tex]

So option D) is the correct answer

Please help me on this

Answers

Answer:

gshwhsye

Step-by-step explanation:

gshshhshshshjsjsjsj

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