What is the solution set of the equation?
[tex]\sqrt{x} -18+9x=x[/tex]

Answers

Answer 1

9514 1404 393

Answer:

  x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

  √x = 18-8x

  x = 324 -288x +64x²

  64x² -289x +324 = 0

  x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

  18 -8x ≥ 0

  x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

  x ∈ {(289 -√577)/128} ≈ {2.07015}


Related Questions

A farmer recently purchased his

​neighbor's farm. Before the​ purchase, the farmer owned a total of 365

acres of land. After the​ purchase, he

owned a total of 521

acres of land. Determine the percent increase in the number of acres of land owned by the farmer.
The number of acres of land owned by the farmer increased by about nothing
​%. round to one decimal place as needed
thank you

Answers

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

On this necklace the ratio of black beads to white beads is 1:4
How many more black beads do you need to
add to make the ratio of black to white 4:1 ?

Answers

16 sfnhfjgskyekrykrk

Answer:

16

Step-by-step explanation:

This is because the ratio of black to white can be set up as 1/4, for every one black bead there is 4 white so what is 1/4x that equals 4? simple, x=16 because 16/4 equals to 4 so it would be 4 black beads to 1 white bead.

21 divided 4 equals 5 1/4 in a word problem

Answers

Answer:

5.25

alternate form

21/4,5/¼

Jimmy had 21 apples and he divided it among his 4 friends. How many apples did each of his friends get?

How do you round 60.95 to the nearest whole number ? What will it become

Answers

it will become 61
because anything above 0.5 rounds up

Answer:

it would become 61

Step-by-step explanation:

the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.

PLEASE HELP ILL GIVE BRAINLIEST!!

What is the volume of the solid, rounded to the nearest tenth? Use 3.14 for TT.
This is too many questions
122.7 cm
3434.4 cm3
858.6 cm

Answers

Answer:

Step-by-step explanation:

Radius r = 12.5/2 = 6.25 cm

Height h = 7 cm

volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm

The expression (y11)(y2)8 is equivalent to yx. What is the value of x?

Answers

DONT OPEN THE ANSWER ABOVE ITS A VIRUS. i will give an answer in the comments though

Joyce determines that 30% of her monthly income goes for rent. If her monthly income is $2,009, about how much is her monthly rent? How much is her yearly rent?

Answers

Answer:

$ 602.7

Step-by-step explanation:

2009$ x 30% = 602.7

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=50°, and WU = 27 feet. Find the length of VW to the nearest tenth of a foot. HELPPP

Answers

Answer:

32.2 feet

Step-by-step explanation:

Answer:

32.2

Step-by-step explanation:

Please help I need it

Answers

Answer:

A. Yeah

Step-by-step explanation:

A. I think what that guy said is right

Which of the following formulas shows how to calculate the ending balance of an account with a beginning balance of $600 that earns 3.5% compound interest over 8 years?

Answers

Answer:

[tex]A(t) = 600(1.035)^8[/tex]

The ending balance is of $790.1.

Step-by-step explanation:

Compound interest:

The amount of money earned after t years, in compound interest, is given by:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

$600 that earns 3.5% compound interest over 8 years

This means, respectively, that:

[tex]A(0) = 600, r = 0.035, t = 8[/tex]

So, the formula is:

[tex]A(t) = A(0)(1+r)^{t}[/tex]

[tex]A(t) = 600(1+0.035)^{8}[/tex]

[tex]A(t) = 600(1.035)^8[/tex]

Ending balance:

The ending balance is:

[tex]A(t) = 600(1.035)^8 = 790.1[/tex]

The ending balance is of $790.1.

Select all statements that are true about bases and heights in a parallelogram

Answers

Answer:

hi

Step-by-step explanation:

1. The area formulas for a triangle and a parallelogram require multiplying base by height.

true

2 .A triangle and parallelogram with the same base and height will have the same area.

false

3. A rectangle and parallelogram with the same base and height will have the same area.

true

4. The area formula of a trapezoid requires finding the product of the bases.

false

5. The base of a triangle is always the shortest side.

false

Answer:

12

Step-by-step explanation:

Select all the expresions that represent the large retangle total area 5 b 3

Answers

Answer:B, C and D are all correct

Step-by-step explanation:

Because, A. 3 (5 + b)

B. 5 (b + 3)

C. 5b + 15

D. 15 + 5b

E. 3 ⋅ 5 + 3b

need help geometry question central angles and arcs pls???

Answers

Answer:

75°,

mUV = 105°, the other 2 are both 75°. This means mTU = 75°

Other two may both be 75

HELP PLEASE DUE IN 4 MINUTES

Answers

the mode of data is 4 hours i think

Can you help me, please please!!!

Answers

Answer:

1.4/10=2/5

2.4/8=1/2

3.8/12=2/3

4.7/5=14/10

5.1/3=2/6

Need help to answer this problem

Answers

Answer:

Step-by-step explanation:

9.1 h + 11.6 t = 9.98(60)

9.1 h + 11.6 t = 598.8 ........ (1)

h + t = 60 ........ (2)

h = 60 - t

9.1(60 - t) + 11.6 t = 598.8

546 - 9.1 t + 11.6 t = 598.8

2.5 t = 52.8

t = 52.8 ÷ 2.5 = 21.12 21 (lb.)

h = 60 - 21.12 = 38.88 ≈ 39 (lb.)

What type of things should a 6th-7th grader be learning?​

Answers

Math,social studies,science, etc

(-14.2b - 97.35) + (6.76d - 118.7 - 3.4d )

Answers

Answer:

Hi! The answer to your question is -14.2b+3.36d-216.05

Step-by-step explanation:

Simplify the Expression.

what are the solution to the system of equations graphed below?

Answers

Answer: the answer is A

Step-by-step explanation:

u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)

Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
A x=-12
B X=-11
C x=14
D x=13

Answers

Answer:

x = 1.5

Step-by-step explanation:

8x + 8 - 3x - 12 = 14 - 7x

5x - 4 = 14 - 7x

-4 = 14 - 12x

-18 = -12x

x = 18/12 or 3/2

Subtract the polynomials:
(1 Point)
f(x) = 10x4 + 2x² +1; 8 (x) = 3x4 + 3x + 11
O f (x) – 8(x) = 7x4 + 2x2 – 3x – 10
O f(x) – 8 (x) = 7x4 + 2x2 – 3x + 12
O f (x) – 8(x) = 7x4 + 2x2 + 3x + 12
O f(x) – 8(x) = 7x4 + 2x2 + 3x - 10

Answers

Answer: thats the answer

Step-by-step explanation:

What is the measure of each interior angle of Regular Polygon?

Answers

Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

140

Each interior angle of regular polygon of n sides is given by  

n

180(n−2)

 degree

∴ each interior angle =

9

180(9−2)

degree

=20×7

=140

HELP PLS!!!
120=x-523?

Answers

Answer:

-62760

Step-by-step explanation:

move 523 to the other side, making it positive
523+120=x
643=x


Help pls and explain I need 10 mins left

Answers

Answer:

32

Step-by-step explanation:

160 should be the answer

Please help. Find the area of the following shape

Answers

There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.

In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².

In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².

In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².

In any case, the area of the shape is 22 m².

Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?

Answers

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

Write the quadratic equation whose roots are -3 and 4 and whose leading coefficient is 4

Answers

Answer:

[tex]4x^2 -4x - 48 = 0[/tex]

Step-by-step explanation:

Given

[tex]x= -3 \ or\ 4[/tex] -- roots

[tex]n= 4[/tex] --- leading coefficient

Required

Calculate the quadratic equation

[tex]x= -3 \ or\ 4[/tex]

Split to 2:

[tex]x = -3\ or\ x = 4[/tex]

Equate both to 0

[tex]x +3 = 0\ or\ x - 4= 0[/tex]

Multiply both together:

[tex](x + 3) * (x - 4) = 0 * 0[/tex]

[tex](x + 3) * (x - 4) = 0[/tex]

[tex]x^2 -4x +3x - 12 = 0[/tex]

[tex]x^2 -x - 12 = 0[/tex]

Multiply both sides by the leading coefficient, n

[tex]n * [x^2 -x - 12] = 0 * n[/tex]

[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]

[tex]4 * [x^2 -x - 12] = 0[/tex]

Open brackets

[tex]4x^2 -4x - 48 = 0[/tex]

A cylindrical can of popped corn has a lateral surface area of 6760 T
cm? The height of the can is 40 cm. Using your formula chart, find the
correct formula and use it to find the radius.
F. 168 cm
H. 13 cm
G. 84.5 cm
J. 26 cm

Answers

9514 1404 393

Answer:

  G.  84.5 cm

Step-by-step explanation:

Assuming the lateral area is 6760π cm², we can find the height from ...

  A = 2πrh

  r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm

The radius of the can is 84.5 cm.

HELP WITH MATH!!!!!!!!

Answers

Answer:

28 units sqr

Step-by-step explanation:

Area of Rectangle

A= Lw = 8(4) = 32

Area of Triangle

A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4

32- 4 = 28 units sqr

A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has

cooled to 200°F. Use a continuous exponential decay model to find the approximate decay

rate.


WILL MARK BRAINLIEST!! 20 POINTS!

Answers

Answer:

The decay rate is of 0.05 = 5% per minute.

Step-by-step explanation:

Continuous exponential decay model:

The exponential equation of decay for an amount, after t units of time, is given by:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.

A pizza is removed from the oven at a temperature of 425 F.

This means that [tex]A(0) = 425[/tex]

After 15 minutes, the pizza has cooled to 200°F.

This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]

We use this to find r.

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]200 = 425e^{-15r}[/tex]

[tex]e^{-15r} = \frac{200}{425}[/tex]

[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]

[tex]-15r = \ln{\frac{200}{425}}[/tex]

[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]

[tex]r = 0.05[/tex]

The decay rate is of 0.05 = 5% per minute.

Other Questions
Log 8 1/32 is equaled to Baggage on the floor of the baggage car of a high-speed train is not prevented from moving other than by friction. The train is travelling down a 5 percent grade when it decreases its speed at a constant rate from 144 mi/h to 66 mi/h in a time interval of 12 s. Determine the smallest allowable value of the coefficient of static friction between a trunk and the floor of the baggage car if the trunk is not to slide. Need help with this!! Read this excerpt from a speech.Cheriton Youth League offers competitive baseball and softball leagues for children ages six to sixteen. And now, Cheriton is offering Amigo League baseball for athletes with special needs. Amigo League offers quality instruction in an environment in which crutches and walkers do not hinder success. The Cheriton Amigo League games will be played on Friday nights at Emmit Station Field. All CYL players should attend these games to observe athletes who are often models of perseverance. Registration for all ages begins next week on the CYL website and at the community center.What line reveals the speakers efforts to persuade?Cheriton Youth League offers competitive baseball and softball leagues for children ages six to sixteen.Amigo League offers quality instruction in an environment in which crutches and walkers do not hinder success.All CYL players should attend these games to observe athletes who are often models of perseverance. Registration for all ages begins next week on the CYL website and at the community center. James mLou 2 mRob 3 mTeri 4 mShawn 4 mSkip 3 mArt 2 mJim mEight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?A) m B) 2.5m C) 4m D) 8m altitudes of right triangle What is the key takeaway of house on mango street Which is correct?Select one:O a. I like her daughter's green eyes.O b. I like her daughters green eyes'.O c. I like her daughters' green eyes.O d. I like her daughter's green eye's. taka is playing a game of darts. she scores 52 points. in the game she is playing, she gets a -3 score each time she misses the board. her final point total is 37. write and solve an equation to find out how many times she missed the board 16) In this excerpt, which BEST describes the relationship between Jamesand Mr. Ramsay? Read the sentences.A seasoned babysitter knows that whenever you serve meals or pass out treats, it is critical to ensure that every child gets an equivalent amount. Otherwise, you will have a mutiny on your hands!Based on the function of the word equivalent in the sentence, what is its correct definition?A) having the same value as another thingB) in a way that is similar to another thingC) to separate into equal partsD) two things that look exactly alike why it is important to prepare first the materials and tools carpentry before doing the tasks? Noah is going to invest in an account paying an interest rate of 3.7% compounded annually. How much would Noah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,110 in 13 years? If a famous person in history belonged to the upper class in his country, what was his life like?He had more money than other people in his country.He was a harder worker than most people in his country.He was more religious than most people in his country.He had fewer choices about where to live than others in his country. Sentence 1 is an example ofa.a sentence fragment.b.incorrect subject-verb agreement..c.a run-on sentence.d.correct subject-verb agreement. It is not the strongest of species that survive nor the most intelligent but the one most responsive to __________________ hey please help also please explain how you get the answer What is the overall Tone of"Huswifery"? !Help help help! lols What has been one effect of religious diversity on Lebanon?A. Sunni Islam is the official state religion, but other religions arewidely accepted.B. Religious groups engage in repeated acts of genocide againstreligious minorities.C. Shia Islam is the only officially acknowledged religion in the state.D. The government has allocated particular political posts formembers of specific faith groups.