3(x-4)^2=27 solution

Answers

Answer 1

Answer:

x = 11

x = 7

Step-by-step explanation:

divide each side by 3 to get:

(x-4)² = 9

(x-4)² is the difference of two squares and has these factors:

(x+2)(x-2) = 9

x + 2 = 9;  x = 7

x - 2 = 9;  x = 11


Related Questions

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?

Answers

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

Your marketing team has conducted two focus group sessions to evaluate a new product design. The first focus group consisted of teenagers and resulted in four out of five liking the new product. The second group was made up of parents of young children. Only one out of five people in this group said they liked the same new product as the teens. With 90% confidence (Z = 1.64), can you say that there is a difference between the views of these two populations? Please show your calculations, use 2 decimal places in your calculation answer, and justify your answer regarding differences.

Answers

Answer:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

Step-by-step explanation:

1) Formulate the hypotheses:

H0 : p1=p2

Ha: p1 ≠ p2

2) The significance level is chosen at ∝= 0.1  

3) The critical region is Z∝/2 ≥ ± 1.645

4) The test statistic under H0 is

Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)

p1^= proportion of of teenagers liking the new product.

p2^ = proportion of of parents of young children liking the new product.

p1^= 4/5

p2^= 1/5

p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5

q^= 0.5

Thus

Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)

z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)

z= 0.6/ 0.316227

z= 1.897

5) Conclusion:

Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.

a trailer that can be attached to the back of the truck also has a volume of 180 cubic feet. what could be the possible dimension of the trailer

Answers

Answer:

5x6x6

Step-by-step explanation:

5x6x6=180

3x3x20=180

4x5x9=180

[tex]\sqrt[3]{180}[/tex]=5.65

An eight-sided die has the numbers 1 through 8 on its eight faces. What is 2 points
the expected value when rolling the die? *
O 3.6
04
4.5
06

Answers

Answer:

4.5

Step-by-step explanation:

(1/8)*1 + (1/8)*2 + (1/8)*3 + ... +(1/8)*8

or

(1/8)*(1  2 + 3 + 4 + 5 + 6 + 7 + 8) = (1/8)*36 = 4.5

We can use a shortcut to sum the numbers 1 through 8.  It is given by 8*(8+1)/2.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

......................................

Please help me I need help

Answers

Answer:

The first one would be the top answer.

He can play less than 5 minutes before he loses a life.

Step-by-step explanation:

Can someone pls help me

Answers

Answer: Hewo, there! your Answer is Below

18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24

Step-by-step explanation:

Hope this Helps you!!!

Have a great day!!!

two friends bought a strip of tickets for the school carnival. Arlo used 5/6 of his tickets. jayson used 6/6 of his tickets.

Answers

::::::::::::::::::::

Answer:

total number of tickets bought: 12

total number of tickets used: 11

Jayson used 1 more ticket than Arlo

Step-by-step explanation:

Erm, I don't know what you want answered, but here's some basics:

So to find how many total tickets were bought, we just have to add both of the strips together:

6 + 6 = 12

So the total number of tickets bought was 12.

To find the amount of ticket used, you have to add the top numbers together:

5 + 6 = 11

So the total number of tickets used is 11.

If you wanted to find how many more tickets Jayson used than Arlo, you'd have to subtract Arlo's tickets from Jayson's:

6 - 5 = 1

So Jayson used 1 more ticket than Arlo.

Sorry I couldn't have been more of a help:/

What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?

A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)

Answers

Answer:

B: (2,-4)

Step-by-step explanation:

x-2=0

x=2

y+4=0

y=-4


Helppppppp plsssssssssssssssssssssss

Answers

Answer:

Its 12.51

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

then you get your answer! Hope this helps!

What’s the answer helpppp

Answers

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

Please can someone find X! Please!

Answers

Answer: x=26

Explanation:
24^2+10^2= 676
Sqrt 676 = 26

What are the answer I don’t need the process

Answers

Step-by-step explanation:

Don't you need a key for what K equals to solve this?

A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $8 the average attendance per game has been 20000. When the price dropped to $6, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price.

Find a function that models the per game revenue in terms of the price
p


R
(
p
)
=



What ticket price would maximize revenue? (round to the nearest cent)

Answers

9514 1404 393

Answer:

  R(p) = -3500p^2 +48000p . . . revenue function

  $6.86 . . . price for maximum revenue

Step-by-step explanation:

The 2-point form of the equation for a line can be used to find the attendance function.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (27000 -20000)/(6 -8)(x -8) +20000

  y = -3500(x -8) +20000

  y = 48000 -3500x . . . . y seats sold at price x

The per-game revenue is the product of price and quantity sold. In functional form, this is ...

  R(p) = p(48000-3500p)

  R(p) = -3500p^2 +48000p . . . per game revenue

__

Revenue is maximized when its derivative is zero.

  R'(p) = -7000p +48000

  p = 48/7 ≈ 6.86

A ticket price of $6.86 would maximize revenue.

someone please help me answer this!1

Answers

Answer:

b = 30 yd is the answer.

Step-by-step explanation:

a = 40 yd

b = ?

c = 50 yd

According to the Pythagoras theorem,

a² + b² = c²

40² + b² = 50²

1600 + b² = 2500

b² = 2500 - 1600

b² = 900

b = 30 yd

∴ b = 30 yd is the length of the missing leg.

zz* + 3iz = p + 9i
where z is a complex number and p is a real constant.
Given that this equation has exactly one root, determine the complex number z

Answers

Step-by-step explanation:

I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?

I have x already and z = x+iy

3i and 3 are two complex numbers that fulfill this equation.

What are complex numbers?

A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex]. The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.

We have -

zz* + 3iz = p + 9i

Assume the complex number to be -

z = a + ib

Then -

(a + ib)(a - ib) + 3i(a + ib) = p + 9i

a² + b² + 3ai + 3bi = p + 9i

(a² + b²) + i(3a + 3b) = p + 9i

So -

3(a + b) = 9

a + b = 3

(a² + b²) = p

Now -

Assume p = 9

Then -

a + b = 3

a² + b² = 9

we get two possible values -

(a, b) = (0, 3)

and

(a, b) = (3, 0)

It can be seen that the values of complex number depend upon the value of p. For p = 9, two complex numbers fulfill this equation -

0 + i3 = 3i

3 + i0 = 3

Therefore, 3i and 3 are two complex numbers that fulfill this equation.

To solve more questions on complex numbers, visit the link below-

brainly.com/question/617146

#SPJ2

In a video game a centipede follows a path that can be particularly modeled by the function f(x)=x(x-5)(x-3) what are the zeros of this function

Answers

Answer
D) 0 , 5 , 3
Explanation

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

What are the zeros of the polynomial function?

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

The given polynomial function is f(x)=x(x-5)(x-3).

Here, x(x-5)(x-3)=0

x=0, x-5=0, x-3=0

x=0, x=5 and x=3

The zeros of the given polynomial function are 0, 5 and 3. Therefore, option D is the correct answer.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ2

Evaluate the six trigonometric functions of the angle 0?


Answers

Step-by-step explanation:

In the above right Angled triangle , we have ,

perpendicular = 12base = 9hypontenuse = ?

For finding hypontenuse use Pythagoras Theorem , we have ,

⇒ h² = p² + b²

⇒ h² = 9² + 12²

⇒ h² = 81 + 144

⇒ h² = 225

⇒ h = √225

⇒ h = ± 15

h = 15 [ Neglect -ve value ]

Therefore ,

cosθ = b/h = 9/15sinθ = p/h = 12/15tanθ = p/b = 12/9cosecθ = h/p = 15/12 secθ = h/b = 15/9 cotθ = b/p = 9/12

The figure is formed by joining two rectangular prisms.
What is the volume of the figure?
6 m
4 m
4 m
2 m
3 m

Answers

Answer:

3m

Step-by-step explanation:

3-dimensional space an object occupied

An object was launched from a given height. The
equation for the object's height over time is given
as: h= -16t^2 + 19.6t +58.8. What was the
object's initial height?

Answers

Answer:

Nut Gonna Help!

Keep Learning!

Step-by-step explanation:

An object was launched from a given height. The

equation for the object's height over time is given

as: h= -16t^2 + 19.6t +58.8. What was the

object's initial height?

Find the mode of the data set. 46, 44, 49, 54, 51, 50, 47, 41, 47, 51, 51, 40, 53, 50, 52, 53

Answers

Answer:

51

Step-by-step explanation:

To find the mode of a data set, you must order the data set from least to greatest and find out which number appears the most. For example, I ordered the data set in this example, and found the out that 51 appeared the most.

You buy tomatoes in 25-pound cases. One batch of Cobb salad requires 1.1 ounces of tomatoes. How many portions can be made with one case? Round down (don’t include partial portions).

Answers

Answer:

363 portions can be made with one case.

Step-by-step explanation:

Since I buy tomatoes in 25-pound cases, and one batch of Cobb salad requires 1.1 ounces of tomatoes, to determine how many portions can be made with one case, the following calculations must be performed:

1 pound = 16 ounces

25 pounds = 400 ounces

400 / 1.1 = 363.63

Therefore, 363 portions can be made with one case.

ASAP PLEASE HELP

WILL MARK BRAINLIEST

Answers

Answer:

A, B, and C All have four sides, and they all have opposite sides that are equal. B and C have right angels. A has angels on opposite side that are the same

Step-by-step explanation:

Find tan A for the triangle below. A right triangle. The hypotenuse is 24.19, the side opposite to angle A is 12, and the side adjacent to angle A is 21.

a. 0.868
b. 0.496
c. 1.75
d. 0.5714

Answers

Answer:

D. Just follow the definition in the first line of the answer.

Step-by-step explanation:

Tan(A) = the opposite Side / Adjacent Sid

Tan(A) = 12/21

Tan(A) = 0.5714

Answer:

D. 0.5714

Step-by-step explanation:

I am a rizzly bear

An angle measures 59 degrees what is the measure of its supplement

Answers

Answer:

add up to 90 degree

Step-by-step explanation:

The measure of its supplement would be 121 degrees.

The speed of a giraffe is 500% of the speed of guinea pigs If a guinea pig's speed is 6 miles per hour, find the speed of a giraffe. speed of a giraffe

Answers

Answer:

30 mph

Step-by-step explanation:

6 x 500% = 6 x 5.00 = 30 mph

ima fail if i dont do these questions please help!!!

Answers

Answer:

Cuboid's volume is l · w · h

for number one, (9 1/2)·6·(4 2/3), you get 266

there is also triangular prism, which is V = 1/2 b·h·l

which is (1/2 6.9)·8·18 which is 496.8

the surface area is just the area of all the shapes added together, i didn't see any lateral surface area on there, so im not gonna explain unless you want me to.

please help. im stuck on this one ​

Answers

Answer:

B

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if the value obtained equals the right side then it is a solution.

A (- 4, 4 )

- 3(- 4) - 4 = 12 - 4 = 8 ≠ 6 ← not a solution

B (- 3, 3 )

- 3(- 3) - 3 = 9 - 3 = 6 ← this is a solution

The result is B

Plz help me well mark brainliest if you are correct!

Answers

Answer:

4

Step-by-step explanation:

) Let ABCD be a convex quarilateral, and suppose that AB = CD and BC = DA.
9 Prove that AB ∥ CD and BC ∥ DA. What do you call such a figure?

Answers

2 dimensional figure
Other Questions
Solve the following system x+y=376 4x+7y=2119 If a family has four children, determine the probability that exactly two of thechildren are girls In what two ways does God have the "rights of a creator?" (You may use the example of a potter to explain your answer.) which is greater -111 or -1111 can someone please help me b or c What is motel???Need an answer What is 3 + 4 1/3Plz help I really would appreciate it :D Maria is ordering comic books online. The equation y=8x + 4 represents the total cost in dollars, y, including shipping, for ordering x number of comic books. If the total cost including shipping is $60, how many comic books is Maria ordering? Use the graph to help you determine the answer. aye i have a question can yhu help me right quick?? ighty i was suppose to have this novel long story short ion have the dayum novel, Maus is the name of the novel. What is the novel about, can yhu write it in a paragraph??? Thanks XD Please answer I will mark you Brainliest Help me!!!!!!!!!!!!!!!! is x = -3 a solution for the following equation: 6x - 19 = 3x - 10? Be sure to show work. WILL MARK BRAINLIEST PLEASE HELP USATESTPREP QUESTION MULTIPLE CHOICEGeneral William Sherman led the Union Army through much of the South during the Civil War. Two of his major contributions were the Atlanta Campaign and Sherman's March to the Sea. Choose ALL statements that describe similarities between these two Civil War events. A) They were both short battles, only lasting a few hours each. B) The Confederate Army won major victories over the Union Army. C) Sherman and his army forced the Confederate Army to surrender. D) Very few Union or Confederate lives were lost in these events. E) Farms, buildings, properties, and homes were burned to the ground. What is the base, perimeter of base, and height of this figure? No links pls or I will report u! PLEASE HELP MEEEEEE!!! BRAINLIEST WILL BE GIVEN! NO LINKS! In the troposphere, the higher the altitude (distance from the ground), the _______ the atmospheric pressure. Layla calculates the mean of the ages of 10 students on her bus, and she discovers the average(mean) age is 12.8. What will happen to the mean if she includes her bus driver's age of 56 in her data set? *A.The mean will stay the same.B.The mean will decrease.C.The mean will increase.D.There isn't enough information. Find: AABCD in square unit. state two changes which take place in the flower after pollination Enzo and Zahra are playing a game. Their scores for five games are shown in the table below.Enzos and Zahras ScoresEnzos Scores3947465038Zahras Scores3733453045Enzos mean score is 44. Zahras mean score is 38. How much greater is the mean absolute deviation for Zahra's scores than for Enzo's scores?1.24.45.66.0