Solve by finding square roots
4 (x-1)^2=96

Answers

Answer 1

Answer:

2√6 + 1

Step-by-step explanation:

Given expression:

           4(x-1)²  = 96

Solving by square root;

  Square root both sides;

         [tex]\sqrt{4(x-1)^{2} }[/tex]   = √96

 

           √4(x-1)²  = √6x16

          √4(x-1)²  = 4√6

           2(x-1) = 4√6

 Divide both sides by 2;

            x-1  = 2√6

  Add 1 to both sides;

            x  = 2√6 + 1

 


Related Questions

I need help please!!

Answers

Answer:

1

Step-by-step explanation:

The line goes through the point 1, so that will be the slope.

18.
The area of the rectangle shown is at most 140 square centimeters.
a. Write and solve an inequality to find the possible
values of x.
10 cm
b. Based on the answer in part (a), is it possible for
the rectangle to have a length of 15 centimeters?
Explain.
(3x + 2) cm

Answers

9514 1404 393

Answer:

  a) 10(3x+2) ≤ 140; x ≤ 4

  b) no

Step-by-step explanation:

a) The area is the product of length and width. We want that product to be no greater than 140:

  10(3x +2) ≤ 140 . . . . your inequality

We can solve this by dividing by 10 first.

  3x +2 ≤ 14

  3x ≤ 12 . . . . . . subtract 2

  x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality

__

b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.

Day 2 question: Get it right and I'll give you brainliest(or if I just like your answer). Who is my favorite American rapper?
A. Kevin Gates
B. Megan Thee Stallion
C. Moneybagg yo
D.Cardi B

Extra Question: If you could be one celebrity for the day then who?
Answer to the last question(which I think was deleted but i'll put it anyway)
My favorite kpop groups order is: B(P1Harmony, Seventeen, Ateez, Stray Kids)

Answers

Answer:

Cardi B

Step-by-step explanation:

and my kpop stan is SEVENTEEN and im a carat, my bias is woozi

Answer  I think its money bagg yo and i would want to be Ariana Grande

Step-by-step explanation:

Jonathan’s class has 30 boys. Of the students in his class, 60% are girls.How many girls are in Jonathan’s class?

Answers

Answer:

45=60%

15=20%

30=40%

60=80%

75=100%

Step-by-step explanation:

Answer: Approximately due to my calculations there are about 60 girls

Step-by-step explanation:60% as a decimal is 0.6

2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*

Answers

$150.82
8.5% of 139 is $11.82 then u add that to 139

Just answer correctly to get brainleist and 10 pts! :)

Answers

Answer:

B

Step-by-step explanation:

x is repeated

Which of the following is equivalent to the addition problem below?
27.93 +61.63

Answers

something equivalent to this could be 44.78+44.78!

Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST​

Answers

Answer:

Nu 4550

Step-by-step explanation:

Commission of 5% only applies to the first 70,000 so

[tex]70,000*\frac{5}{100} = 3500[/tex]

That leaves 15,000 left in sales where the 7% commission applies.

[tex]15,000*\frac{7}{100}=1050[/tex]

Adding these two together we get a total of

[tex]3500 +1050=Nu4550[/tex]

Which segment is both a chord and diameter segment____ . AO AE BC B

Answers

Answer:

Answer is BD

Step-by-step explanation:

Answer:

BD

Step-by-step explanation:

Need help ASAP please give answer in cm squared

Answers

Answer:

17×15=255

Step-by-step explanation:

you do base times height

Determine x for the problem

Answers

Answer:

Step-by-step explanation:

2d^5(3d)^x=162d^9

I would assume x is 4 since the ending power is 9. When you multiply powers you add them.

X is 4 Bc the ending power is 9

The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers. Write your answer as two numbers separated by a coma.

Answers

Answer:

20, 24

Step-by-step explanation:

smaller:   x

  larger:  2x - 16

x + 2x - 16 = 44

3x -16 = 44

3x = 60

x = 20

smaller:   x = 20

  larger:  2x - 16 = 2(20) - 16 = 24

b) When heated an iron bar expands by 0.2%. If the increase in length is 1 cm,
what is the original length of the bar ? ​

Answers

Simple algebra.

When we convert this to an equation we get: 0.2% of something is equal to 1 unit.

So here's the equation: [tex]0.02x = 1[/tex]

After we transpose [tex]0.02[/tex], the equation become: [tex]x = \frac{1}{0.02}[/tex].

Divide [tex]1[/tex] with [tex]0.02[/tex] and you get [tex]50[/tex].

So the length of the original bar is [tex]50[/tex] cm. :D

how to write thirty six thousanths in standard form

Answers

Answer:

36,000

Step-by-step explanation:

google

Answer:

3600

Step-by-step explanation:

because that's how you write it so yes do it please this is the answer s itch wi guy if i.p.o fallacy hallmark plz upload pda fool jsa xxl la all pda all jazz dlp jazz all

simplify each expression
(e^2)(g)(g^4)(e^3)
(e)(e^2)(e)

Answers

9514 1404 393

Answer:

e^5g^5e^4

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

  [tex](e^2)(g)(g^4)(e^3)=e^{(2+3)}g^{(1+4)}=\boxed{e^5g^5}\\\\(e)(e^2)(e)=e^{(1+2+1)}=\boxed{e^4}[/tex]

7. Find the slope of the line.

Answers

Answer:

1/5

Explanation:

For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5

Answer:

5

Step-by-step explanation:

take 2 points on the graph, for example (4,20) and (2,10) use y2-y1/x2-x1 to solve ,plug in the values 20-10/4-2= 10/2 = 5

3
..
4) through: (-2,5), slope
2.

Answers

Answer:

y - 5 = 2(x + 2)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 2

Point (-2, 5)

Step 2: Create equation

y - 5 = 2(x + 2)

Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2

Answers

Answer:

Slope Intercept Form: y= -3/2× + 2

Need Help ASAP I’m having trouble

Answers

Answer:

ok

Step-by-step explanation:

nerd nerd nerd nerd lolololollool

the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^

Answers

Use the formula P = 2a+ b.

Let a = 12

Let b = 8

P = 2(12) + 8

P = 24 + 8

P = 32

PLS HELP ASAP

BRAINLIEST

Answers

The answer is 72°
18 x 2 = 36°
180 - 36 = 144°
144 / 2 = 72°

If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a showing? (Do not include labels with your answer, just type in the number.)

Answers

The answer would be 3900 money

write 600 as a product of a prime factor give your answer in index form

Answers

Answer:This is problems on common factors.

(a) 600 = 2 × 2 × 2 × 3 × 5 × 5

      = 2³ˣ 3 ˣ 5²

(b)   The highest common factors could be calculated using factors methods and the divisional methods.

Here we go.

(i)   600  = 2³ ˣ 3 ˣ 5²

    1050 = 2 ˣ 3 ˣ 5² ˣ 7, the highest common factor HCF will be

     HCT = 2 ˣ 3 ˣ 5²

              = 150.

The divisional methods.

    600) 1050 ( 1

           -  600

               ------

              450 ) 600 ( 1

                      -  450

                         ------

                          150 ) 450 ( 3

                                 - 450

                                   ------

                                  000

So the answer is 150, the principle is that you continue to divide and subtract until you arrive at zero.

Answer = 150

If this is incorrect you should report my answer... Hope this was helpful... Stay safe and have a great weekend!!! :D

please help im so confused at math pls help

Answers

Answer:

where is the question ??

Determine the value of x.

Answers

Answer:

7x-12=9x-26
X=7

The number one selling item at Sam’s Swim Shop is a beach towel. It is priced at $7.50 , How much will Mrs. Wilson spend if she purchases 4 beach towels and pays 6% sales tax ?

Answers

Mrs. Wilson will pay $31.80 for the beach towels

Answer:

$31.80

Step-by-step explanation:

Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter after each draw. Find the probability that the letter "i" is drawn at least once.

Answers

Answer:

P(X ≥ 1) = 0.50

Step-by-step explanation:

Given that:

The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.

Then; the probability of success = 7/34 = 0.20588

Using Binomial distribution to determine the probability; we have:

[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]

where;

x = 0,1,2,...n    and    0  <  β   <   1

and x represents the  number of successes.

However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:

P(X ≥ 1) = 1 - P(X< 1)

P(X ≥ 1) = 1 - P(X =0)

[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]

[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]

P(X ≥ 1) = 1 - 0.50

P(X ≥ 1) = 0.50

I need help on this question!

Answers

The answer I am not sure but will try
Ans: 110

Answer:

110 cookies in 180 minutes

Step-by-step explanation:

What is the image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-8, 9)

Step-by-step explanation:

A 180 degree rotation is:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to the point given:

[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]

Hope this helps.

The image of the point (8,-9) after a rotation of 180° counterclockwise

about the origin is (-8, 9).

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)

A 180 degree rotation is:

(x, -y) ---  (-x, y)

Apply the rule to the point given:

(8,-9) --- (-8, 9)

Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

please number the answers

i will report answers that are not real answers ​

Answers

Answer:

7. x^2 + 5x + 6

8. x^2 + 18x + 77

9. x^2 + 8x + 16

10. x^2 - 1

11. 2x^2 + x - 78

12. 6x^2 - 13x - 5

13. 9x^2 - 48x + 64

14. 81x^2 - 49

BRAINLIEST PLEASE!!!! I ACTUALLY DID THE WORK FOR YOU!!

Answer:

7:(x+2)(x+3)

x²+3x+2x+6

x²+5x+6

8:(x+7)(x+11)

x²+11x+7x+77

x²+18x+77

9:(x+7)²

(x+7)(x+7)

x²+7x+7x+49

x²+14x+49

10:(x+1)(x+1)

x²+x-x+1

x²+1

11:(2x+13)(x-6)

2x²+6x+13x-78

2x²+19x-78

12:(2x-5)(3x+1)

2x(3x+1)-5(3x+1)

6x²+2x-15x+5

6x²-13x+5

13:(3x-8)²

(3x-8)(3x-8)

9x²-24x-24x+64

9x²+48x+64

14:(9x-7)(9x+7)

81x²+63x+63x+49

81x²+126x+49

Other Questions
Alex deposits $4,000 in a savings account that pays 5% interest, compounded semiannually. What is his balance after one year? How did closed-range ranching allow ranchers to turn a better profit?A. Long cattle drives allowed ranchers to sell more cattle.B. Shorter cattle drives resulted in ranchers losing fewer cattle.C. Fewer railroads lowered ranchers' transportation expenses.D. Fewer settlements gave ranchers more empty land for grazing.Plzz hurry which of the following is not commonly used in adding height to a dish What does "Buffalo buffalo Buffalo buffalo buffalo buffalo Buffalo buffalo" Mean? A sector of a circle has an area of 132m. if the angle of the sector is 105,,calculate the radius of the circle Hi, please help!Evaluate the expression when x = 5, y = -3,z = -2.x-5z/y What is the Judaism distribution? The spread of the European witch craze during the Middle Ages was fueled by:Group of answer choicesplagerumorsprinting presswarfare 2.Turkey for sandwiches costs $7.75 per pound. What equation best representsy, the total cost of x pounds of turkey?a. X = 7.75 + yb. X = 7.75yc. Y = 7.75 + xd. Y = 7.75x how to do this question la classe de mme arnaud What is a writing prompt?What is a rubric?How are you assessed in writing/howareyou scored? Faye bought 3 bookmarks at the book store if each bookmark cost $1.40 and she paid with a twenty dollar bill how much change should she get back What ratio is equivalent to 5:3O 15:320:12O 15:1212:20 interest credited means what When you perform a Google search that uses the word "and" (for example: "Restaurant AND Houston"), which kind of logic are you using? abinary bordered pairing cBoolean dhexadecimal Translate the algebraic expression 8(8+7J+8) Joes father and mother have just divorced, and his father has moved to another state. Joe misses his father and feels isolated because he wont be seeing him very often. He thinks the situation is hopeless. What stage of grief is this. 100 POINTS TO FIRST ANSWER THAT IS CORRECT AND BRAINLIESTComrades! cried Squealer, making little nervous skips, a most terrible thing has been discovered. Snowball has sold himself to Frederick of Pinchfield Farm, who is even now plotting to attack us and take our farm away from us! Snowball is to act as his guide when the attack begins. But there is worse than that. We had thought that Snowballs rebellion was caused simply by his vanity and ambition. But we were wrong, comrades. Do you know what the real reason was? Snowball was in league with Jones from the very start! He was Joness secret agent all the time. It has all been proved by documents which he left behind him and which we have only just discovered. . . .. . . But it was some minutes before [the animals] could fully take it in. They all remembered, or thought they remembered, how they had seen Snowball charging ahead of them at the Battle of the Cowshed, how he had rallied and encouraged them at every turn, and how he had not paused for an instant even when the pellets from Joness gun had wounded his back. . . . Even Boxer, who seldom asked questions, was puzzled. . . .I do not believe that, he said. Snowball fought bravely at the Battle of the Cowshed. I saw him myself. Did we not give him Animal Hero, First Class, immediately afterwards?Animal Farm,George OrwellWhich statement best describes how Boxers response supports the authors purpose? Boxers defiance shows how the working class often fights back against authority.Boxers agreement shows that the working class will always respect authority figures.Boxers actions show that the working class may question authority in spite of propaganda.Boxers acceptance shows that propaganda is effective in manipulating the working class. The wartime boom was characterized by which of the following?a. stockpiles of manufactured goodsb. businesses producing goods and products slowlyc. a decline in the American consumer cultured. employees suffering lower wages I have 1414 points soo