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

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:

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

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

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

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

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]

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

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

Determine the value of x.

Answers

Answer:

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

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:

Need Help ASAP I’m having trouble

Answers

Answer:

ok

Step-by-step explanation:

nerd nerd nerd nerd lolololollool

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

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

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

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:

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)

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.

please help im so confused at math pls help

Answers

Answer:

where is the question ??

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

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]

I need help please!!

Answers

Answer:

1

Step-by-step explanation:

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

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

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:

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°

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!

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

Answers

Answer:

B

Step-by-step explanation:

x is repeated

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

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

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