1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dolphi86 [110]
3 years ago
7

S is a geometric sequence. (Square root x-1),1 and (square root x+1) are the first three terms of s. Find the value of x.

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0

Answer:

2

Step-by-step explanation:

(√x - 1) / 1 = 1 / (√x + 1)

√x - 1 = 1 / (√x + 1)

√x - 1 =  √x - 1 / (√x + 1)(√x - 1)

√x - 1 =  √x - 1 / x - 1

(√x - 1)(x - 1) = √x - 1

x - 1 = 1

x = 2

lora16 [44]3 years ago
4 0

Answer:

x = ± \sqrt{2}

Step-by-step explanation:

given the 3 terms of a geometric sequence

\sqrt{x-1}, 1, \sqrt{x+1}, then the common ratio r

r = \frac{\sqrt{(x+1)} }{1} = \frac{1}{\sqrt{(x-1)} } ( cross- multiply )

\sqrt{(x+1)(x-1)} = 1 ( square both sides )

(x + 1 )(x - 1 ) = 1 ← expand factors on left side )

x² - 1 = 1 ( add 1 to both sides )

x² = 2 ( take the square root of both sides )

x = ± \sqrt{2}


You might be interested in
At the beginning of the month, Sheryl had a balance of $120 in her checking account. She then made a purchase for $80, using her
kolezko [41]

Answer:

$80

Step-by-step explanation:

4 0
3 years ago
What is 14 pints equal to in cups?
lilavasa [31]
There are 2 cups in 1 pint. So you could count by 2s until you get to 14. Or you can multiply 14×2=28
4 0
3 years ago
Which expression is equivalent to (144k^2r^14)1/2 for all positive values of k and r?
FrozenT [24]

Answer: B

Step-by-step explanation:

4 0
3 years ago
A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R
maw [93]

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar      R

5.8        0.42

6.1         0.38

16.02    0.08

15.95    0.15

16.12     0.42

6.18      0.23

5.87     0.36

16.2      0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

8 0
3 years ago
Enter the missing numbers in the boxes to complete the table of equivalent ratio's.
fredd [130]


Step-by-step explanation:

Time          Distance

2                      3

6                      9

10                    15

12                    18

5 0
3 years ago
Other questions:
  • James and Jeff are two brothers who love pizza. Between the two of them, they can eat 94 of a whole pizza. Convert this number o
    12·1 answer
  • Which of the following is equivalent to 60^1/2
    8·2 answers
  • Find the product of the solutions of this equation. 15x^2+23x-41=0
    8·1 answer
  • Using the tree diagram, what is the probability of 2 misses?
    11·1 answer
  • The formula for the lateral surface area of a cylinder is S=2πrh , where r is the radius of the bases and h is the height. Solve
    5·1 answer
  • The perimeter of a rectangle is 96 ft. The ratio of the length to the width is 7:5. what are the dimensions of therectangle?
    7·1 answer
  • Will someone please explain how I figure out number 9 and 10?
    8·1 answer
  • Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB acros
    15·2 answers
  • Please helppppppppppp <br><br><br><br> i put it at 50 points-
    10·2 answers
  • What is 3.405 rounded to the nearest tenth of an ounce?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!