(x-8)2 – 7 = 25
Factored

Answers

Answer 1

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2


Related Questions

Which statement describes why AABC and ADEF are congruent by SAS?

Answers

Answer:It is The first one.

Step-by-step explanation:

Where do the lines y = 3x + 5 and y = -2x + 10 intersect?

Answers

9514 1404 393

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

A graphing calculator quickly tells you the point of intersection.

__

You can equate the y-values and solve for x.

  3x +5 = -2x +10

  5x = 5 . . . . . . . . . add 2x-5

  x = 1 . . . . . . . divide by 5

  3·1 +5 = y = 8 . . . . substitute for x in the first equation

The point of intersection is (x, y) = (1, 8).

If 0 = 35, then solve for X.
Х
9
Round to the nearest hundredth.

Answers

Answer:

x = 15.69

Step-by-step explanation:

Reference angle = 35°

Opposite side to reference angle = 9

hypotenuse = x

Find x using trigonometric ratio.

Thus,

Sin 35 = 9/x

Multiply both sides by x

x*sin 35 = 9

Divide both sides by sin 35

x = 9/sin 35

x = 15.69 (nearest hundredth)

I need help quick please!!!!

Answers

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

Please help at least one Number it please!!!!

Answers

I believe that would be -2 plus 90 because 9 by 10 is 90 and you’d write down -2+90 and you’d get -88

The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely.
(a) What is the probability that the general manager is next to the vice president?
(b) What is the probability that the marketing director is in the leftmost position?
(c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.

Answers

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

                  = 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

  [tex]$=\frac{14}{8!}$[/tex]

 = [tex]$\frac{14}{40320} = 0.000347$[/tex]

b). The probability that the marketing director to be placed in the leftmost position is

   [tex]$=\frac{7!}{8!}$[/tex]

  [tex]$=\frac{1}{8} = 0.125$[/tex]

c). The two events are not independent because

   [tex]$P(A \cap B) \neq P(A) \times P(B)$[/tex]

  [tex]$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$[/tex]

where A is the case a and B is the case b.

(a) The possibility of the general manager is next to the vice president is [tex]\frac{1}{4}[/tex].

(b) The possibility of the marketing director is in the leftmost position is [tex]\frac{1}{8}[/tex].

(c) So, the two events are dependent on each other.

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it. The probability of all the events in a sample space adds up to 1.

Total people in company A and company B is [tex]=8[/tex]

Overall ways in which these [tex]8[/tex] people can be lined up[tex]=8![/tex]

                                                                                        [tex]=40320[/tex]

(a) The probability that the general manager is next to the vice president is[tex]=P(A)[/tex]

Now, we can combine the general manager and vice president as one, then the total people in both the company will become [tex]7[/tex].

by arranging these [tex]7[/tex] people in one line [tex]=7![/tex]

                                                                [tex]=5040[/tex]

Again, combine the general manager and vice president in one line[tex]=2![/tex]

                                                                                                                [tex]=2[/tex]

Therefore, [tex]P(A)=\frac{5040\times 2}{40320}[/tex]

                          [tex]=\frac{10080}{40320}[/tex]

[tex]P(A)=\frac{1}{4}[/tex]

(b) The probability that the marketing director is in the leftmost position is[tex]=P(B)[/tex]

Now, fixing the position of marketing director in the leftmost.

arranging the [tex]7[/tex] other people in [tex]7![/tex] ways [tex]=5040[/tex]

Therefore,[tex]P(B)=\frac{5040}{40320}[/tex]

                          [tex]=\frac{1}{8}[/tex]

[tex]P(B)=\frac{1}{8}[/tex]

(c) Assuming event B already occurred which means that the position of marketing director is already fixed in the leftmost position.

Now, trying to find out the probability of the general manager next to the vice president is event A. it comes different because we are not allowed to arrange rest [tex]7[/tex] people, we have to fix the position of one person that causes the repetition of probability.

So, the two events are dependent on each other.

Learn more about the topic of Probability: https://brainly.com/question/26959834

solve the question, please 2.0

Answers

Answer:

43.88

Step-by-step explanation:

Using the sine rule

Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}

Answers

Answer: domain: {-2, -1, 0, 1}

range: {0, 1, 2, 3}

HELLP MEEEE PLEAAASSSEE

Answers

THE FUGURE IS 140 DEGREES JUST REEVALUATE THE ANGLES
okay fine no problem

Cuanto 5 entre 6'658

Answers

Es 1,331.6
................

4 + 2x = 20 so what does x =

Answers

4 + 2x = 20
2x = 16
x = 8

You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10

Answers

C its correct thanks

Answer:

15 (A)

A is the legit answer.

Which of the following is in reduced form?

Answers

A. -14x^2/15y^3
Rest all are not reduced in terms of signs and factors.

I will give brainiest to whoever answers correctly !!

Answers

Answer:

A = $2937.5

Step-by-step explanation:

Given the following data;

Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850

Therefore, Principal = $2850

Time in years = 36 months/ 12 months = 3 years

Interest = 1% = 1/100 = 0.01

n = 360

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

[tex] A = 2850(1 + 0.000028)^{1080}[/tex]

[tex] A = 2850(1.000028)^{1080}[/tex]

[tex] A = 2850(1.0307)[/tex]

A = $2937.5

Therefore, the graduate will have $2937.5 when he cashes in the CD.

if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8

Answers

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

Tires regularly priced at $44 each are on sale for $37. How much would a truck owner save by buying four tires at the sale price?

A. $7

B. $28

C. $49

D. $81​

Answers

$28 dollars because u multiple 44 by 4 which is 176 and then 37 by 4 which is 148 and do 176-148 which is 28 dollars the answer is B

Answer:

B

Step-by-step explanation:

the truck owner saves 7$ from every tires by buying at the selling price.

Is (2, 7) a solution to this system of equations?
x + y = 9
3x + 13y - 9

Answers

Answer:

No

Step-by-step explanation:

Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.

Choose the equation that represents the graph below:



A) Y= -2x-6

B) Y= 2/3x+6

C) Y= -2/3x+6

D) Y= 2x+6

Answers

Answer: C

Step-by-step explanation:

The slope is

[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]

This eliminates all the options except for C.

unit rate for $112 in 8 hours

Answers

Answer:

$14 per hour could i get brainliest please?

Step-by-step explanation:

Answer:

$14 per hour

Step-by-step explanation:

112 divided by 8 is 14. So $14 per hour

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

ST = 8 m

Step-by-step explanation:

Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.

PQ corresponds to ST.

Therefore, PQ is congruent to corresponding side ST, which is 8 m

ST = 8 m

A scuba diver dove from the surface of the ocean to an elevation of -499 feet at a rate of –10.5 feet per
10
9
minute. After spending 13 minutes at that elevation, the diver ascended to an elevation of -28 feet.
10
1
The total time for the dive so far was 20 minutes. What was the rate of change in the diver's elevation
8
during the ascent? Round your answer to the nearest hundredth.

Answers

22 but u did great keep it up

pplllllllllllllllsss help 1)

Answers

I think it would be 4 I’m not sure though

What is 2+2 I’m during to know...

Answers

Answer: 4

Step-by-step explanation: Good luck! :D

Answer:

4

Step-by-step explanation:

5y - 4x = -7
2y + 4x = 14
Solve the system of equation

Answers

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

I estimated that the repairs to my car would cost $80. In fact, they cost $120. What was the percentage error?

Answers

Answer:

69%

Step-by-step explanation:

Im just doing this to get my points up. dont get mad

THIS IS MY 6TH TIME POSTING THIS HELP

A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?

Answers

Answer:

14 yards

Step-by-step explanation:

length of basketball court=

7 inches

(times by 2.8) 2.5 inches-5 yards( times by 2.8)

7 inches=14

i hope i helped:)

John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

If point C is the circumcenter, find each missing value(picture attached)

Answers

Answer:

yc is 12

ct is 7

yz is 24

for rz im not sure im so sorry :(

BRAINLIEST
please leave a small explanation:)

Answers

Answer:

I say D cuz if u look at it, it's a pretty wide enough angle to be at least 47°

Answer:

your answer is c

Step-by-step explanation:

for it to be 137 degrees, the line would have to change direction to get to that angle, and same with the others, and with 43 degrees, it already gives you the measurement of  N F so you can just take that same angle and put it there as your answer.

HTH!!

Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?​

Answers

Answer:

8/15 of Jayda's vegetable garden are beefsteak tomatoes.

Step-by-step explanation:

Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:

The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.

Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.

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