Find the value of x

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

Answer:

A. Mountains and water divided the land.

Step-by-step explanation:

Answer:

467

Step-by-step explanation:

Determine the percentage of those sampled whose favourite season is fall

(18/70) x 100 = 25.7%

the sample is representative of the population of students. So, 25.7% of the students would like fall

number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students

rounding off to the nearest whole number gives 467

Answer:

467

Step-by-step explanation:

Answer:

In statistics, the three most common measures of central tendency are the mean, median, and mode. Each of these measures calculates the location of the central point using a different method.

Answer:

Step-by-step explanation:

CAN YOU CHOOSE ME BRAİNLİEST PLS?

Answer:

729 square yards

Step-by-step explanation:

Area = l x w

Area = 27 x 27

Area = 729 square yards

Hope that helps! :)

-Aphrodite

Answer:

It’s 729

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

why not

Answer:

5x4x9=180  then 4 divided by 2 is 2 then 2x180 you get the answer

Step-by-step explanation:

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

Answer:

Time = period of loan

Interest amount = $15

Interest rate = 10%

Step-by-step explanation:

Given:

Charge on loan = interest = $15

Interest rate on loan = 10%

Loan period = 2 weeks

The interest formula is given by the relation :

Interest = Principal * rate * time

Using the interest equation given :

The known variables Given in the question are :

Time = period of loan

Interest amount = $15

Interest rate = 10%

Answer: 1¼ pounds

Step-by-step explanation:

Since 20 pounds of beans are distributed equally into 16 bags to give out at the food bank, the amount of pounds of beans that are in each bag will be gotten by dividing 20 by 16 which will be:

= 20 pounds / 16

= 1¼ pounds

Therefore, there are 1¼ pounds of beans in each bag.

Answer:

5 hours

Step-by-step explanation:

2×2+1=5 and this is because 2×2=4 and 4+1=5

Answer:

Rectangle 11.59 sqft

Rectangle 36 sqft

Polygon 47.59 sqft

Step-by-step explanation:

Answer:

35 multiplied by 12

Step-by-step explanation:

Because either you multiply it or you do sohcahtoa

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

Answer:

bvcnfghnh

Step-by-step explanation:

gfhtfv

Answer:

2100

Step-by-step explanation:

60%=0.6

35%=0.35

0.6*0.35=0.21

0.21*10000=2100

Answer:

$3.56

Step-by-step explanation:

mark me brainlest please

Answer:

3.56

Step-by-step explanation:

First you wanna add the prices of all the food so its

Two Eggs= 3.38

Slice of Bacon= 1.49

Orange Juice= 1.09

Add All then you get 5.96 and add sales tax so you get 6.44

The Subtract 10.00 - 6.44 = A/3.56

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

Answer:

get a ruler and meshure out 72 millimeters.

Step-by-step explanation:

did exam

Here is the complete question.

Members of the Alachua district choir were asked when given the choice between romanticism gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contingency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.

Romanticism Gothic Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer:

The answer is below

Step-by-step explanation:

Part A:

Romanticism, Gothic, Total

Males 48, 63, 111

Females 59, 62, 121

Total 107, 125, 232

Part B: The preferred style is Gothic by a percentage of

P = 125 ÷ 232

Hence, we have P = 54%

Part C: Based on the table provided, the subject aspired the most by males was Gothic since 63 males chose it over 48 chose Romanticism.

Part D: The frequency 125/232 depicts the total of people that preferred Gothic over the total of people in both categories.

Answer:

I Believe it's D

Step-by-step explanation:

Answer:

a) hundreds

b) tens

c) hundreds

d) hundreds

Answer:

This is easy!!

Step-by-step explanation:

1. hundreds

2. tens

3. hundreds

4. hundreds

Hope this Helps!!

Answer:

4

Step-by-step explanation:

2 ÷ 1/2 = 4

Answer:

solution in attachment

hope it helps