What is the value of x2(4 - x) + 2 when x =
3?

Answer:

20) 7/16 = 0.4375

21) 1/6 = 1.6 repeating

22) 2 4/5 = 2.8

23) 98 2/3 = 98.6 repeating

24) 0.8 = 4/5

25) 26 1/5

26) 72.1 repeating = 72 1/9

27) 0.505 = 101/200

Explanation:

To convert fraction into decimal, divide the numerator by the denominator and that's your answer. For example:

7 ÷ 16 = 0.4375.

To convert a decimal into a fraction, place the number after the decimal point over the number place it's in. For example: If you look at 0.8 , 8 is in the tenths place, so you place it over 10 like this 8/10, and then you simplify. Half of 8 is 4 , and half of 10 is 5, so you'd have 4/5.

For #27, since 505 in 0.505 , is in the thousandths place, you'd put it over 1,000 like this 505/1000 and then you simplify. Look at image above to learn how to simplify 505/1000.⤴⤴⤴

Step-by-step explanation:

given,

points = (7,0) & (3,6)

we know,

slope = y_2 - y_1 / x_2 - x_1

now,

→ 6 - 0/3-7

→ 6/-4

→ -1.5 or 3/-2

therefore , slope of line is -1.5 OR In the form of fraction it is 3/-2.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

50 (mph)    = rate of passenger train

Step-by-step explanation:

Let the rate of  the freight train  =   R

Let the rate of the  passenger train  be R +  30

The freight train  has  been  traveling for 2 + 3   =  5 hours

And the passenger train has  been traveling for  3 hours

And they  have traveled the same distance   when  the passenger  train  overtakes the freight train

So    using rate * time  = distance we have that

R(5)  = (R + 20) 3      simplify

5R  =  3R  +  60     subtract 3R from  both sides

2R  = 60           divide  both sides  by  2

R = 30   (mph)  = rate of freight train

R +  20  =  50 (mph)    = rate of passenger train

Answer:

1. is 283.9953

Step-by-step explanation:

360 degrees - 76.0047 degrees is 283.9953

Answer:

66?

Step-by-step explanation:

180 degrees in a triangle, add 79 and 35 together = 114

180 - 114 = 66

Answer:

66°

Step-by-step explanation:

All angles in a triangle add up to 180° . Therefore you will need to add up 79° and 35° then subtract it from 180° in order to find the missing angle x.

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e - 11

Subtract 7e from both side

2e - 7 = -11

Add 7 to both sides

2e = -4

Divide by 2 to isolate e

e = - 2

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e -11

9e - 7e - 7 = -11

9e - 7e = -11 + 7

2e = -4

e = -2

Feel free to mark this as brainliest! :D

P = 2((10 + x) + x)

The perimeter of a rectangle is the sum of the length and width multiplied by 2

P = 2(l + w)

[to simplify the expression]

P = 2 × (l + w)

[using x to represent the width]

w = x

l = x + 10

P = 2 × ((10 + x) + x)

P = 2((10 + x) + x)

Answer:

I need you hahaah

Step-by-step explanation:

Answer:

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graph b matches the equation

Answer:

Step-by-step explanation:

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

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Answer:

17-2x=-11 ---> 14

Step-by-step explanation:

plug in the "answers"

17-2(14)=-11

The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground

The number of bookshelves that fit into alcove, is 8 bookshelves

Reason:

Height of the alcove = 2.5 m

Height of the books = 210 mm = 0.21 m

The gap above each book = 30 mm = 0.03 m

The thickness of the shelves = 20 mm = 0.02 m

Width of the alcove = 1.2 m

Height of the bottom shelf above the ground = 300 mm = 0.3 m

Required:

The number of shelves that can be fitted into the alcove

Solution;

Let x, represent the number of shelves that can be fitted into the alcove

We have;

An initial height of the bookshelves above the ground = 0.3 m

Height of a shelve, H = Height of books + Gap above books + Thickness of shelves

Height above ground, including the bottom shelve = 0.3 m

Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ 8 bookshelves

Learn more here:

https://brainly.com/question/23945932

Answer:

x=25

Step-by-step explanation:

5x + 4 = 8x-71

-5x = -5x

4 = 3x-71

+71 = +71

75 = 3x

75/3 = 3x/3

25 = x

Answer:

a) 3 : 4

b) 4 : 3

c) 7 : 3

d) 4 : 7

Step-by-step explanation:

(just a side note: you can write ratios in fraction form as well!)

To find the ratio between boys to girls, we would write it like this:

180/240 or  180 : 240 or  180 to 240

Although that is right, that isn't simplified.

Thus, we need to find a common factor that both the numerator and denominator share!

180 and 240 are both divisible by 60!

  180 ÷ 60 = 3

  240 ÷ 60 = 4

Therefore, you would get a simplified ratio of 3 : 4! For every 3 boys. there are 4 girls!

For part b, you simply switch the 4 and 3 around so you get 4 : 3. For every 4 girls, there are 3 boys.

Now part c involves the total amount of students...

Basically, add the number of boys and the number of girls together, and you would get 420.

    420 : 120 shows the amount of students there are to boys...but it is not in its simplest form!!

Like we did before, we have to find a common factor between the two...which is 60!

 420 ÷ 60 = 7

 120 ÷ 60 = 3

Thus, there are 7 students for every 3 boys (7 : 3)

Finally, part d! Simply the ratio:

   420 : 240

Divide both by 60 and...

You get 4 :7! For every 4 girls, there are 7 students

Hope this helps! Let me know if you have any other questions :D

Answer:

(a) 3:4

(b) 4:3

(c) 7:3

(d) 4:7

Step-by-step explanation:

(a) 3:4

180:240 = 3:4 (after simplification)

(b) 4:3

240:180 = 4:3 (after simplification)

(c) 7:3

Total number of students = 240 + 180 = 420

420:180 = 7:3 (after simplification)

(d) 4:7

Total number of students = 240 + 180 = 420

240: 420 = 4:7  (after simplification)

Answer:

79 because x = 7 so 12 x7 - 5 =79

Answer: if this is distribution it would be 3x-18

Step-by-step explanation:

Answer:

hello I would like to help you but you don't give us the question? how do you expect people to help you if you don't actually give the question

Answer:

y = 6x + 3

Step-by-step explanation:

6x - y = 1

6x -1 = y

Slope = 6

Point (-1,-3)

y-intercept = -3 - (6)(-1)

= -3 + 6 = 3

y = 6x + 3

Answer:

y = 12/11x + 13

Step-by-step explanation:

Slope: (-23-37) / (-33-22) = -60/-55 = 12/11

b = 37 - (12/11)(22) = 13

Answer:

[tex]12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 12 \times 4 \div 3 = 4 \times 4 = 16 \\ 16 \times 5 = 80 \: ft \: [/tex]

first you must know how many 3/4 do you have

because of scale

and after that multiply to 5 to get actual length

Answer:

(2,-5)

(-6,-7)

(-7,-4)

these are the coordinates after the transformation

The three inside angles need to equal 170 when added together.

When two sides are the same which is shown by the little lines through the sides the two bottom angles are the same.

1. X = 170-80-80 = 20

2. X = 180-75-75 = 30

3. X = 180-70 = 110/2 = 55

Step-by-step explanation:

1) x+80°+80°=180°

x=180°-160°

x=20°.

2) as it is a isosceles triangle, y =75°.

x+75°+75°=180°

x=180°-150°

x=30°.

3) 2x+70°=180°

2x=110°

x=55°.

hope all these helps you.

9514 1404 393

Answer:

  h = (1 -2u² ± √(1 -4u²-12u⁴))/g

Step-by-step explanation:

This is a quadratic in h, so there are two solutions.

Written in standard form, the given equation is ...

  (-g/2)h² +(1-2u²)h -8u⁴/g = 0

The quadratic formula tells you the solution for h is ...

  h = (-(1 -2u²) ±√((1 -2u²) -4(-g/2)(-8u⁴/g)))/(2(-g/2))

  h = (2u² -1 ± √(4u⁴ -4u² +1 -16u⁴))/-g . . . . . simplify

  h = (1 -2u² ± √(1 -4u²-12u⁴))/g . . . . . . . . collect terms

Answer:

b = 12

Step-by-step explanation:

7b = 84

We can break down 7b as 7 x b

7 x b = 84

We divide both sides by 7:

7 x b ÷ 7 = 84 ÷ 7

b = 12

-Chetan K

Answer:

b = [tex]\sqrt{333}[/tex]

Step-by-step explanation:

1. We can use the Pythagorean Theorem to find the missing side, b.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 196 from both sides.

Step 3: Take square root of both sides.

Step 4: Check if solution is correct.

Therefore, b = [tex]\sqrt{333}[/tex].

Answer:

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^2\\14^2 + b^2 = 23^2\\\\196 + b^2 = 529\\\\b^2 = 333\\b = 18.2482875909[/tex]

Answer:7

Step-by-step explanation:

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