Consider the function f(x) =2x+3 Find the average rate of change from the following points x=2 and x= 6

Answer:

d = [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.

[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]

Thus, d = [tex]\frac{11}{12}[/tex].

Answer:

7/6

Step-by-step explanation:

U just need to multiply 7 x 1/6 = 7/6 = 1.16

Answer:

(6, -3)

Step-by-step explanation:

Answer:

-3/7

Step-by-step explanation:

find two lattice points

the ones I found are (-3, 3) and (4, 0)

use the slope formula

(0-3)/(4-(-3)) = -3/7

Answer:

-7 (3a - 5)

Step-by-step explanation:

Answer:

[tex] - 7(3a - 5)[/tex]

Step-by-step explanation:

you just have to factor out the common term 7.

Answer:

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

The probability of getting both balss green without replacement is 0.27778

Step-by-step explanation:

If the balls are not replaced then this is the dependent event .

The probability of getting the first ball is given be = 5/9

where 5 is the number of green balls and 9 is the total number of balls.

The probability of getting the second ball green given that first is also green is  = 5/9* 4/8= 20/72= 0.2778

If Y represents the number of green balls then it can have values from 0- 5

that is it can have all the value  0,1,2,3,4 and 5.

0 means there can be no green balls or white balls.

1 means there can be one green ball.

2 means there can be 2 green balls and so on.

In this exercise we have to use the knowledge of probability to calculate the chance of an event to occur, so you have to:

the chance of the event is 0.2778%

So organizing the information given in the statement is:

So with this information we can write that:

[tex]5/9* 4/8= 20/72= 0.2778[/tex]

See more about probability at brainly.com/question/795909

Answer:

550 miles per hour

Step-by-step explanation:

Answer:

All numbers are solutions. You can try this yourself by inserting numbers in.

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards

Answer:

I think 4 i don't know I tried

Answer:

X = -1/10

Step-by-step explanation:

[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]

Answer:

700 feet per hour is the rate of descent

Step-by-step explanation:

3 hours is 2100 so 2100/3 is 700 which is per hour

Answer:

(2x+3)(x+1)

Step-by-step explanation:

6x² + 2x + 9x +3

(6x² + 2x) + (9x +3)

2x (x+1) + 3 (x+1)

(2x+3)(x+1)

Answer:

(3x+1) ( 2x+3)

Step-by-step explanation:

6x² + 2x + 9x +3

Make the groups

6x² + 2x     +   9x +3

Factor 2x out of the first group  and 3 out of the second group

2x( 3x+1)   + 3(3 x+1)

Now factor out the common term inside the parentheses

(3x+1) ( 2x+3)

Answer: 7m - 40

Step-by-step explanation:

Monday = m

Tuesday = m + 15

Wednesday = m + 15 + 30 = m + 45

Thursday = 2 × m = 2m

Friday = 2m - 20

The expression will now be:

= m + m + 15 + m + 45 + 2m + 2m - 20

= 7m- 40

Answer: x² + 2xy + y² = 9

x² + 2xy + y² = (x + y)²

with x = 2 + 3i and y = [tex]\frac{3+i}{i}[/tex], we have:

[tex](x + y)^{2}=(2+3i+\frac{3+i}{i})^{2}\\\\=(\frac{2i+3i^{2}+3+i }{i})^{2}\\\\=(\frac{3i-3+3}{i})^{2} \\\\=(\frac{3i}{i})^{2}\\\\=3^{2}=9[/tex]

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

if DB equal to 6 then look down at CE, it has the same distance as D to B so CE equal to 6.

9514 1404 393

Answer:

  CE = 10

Step-by-step explanation:

Assuming BC is parallel to DE, that segment divides the sides proportionally.

  CE/CA = BD/BA

  CE/25 = 6/15

  CE = 25(6/15) . . . . multiply by 25

  CE = 10

Step-by-step explanation:

11/4 then reduce

2 3/4

because 11/4 is just like saying 11 divided by 4

Answer:

2.75

Step-by-step explanation:

Make a division plane

The area of the bake sale sign is 6 ft²

Area is the amount of space occupied by a two dimensional object.

Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

The area of a rectangle = length * breadth

The area of the bake sale sign = length * breadth = [tex]\sqrt{4} *\sqrt[6]{729} = 6\ ft^2[/tex]

Find out more on Area at: https://brainly.com/question/25689052

Answer: 47

Step-by-step explanation:

simply substitute the constants with 5 and 3.

(5)^2 + 9(3) - 5 = 47

Answer:

Monday:

Cups of Sugar: 3

Tablespoon of Butter: 30

No. of Bananas: 75

Wednesday

Cups of Sugar: 1.12

Tablespoons of Butter: 11.2

No. of Bananas: 28

Answer:

2.74747741945462

Step-by-step explanation:

i know its long but i think it is correct!:)

Answer:

B.) 192 km

Step-by-step explanation:

Since 8km is for 1 centimeter, we multiply 8 by 24 to find how many kilometers there are for 24 centimeters. 8 * 24 is 192 so B.) is your answer.

Answer:

0.9222222222222222/1

Step-by-step explanation:

Answer:

12 feets below sea level

Step-by-step explanation:

Initial height = 25 feets above sea levwl

Total descent = 37 feets

Distance traveled below sea level = 37 feets - 25 feets = 12 feets

Hence, Sarah traveled 12 feets below sea level

Answer:

[tex]\displaystyle x \approx 37.4^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Answer:

12

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

12

Hope this helped you!

Answer:

x=9

Step-by-step explanation:

Step-by-step explanation:

133=7+14x

133-7=14x

14x=133-4

14x=129

14x=129

14 14

x=129

14