MATHEMATICS HIGH SCHOOL

A man walks (12x^2+11x+2) km for (3x+2) hours. What is his speed per hour?

Answers

Answer 1

Answer:

Step-by-step explanation:

Hey there!

Distance = 12x^2+11x+2.

And Time = 3x+2 hours.

Now;

$speed = (distance)/(time)$

Putallvalues.

$s = \frac{12 {x}^(2) + 11x + 2}{3x + 2}$

Usemidtermfactorizationisnumeratorandsimplifythemtogetanswer.

$s = \frac{12 {x}^(2) + (8 + 3) x+2 }{3x + 2}$

$s = \frac{12 {x}^(2) + 8x + 3x + 2 }{3x + 2}$

$s = (4x(3x + 2) + 1(3x + 2))/((3x + 2))$

$s = ((4x + 1)(3x + 2))/((3x + 2))$

$s = (4x + 1)$

Therefore thespeedis(4x+1)/hr.

Hopeit helps..

Related Questions

4⁄8 + ¼ = ? What is the correct answer to this problem? a. 1 b. ⅝ c. ¾ d. 2⁄8
Find the coordinates of the midpoint between (–1, 2) and (3, –6).A)(-2, 1)B)(-1, 2)C)(-1, -2)D)(1, -2)E)(2, -1)
Hihi , please help if able.
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished. Housing $612 Food $238 Transportation $370 What is the problem with this budget? Select the best answer from the choices provided. She is budgeting too much for transportation. She has used the highest recommended percentages for the three categories. She has allotted more than 36% of her income for housing. She is budgeting too little for transportation.
The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall height, l is room length, and b is room breadth. The area of doors and windows are ignored.Question - Using the formula find the wall area if the room length is 8m, breadth is 6m and height is 2.5 m. Sorry but I have NO clue :(

What value is equivalent to 13 − 2(1 − 15) ÷ 4?A) -38.5
B) -26
C) 7.25
D) 20

Answers

Answer:

D 20

Step-by-step explanation:

13 − 2(1 − 15) ÷ 4

PEMDAS says parentheses first

13 − 2(-14) ÷ 4

Then multiply and divide from left to right

13 +28 ÷4

13+7

Then add and subtract

Answer:

D. 20

Step-by-step explanation:

Follow PEMDAS

- Hope that helps! Please let me know if you need further explanation.

In an examination it is required to get 40% of the aggregate marks to pass. A student gets 261 marks and is declared failed by 4% marks. What are the maximum aggregate makrs a student can get?

Answers

The solution to the problem is as follows:

→x− 4% (x) = 261

→x − 4x/100 = 261

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

A bouquet of flowers contains 46 flowers and half of them are roses.How many of the flowers are not roses

Answers

Answer:

Step-by-step explanation:

46 divided by 2

equals:23

Molly is filling a pitcher that holds 2 gallons of water. She is filling the pitcher with a 1-cup measuring cup. How many times will she have to fill the cup 1-cup measuring cup to fill the pitcher

Answers

Answer:

32 times

Step-by-step explanation:

Molly is filling a pitcher that holds 2 gallons of water.

1 gallon = 16 cups

So, 2 gallons = $16* 2=32 cups$

So, it requires 32 cups to fill the pitcher.

Since we are given that She is filling the pitcher with a 1-cup measuring cup.

So, no. of times she will have to fill the cup 1-cup measuring cup to fill the pitcher = $(32)/(1)=32$

Hence she will need to fill cup 1-cup measuring cup 32 times to fill the pitcher.

2 cups in a pint
2 pints to a quart (therefore 4 cups to a quart)
4 quarts to a gallon (therefore 16 cups to a gallon)
And finally 2 gallons to 2 gallons (therefore 32 cups to 2 gallons)

32 times

If JL =120, what are the lengths of JK and KL

Answers

The length of JK is 42 and the length of KL is 69

Calculating Length

From the question, we are to determine the length of JK and KL

From the given information,

JK = 4x + 6

KL = 7x + 15

In the diagram,

JL = JK + KL

120 = 4x + 6 + 7x + 15

120 = 11x + 21

120 - 21 = 11x

99 = 11x

x = 99/11

x = 9

∴ JK = 4x + 6 = 4(9) + 6

JK = 36 + 6

JK = 42

and

KL = 7x + 15 = 7(9) + 6

KL = 63 + 6

KL = 69

Hence, the length of JK is 42 and the length of KL is 69

Learn more on Calculating length here: brainly.com/question/26034806

#SPJ1

The line passes through the points (x1, y1) and (x2, y2). The slope of the line is: a) x2−x1y2−y1 b) y2−y1x2−x1 c) x1−x2y1−y2 d) y1−y2x1−x2

Answers

Answer:

Step-by-step explanation:

the slope m of a line passing through (x₁, y₁ ) and (x₂, y₂ ) is

m = $\frac{y_{2-y_(1) } }{x_(2)-x_(1) }$ ← slope formula

Other Questions

Help please 2y-5x=-1, x=2y+5

Which expression represents how many years are in x months?A) 12x B) 12 + x C) x12D) 12x

Simplify 8(x+3)^2/2(x+3)

in sunlight, a vertical stick 9 ft tall casts a shadow 7 ft long. at the same time a nearby tree casts a shadow 28ft long. how tall is the tree? round to the nearest tenth