MATHEMATICS MIDDLE SCHOOL

Please help me asap i have other questions you can answer toosolutions to:
(3x+5)^2+5(3x+5)+6=0

Answers

Answer 1

Answer:

Answer:

x = -8/3 = -2.667

x = -7/3 = -2.333

Step-by-step explanation:

Equation at the end of step 1 :

(((3x + 5)2) + 5 • (3x + 5)) + 6 = 0

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 9x2+45x+56

The first term is, 9x2 its coefficient is 9 .

The middle term is, +45x its coefficient is 45 .

The last term, "the constant", is +56

Step-1 : Multiply the coefficient of the first term by the constant 9 • 56 = 504

Step-2 : Find two factors of 504 whose sum equals the coefficient of the middle term, which is 45 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 21 and 24

9x2 + 21x + 24x + 56

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (3x+7)

Add up the last 2 terms, pulling out common factors :

8 • (3x+7)

Step-5 : Add up the four terms of step 4 :

(3x+8) • (3x+7)

Which is the desired factorization

Solve : 3x+7 = 0

Subtract 7 from both sides of the equation :

3x = -7

Divide both sides of the equation by 3:

x = -7/3 = -2.333

Solving a Single Variable Equation :

3.3 Solve : 3x+8 = 0

Subtract 8 from both sides of the equation :

3x = -8

Divide both sides of the equation by 3:

x = -8/3 = -2.667

Supplement : Solving Quadratic Equation Directly

Solving 9x2+45x+56 = 0 directly

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Look at the following sequence: 729,243,81,27... What is the next term?

Answers

next term is 9. Look:
729 x (1/3) = 243
243 x (1/3) = 81
81 x (1/3) = 27
27 x 1/3) = 9

It is nine because you times it by a third of the previous number

shanes neighbor pledged 1.25 for every 0.5 miles that shane swims in the charity swim-a-thon.if Shane swims 3 miles,how much money will his neighbor donate?

Answers

3/0.5 = 6
6 x 1.25 = 7.50

$1.25/0.5 miles
$2.50/1 mile

2.50 x 3= 7.50

The neighbor will donate $7.50

Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Arts holiday fruit punch?

Answers

The Apple juice is in one serving of Arts holiday fruit punch 0.1 cups .

Given:

Rachel used apple juice is 4.5 cups

served for 12 people

⇒ 4.5÷12

⇒ 0.375

Art used apple juice is 4.75cups

served for10 people

⇒ 4.75 ÷10

⇒ 0.475

The apple juice is in one serving of Arts holiday fruit punch is

⇒ 0.475 - 0.375

⇒ 0.1

What is fruit punch?

Punch made from fruit juices mixed with water or soda water (with or without alcohol) type punch an ice-cold drink that usually contains alcohol and is made into several servings usually served in a bowl.

The term punch refers to a wide variety of both non-alcoholic and alcoholic beverages, usually containing fruit or fruit juice. Employees of the British East India Company brought the drink from the Indian subcontinent to England in the late 17th century. The Fruit Punch recipe lives up to its name it's sweet, fruity and sure to appeal to kids and adults alike.

To learn more about fruit punch, refer;

brainly.com/question/28658426

#SPJ2

The picture will explain it all...

You have 4/6 cup of flower in your cupboard. A recipe for bread calls for 1/4 cup of flour. How much flour would you have left if you made the bread? what is the answer in simplest terms?

Answers

3/2 I'm pretty sure idk if I'm right though but you'll do good!

A pan of lasagna cut into 100 servings is equally shared among a group of people. For Exercises53 – 55, determine the portion of the pan that each person receives given the number of people in
each group. Write your answer as both a fractional and a decimal part of a pan.
53. 20 people 54. 40 people 55. 30 people

Answers

53). 100 servings / 20 people = (100/20) (svngs/ppl)

   = 5 servings per person.

   Each person gets 1/20 = 5% = 0.05 of the pan.

54). 100 servings / 40 people = (100/40) (svngs/ppl)

   = 2.5 servings per person.

   Each person gets 1/40 = 2.5% = 0.025 of the pan.

55). 100 servings / 30 people = (100/30) (svngs/ppl)

      = (3 and 1/3) servings per person.

   Each person gets 1/30 = (3 and 1/3) % = 0.0333... of the pan.

Use properties to find the sum or product of 6x 107