MATHEMATICS HIGH SCHOOL

Explain your answerSimplify the difference.

(4w2 - 7w - 6) - (8w2 + 2w - 3)
Choose one answer.
a. -4w2 - 9w - 3
b. 12w2 + 9w + 3
c. -4w2 - 5w - 9
d. 12w2 - 5w - 9

Answers

Answer 1
Answer: (4w^2-7w-6)-(8w^2+2w-3)\n -(a\pm b)=-1(a\pm b)\ \ \ \ |use\ a\ distributive\ property: a(b\pm c)=ab\pm ac\n\n\=4w^2-7w-6-8w^2-2w-(-3)\n\n = 4w^2-7w-6-8w^2-2w-(-3)\n\n=(4w^2-8w^2)+(-7w-2w)+(-6+3)\n\n=\boxed{-4w^2-9w-3}
Answer 2
Answer: (4w² - 7w - 6) - (8w² + 2w - 3)
(4w² - 8w²) + (-7w - 2w) + (-6 + 3)
-4w² - 9w - 3
The answer is A.

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Solve the inequalities: 3(m-5) - 6 > -36What do I do?

In what order do numbers go?

Answers

Answer:

What?

Step-by-step explanation:

Answer:

1 2 3 4 5 6 7 8 9 10

Step-by-step explanation:

yes yes yes

Briyana has $150, and she needs to save at least $560 for a spring break trip. If she can save $45 per week, how long will it take her to save enough money? Let w = weeks saving money. Write an inequality to describe the situation.

45w + 150< 560

45w + 150> 560

150w + 45< 560

150w + 45 > 560

Answers

Answer: The answer is (B)

45w + 150> 560.

Step-by-step explanation: Given that 'w' represents the number of weeks s

Briyana saves money.

Since she can save $45 per week, so the amount of money she can save in 'w' weeks is $45w.

Also, she has $150 already with her, so the total amount of money saved is given by (45w + 150).

Now, since she needs to save at least $560, so we must have

45w + 150 > 560.

Thus, (B) is the correct option.

Answer:

b

Step-by-step explanation:

How do the mouth and stomach play a role in mechanical digestion

Answers

the mouth breaks down food by chewing it and the saliva mixes it by making the carbohydrates into sugar. the stomach breaks down the food by breaking down bacteria and acids

What are the solutions of x^2 - 5x+7 = 0 ?​

Answers

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=(-b\pm√(b^2-4ac) )/(2a)

Algebra II

  • Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 5x + 7 = 0

Step 2: Identify Variables

a = 1

b = -5

c = 7

Step 3: Find solutions

  1. Substitute [Quad Formula]:                    x=(5\pm√((-5)^2-4(1)(7)) )/(2(1))
  2. Evaluate Exponents:                               x=(5\pm√(25-4(1)(7)) )/(2(1))
  3. Evaluate Multiplication:                          x=(5\pm√(25-28) )/(2)
  4. Evaluate Subtraction:                             x=(5\pm√(-3) )/(2)
  5. Factor:                                                     x=(5\pm√(-1) √(3) )/(2)
  6. Simplify:                                                  x=(5\pm i√(3) )/(2)

The solutions to the equation x² - 5x + 7 = 0  are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Option C is the correct answer.

We have,

To find the solutions of the quadraticequation x² - 5x + 7 = 0, we can use the quadraticformula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 1

b = -5

c = 7

Substituting these values into the quadraticformula,

x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))

Simplifying further:

x = (5 ± √(25 - 28)) / 2

x = (5 ± √(-3)) / 2

Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are norealsolutions to this quadratic equation.

The solutions exist in the complex number system.

So,

√-1 = i

x = (5 ± i√3) / 2

This can be written as,

x = (5 + i√3) / 2

and

x = (5 - i√3) / 2

Thus,

The solutions to the equation x² - 5x + 7 = 0  are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Learn more about solutionsofequations here:

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PLEASE HELP!!!!!!Which of the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is desired?

A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event.

B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event.

C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event.

D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

Answers

the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is:

D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

65 + 35 = 100
65/100 = 0.65

Ryan has some nickels and dimes. Altogether, he has 34 coins that total $2.60. Write the system of equations to determine how many of each coin he has.

Answers

34= n+d
2.60=.05n+.1d
To find the amount of dimes that Ryan uses, I used (2.60/0.10) to get 26 dimes, meaning that there are also 8 nickels.

So in total, you have 26 dimes and 8 nickels

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