MATHEMATICS HIGH SCHOOL

Find the zeros of y=x²-1 from a graph.

Answers

Answer 1
Answer: y=x^2-1

0=x^2-1

0=(x+1)(x-1)

x+1=0

x=-1

x-1=0

x=1

zeros:-1,1
Answer 2
Answer: y = x² - 1

I can find the zeros from a graph, but that won't help you any, because
I'm not about to draw the graph and then post it here.

y = (x + 1) (x - 1)

y = 0 when x = +1 or x = -1.

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5. The United States Air Force has 19 women for every 81 men enlisted. what is the ratio of men to women.

Answers

Answer: 81 to 19

Step-by-step explanation:

Final answer:

The ratio of men to women in the United States Air Force is 81:19, even when simplified, suggesting that there are significantly more men than women in the force.

Explanation:

To calculate the ratio of men to women in the United States Air Force, you need the numbers of men and women, which are given in the problem as 81 men and 19 women, respectively.

Thus, the ratio of men to women is 81:19. This signifies that, for every 81 men in the force, there are 19 women. The ratio of men to women can also be simplified by dividing both numbers by their greatest common divisor (in this case, 1), giving an equivalent simplified ratio of 81:19.

Remember, when you express a ratio, it should be in the simplest form or lowest terms, similar to simplifying fractions. For example, the ratio 2:4 should be reduced to 1:2, by dividing each side by 2, the greatest common divisor.

Learn more about Ratio here:

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A soup can has a height of 4 inches and a diameter of 3 inches. Which of the following is the closest to the volume of the soup can?

Answers

12...................

(Will give Brainliest) Please HelppA pizza parlor makes 52 pizza crusts the first week of summer and 180 pizza crusts each subsequent week. A diner makes 26 pizza crusts the first week of summer and 90 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by the pizza parlor be twice the total number of pizza crusts made by the diner?

The total number of pizza crusts made by the pizza parlor will_______

Answers

Answer:

  • Every week

Step-by-step explanation:

Let the number of weeks be x, then equations

Pizza parlor

  • 52 + 180x

Diner

  • 26 +90x

In how many weeks will the total number of pizza crusts made by the pizza parlor be twice the total number of pizza crusts made by the diner?

  • 52 + 180x = 2(26 +90x)
  • 52 + 180x = 52 + 180x
  • 0 = 0

This results means that every week pizza parlor makes twice the number of by diner

Answer:

\large \boxed{\sf always \ be \ double \ than \ the \ diner}

Step-by-step explanation:

Let x  represent the no. of weeks

Pizza parlor:  180x + 52

Diner:  90x  + 26

Write the equation and solve for x

180x + 52 = 2(90x  + 26)

x  = x (TRUE)

The total number of pizza crusts made by the pizza parlor will always be double than the diner.

Two numbers have these properties.Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...​

Answers

Answer:

  • 16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

  • xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

  • 8×80 = xy
  • 8×80 = 8n×8m
  • 10 = nm

Possible option:

  • n = 2, m = 5

Then the numbers are:

  • x = 2*8= 16
  • y = 5*8 = 40

1.What is the correct reason for statement 2?Prove: 2(w + 6) + 4 = 2w + 16
Statements Reasons
1. 2(w + 6) + 4 1. Given
2. (2w + 12) + 4 2. ?
3. 2w + (12 + 4) 3. Associative Property
4. 2w + 16 4. Addition

2.What is the correct reason for statement 2?
Prove: 4 + 3x + (x ∙ 2) = 5x + 4
Statements Reasons
1. 4 + 3x + (x ∙ 2) 1. Given
2. 4 + 3x + 2x 2. ?
3. 4 + 5x 3. Addition
4. 5x + 4 4. Commutative Property


3.What is the correct reason for statement 3?
Prove: (11m) ∙ 4 + m = 45m
Statements Reasons
1. (11m) ∙ 4 + m 1. Given
2. 4 ∙ (11m) + m 2. Commutative Property
3. (4 ∙ 11) ∙ m + m 3. ?
4. 44m + m 4. Commutative Property
5. 45m 5. Addition

4.What is the correct reason for statement 5?
Prove: k + 4 + 6(1 + k) = 11k + 10
Statements Reasons
1. k + 4 + 6(1 + k) 1. Given
2. k + 4 + (6+ 6k) 2. Distributive Property
3. k + (4 + 6) + 6k 3. Associative Property
4. k + 10 + 6k 4. Addition
5. k + 6k + 10 5. ?
6. 7k + 10 6. Addition

5.Select the correct reasons for statements 1 and 3 to complete the proof.
Prove: 3x + 2 • x • 11 = 25x.
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication
3. 3x + 2 • x • 11 = 25x 3. ?

Answers

1. The reason for statement 2 is
Distributive Property

2. The reason for statement 2 is
Commutative Property

3. The reason for statement 3 is
Associative Property

4. The reason for statement 5 is
Commutative Property

5. The reason for statement 1 is
Associative Property
The reason for statement 3 is
Addition

State the correct reason for each statement

  • 2(w + 6) + 4 = 2w + 16

1. 2(w + 6) + 4

2. (2w + 12) + 4

3. 2w + (12 + 4)

4. 2w + 16

Statements Reasons:

1. Given

2. distributive property

3. Associative Property

4. Addition

  • 4 + 3x + (x ∙ 2) = 5x + 4

1. 4 + 3x + (x ∙ 2).

2. 4 + 3x + 2x

3. 4 + 5x

4. 5x + 4

Statements Reasons:

1. Given

2. cummulative property

3. Addition

4. Commutative Property

  • (11m) ∙ 4 + m = 45m

1. (11m) ∙ 4 + m

2. 4 ∙ (11m) + m

3. (4 ∙ 11) ∙ m + m

4. 44m + m.

5. 45m

Statements Reasons:

1. Given

2. Commutative Property

3. associative

4. Commutative Property

5. Addition

  • k + 4 + 6(1 + k) = 11k + 10

1. k + 4 + 6(1 + k)

2. k + 4 + (6+ 6k)

3. k + (4 + 6) + 6k

4. k + 10 + 6k

5. k + 6k + 10

6. 7k + 10

Statements Reasons:

1. Given

Given 2. Distributive Property

Given 2. Distributive Property 3. Associative Property

Given 2. Distributive Property 3. Associative Property 4. Addition

Given 2. Distributive Property 3. Associative Property 4. Addition 5. cumulative

6. Addition

  • 3x + 2 • x • 11 = 25x.

1. 3x + 2 • x • 11 = 3x + 2 • 11 • x

2. 3x + 2 • x • 11 = 3x + 22x

3. 3x + 2 • x • 11 = 25x

Reasons:

1. associative

1. associative2. Multiplication

1. associative2. Multiplication 3. addition

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Selena can make 5 pancakes in 12 minutes. which equation can be used to find m the number of minutes needed to make 20 pancakes

Answers

I hope this helps you
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