MATHEMATICS HIGH SCHOOL

Where is the number 4 − 8 located on a horizontal number line?4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
8 units to the right of 4

Answers

Answer 1
Answer:

Answer:

C. 8 units to the left of 4

Step-by-step explanation:

We are asked to find the the position of 4-8 located on a horizontal number line.

We know that negative numbers are located on the left side side of number line and positive numbers are located on the right side of number line.

4 will be located to the 4 units right from zero and negative 8 will be located 8 units left from 8.

Therefore, option C is the correct choice.
Answer 2
Answer:

Answer:

8 units to the left of 4

Step-by-step explanation:

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Which of the following are the factors of 4b2 - 16?a. (2b + 4)(2b + 4) b. (2b – 2)(2b + 4) c. 4(b – 2)(b + 2) d. 2(b – 4)(b + 4)
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Which is another way to write 42+63?

Factor the expression. If the expression cannot be factored, say so.

Answers

Delta = 25 - 16 = 9 => √(Delta) = 3;
x_(1) = (-5 + 3)/4 = -1/2 and x_(2) = (-5 -3)/4 = -2;;
=> 2x^(2) + 5x + 2 = 2(x+1/2)(x+2). = (2x+1)(x+2).

Answer:

(x + 2)(2x + 1)

Step-by-step explanation:

Hello!

We can factor this expression using the grouping method.

What is the Grouping Method?

The grouping method is a way to factor quadratic expressions and is mostly likely used when given an even number of terms. I will show you how to factor by grouping shortly.

Step 1: AC and B

This equation is written in the standard form of a quadratic : ax² + bx + c

The rule of grouping is that we need to find two factors, so that when the terms ax² and c are multipliedd together, the two factors would add to bx.

Using the given problem:

  • ax² is 2x²
  • bx is 5x
  • c is 2

Multiply:

  • 2(2x²)
  • 4x²

That means that the two factors that multiply to 4x² should add to 5x. The terms that work is x and 4x.

Step 2: Expand and factor

Now we simply replace 4x and x for 5x.

  • 2x² + x + 4x + 2

Now think of these one expressions as two seperate ones.

  • (2x² + x) + (4x + 2)

Find the GCF in both parenthesis

  • x(2x + 1) + 2(2x + 1)

Simplify

  • (x + 2)(2x + 1)

Your factored equation is (x + 2)(2x + 1)

Copy and complete the table for the sequence 3n-1 Term number Term 3n-1
1
2
3.

Answers

3n-1

where n = 1 ; n = 2 ; n = 3

3(n) - 1 = 3(1) - 1 = 3 - 1 = 2
3(n) - 1 = 3(2) - 1 = 6 - 1 = 5
3(n) - 1 = 3(3) - 1 = 9 - 1 = 8

Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3?x3 − 2x2 − 3x + 6
x3 + 2x2 − 3x − 6
x3 − 3x2 − 5x + 15
x3 + 3x2 − 5x − 15

Answers

The polynomial with those roots would be: 

y = (x + √5)(x - √5)(x - 3) 
▬▬▬▬▬▬▬▬▬▬▬ multiply this out to get 
y = (x² - 5)(x - 3) 

y = x³ - 3x² - 5x +15

Answer:

The correct answer is the first one

Step-by-step explanation:

x3 − 2x2 − 3x +

Use the quadratic equation and you will get a polynomial with roots negative square root of 5, square root of 5, and 3

You 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you maintain the same speed? (Hint: When you reach home, the x-value is zero.)

Answers

It will take exactly 11 hours. 495/45 = 11

Answer:

f(x)=45x

Step-by-step explanation:

if the home is 495 miles away, 11 hours would take to drive home.

f(11)=45X11=495

47 1/2 of what number is 190

Answers

47 (1)/(2) \cdot x=190\n \n (47\cdot2+1)/(2) \cdotx=190\n \n (95)/(2) \cdot x=190\ /\cdot (2)/(95) \n\nx= (190)/(1) \cdot (2)/(95)\n \nx=2\cdot2\n \nx=4
The word "of" is a substitution of the multiplicative operation, so re-writing your problem statement, we get:

47.5*x = 190

solving for x

x = 190/47.5 = 4

thus your number is 4

Anyone please help i'm very lost! Giving 100 points

Answers

Answer:

View Image

Step-by-step explanation:

View Image

Blue ink are equations used to solving the problems.

Answer:

litty citty

Step-by-step explanation:
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