Answer:
3
Step-by-step explanation:
-(-5) -2
5 - 2
3
Answer: 20%
Step-by-step explanation:
25 = 100%
25/5 = 5
100/5 = 20
That means 80% passed and 20% didnt.
Answer:
Area = 140
16 x 8.75 = 140
Step-by-step explanation:
Step-by-step explanation:
<u>Given</u>
- f(x) = 4x³ + 3x² - 2x - 1
<u>Divide it by the following:</u>
<u>(a) 2x + 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
- 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
- (2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
<u>(b) 2x - 3</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
- (2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
<u>(c) 4x - 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
- (4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
<u>(d) x + 2</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
- (x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
The width of the walkaway be 4 feet.
<h3>What is Discriminant Formula?</h3>
The discriminant formula is used to determine the nature of the roots of a quadratic equation. The discriminant of a quadratic equation
is D =
If D > 0, then the equation has two real distinct roots.
If D = 0, then the equation has only one real root.
Given that: 
also, area of walkaway = 464 square feet.
So, 
Using Discriminant method,
a=4, b=100, c=-464
w= 
w= 
So, 
Hence the width of the walkaway be 4 feet.
Learn more about discriminant formula here:
brainly.com/question/2615966
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