We need to find the remainder- the sticker left over
Divide 23 stickers into 4 piles = 23/4= 5 stickers per pile and 3 stickers left over
D. She would have 3 stickers left over
Hello,
g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)
Explainations:
f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)
The answer is n>2. ......
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
Answer:
It was 4 years.
Step-by-step explanation:
To solve this problem we need to use the appropriate formula for simple interest, which is shown below:
M = C*r*t
Where M is the amount of interest, C is the initial amount of money, r is the rate of interest and t is the time elapsed in years. Applying the data from the problem we have:
840 =7000*0.03*t
840 = 210*t
210*t = 840
t = 840/210
t = 4
It was 4 years.
