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Murrr4er [49]
2 years ago
11

1.8.3 practice - functions11. Find f(2) and f(a+h) when f(x) = 3x^2 + 2x + 4.​

Mathematics
1 answer:
drek231 [11]2 years ago
3 0
The answer is f(2) = 20

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Hi. I need help with these questions.<br>See image for question.<br>​
Oduvanchick [21]

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

8 0
2 years ago
Read 2 more answers
Solve 6n + 10 &lt; 4n + 16
BartSMP [9]

Answer:

n < 3

Step-by-step explanation:

6n + 10 < 4n + 16

( Minus 4n from both sides to isolate + 16 )

2n + 10 < 16

( Minus 10 from both sides to isolate 2n )

2n < 6

( Divide both sides by 2 to isolate n )

n < 3

3 0
3 years ago
Read 2 more answers
A club with 76 members is planning a camping trip They need to rent cabins and tents for sleeping.
amid [387]
First divide 76 by 8 since 8 people can fit in the cabin. That leaves 4 more people for tents. It will take 2 tents for the 4 people.

8 0
3 years ago
Radwyn Horticulture is a company which focuses upon selling saplings. The company can grow a sapling for $15.45, and can sell th
SOVA2 [1]

Its A on Edge. Good Luck!

8 0
3 years ago
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Cual es la respuesta de (x10+10y12) al cuadrado​
padilas [110]

Answer:

\mathrm{Expand}\:\left(x^{10}+10y^{12}\right)^2:\quad x^{20}+20x^{10}y^{12}+100y^{24}

Step-by-step explanation:

\left(x^{10}+10y^{12}\right)^2

\gray{\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2}

\gray{a=x^{10},\:\:b=10y^{12}}

=\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2

\black{\mathrm{Simplify}\:\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2:}

\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2

\gray{\left(x^{10}\right)^2=x^{20}}

\gray{2x^{10}\cdot \:10y^{12}=20x^{10}y^{12}}

\gray{\left(10y^{12}\right)^2=100y^{24}}

=x^{20}+20x^{10}y^{12}+100y^{24}

6 0
2 years ago
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