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2 years ago

What is f(-2) of the function given below? * f(x) = 3x2 - 4x + 1

Mathematics

1 answer:

slava [35]2 years ago

5 0

Answer:

f(-2) = 21

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 1

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = 3(-2)² - 4(-2) + 1

f(-2) = 3(4) + 8 + 1

f(-2) = 12 + 9

f(-2) = 21

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BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

3 0

1 year ago

What two numbers multiply to be 12 and add to be -11?

Rus_ich [418]

Answer:

-12 and 1

Step-by-step explanation:

If you multiply 12 by 1 you get 12, hence if you add -12 and 1 now you will get -11

6 0

3 years ago

A plumber is installing dish washers in each 15 apartments. He needs 70 cm of tubing to connect each dishwashers to the water so

ohaa [14]

70 cm x 15 apartments
1,050cm

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2 years ago

Read 2 more answers

A psychologist thinks that listening to Mozart helps people think. She gives subjects a set of puzzles and measure how many they

BigorU [14]

Answer: 0.8

Step-by-step explanation:

Let's assume that 5 puzzles were solved in 5mins. That is, 1min for each puzzle to be solved.

From our assumption, our sample size will be 5.

The probability that a subject will solve more than 1 puzzle will be number of occurrence from 2 to 5 which is 4.

This gives: 4/5 = 0.8 to one decimal place.

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3 years ago

3. Which statement below is the conclusion

Marrrta [24]

Answer:

a number hahah

Step-by-step explanation:

as i guess i think haha

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2 years ago

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