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grin007 [14]
3 years ago
5

Look at the function below. f(x)=−x2−2x+8

Mathematics
1 answer:
enyata [817]3 years ago
7 0

Answer:

f(x) = -1(x+1)² + 9

Step-by-step explanation:

f(x) = -x² - 2x + 8

This is a down-opening parabola. Put the equation into vertex form. The y-coordinate of the vertex is the maximum.

factor out the leading coefficient

f(x) = -1(x²+2x) + 8

Complete the square

 coefficient of x term: 2

 divide in half: 1

 square it: 1²

 use 1² to complete the square:

f(x) = -1(x²+2x+1²) + 1² + 8

f(x) = -1(x+1)² + 9

vertex (-1,9)

maximum value of f(x) = 9

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A car costs £5000 when new. Each year the value decreases by 20%. Person A said that the car would be worth nothing in 5 years.
den301095 [7]

Answer:

£1638.40

Step-by-step explanation:

Step one:

Given data

A car costs £5000 when new

Each year the value decreases by 20%.

Step two:

let us compute the worth in the next 5 years

year 1

worth= 5000- 0.2*5000

worth= 5000-1000

worth=  £4000

year 2

worth= 4000- 0.2*4000

worth= 4000-800

worth=  £3200

year 3

worth= 3200- 0.2*3200

worth= 3200-640

worth=  £2560

year 4

worth= 2560- 0.2*2560

worth= 2560-512

worth=  £2048

year 5

worth= 2048- 0.2*2048

worth= 2048-409.6

worth=  £1638.40

The person is wrong because after 5 years the car is worth  £1638.40

4 0
3 years ago
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Step-by-step explanation:

4 0
3 years ago
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BabaBlast [244]

Steps:

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5. 6 -1= 5

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Answer: <em>(- _-)</em>

Step-by-step explanation:

6 0
3 years ago
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VLD [36.1K]
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2 years ago
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