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Iteru [2.4K]
3 years ago
7

Write the quadratic equation in standard form.

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

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To travel 80 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 60 miles riding a bicycle. Su
andriy [413]

Answer:

Time taken by Doreen is 6 hours and speed is 10 miles per hour.

Time taken by Sue is 4 hours and speed is 20 miles per hour.

Step-by-step explanation:

Let the speed of Doreen be x

According to the question  speed of Sue   is = x+10

time  taken By Sue to cover 80 miles = \frac{80}{x+10}

time taken by Doreen to travel 60 miles = \frac{60}{x}

According to question Sue take two hours less than Doreen takes

therefore

\frac{60}{x} - \frac{80}{x+10} =2

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simplifying it ,we get

2x^2+40x-600=0\\

Dividing both sides by 2 ,we get

x^2+20x-300=0\\

solving it for x ,we get

(x+30)(x-10) =0

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Time taken  by Sue = 80 divided by 20 = 4 hours

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3 years ago
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