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Nostrana [21]
3 years ago
15

Dicriminant of x² – 49 = 0

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

196

Step-by-step explanation:

The discriminant (Δ) is given by:

\Delta = b^2-4ac

Where the polynomial is in the form:

ax^2+bx+c=0

In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:

\Delta = 0^2-4(1)(-49) = -(-196) = 196

Thus, the discriminant of x² – 49 = 0 is 196.

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A) one task takes \frac{3}{40} hours

B) 1 hour robot can do \frac{40}{3} tasks.

<u>Solution:</u>

Given, A robot can complete 8 tasks in three fifths hour.  

Each task takes the same amount of time.  

We have to find the following

<em><u>A.)How long does it take the robot to complete one task</u></em>

From given information,

8 tasks ⇒ 3/5 hour

Then, 1 task ⇒ “n” hours

So, by chris cross method,

\begin{array}{l}{n \times 8=1 \times \frac{3}{5}} \\\\ {\rightarrow 8 n=\frac{3}{5}} \\\\ {\rightarrow n=\frac{3}{5 \times 8}} \\\\ {\rightarrow n=\frac{3}{40} \text { hours }}\end{array}

So, one task takes \frac{3}{40} hours.

<em><u>B.)How many tasks can the robot complete in one hour</u></em>

\text { number of tasks done in } 1 \text { hour }=\frac{1 \text { hour }}{\text { time taken by } 1 \text { task }}=\frac{1}{\frac{3}{40}}=\frac{40}{3}

So, in 1 hour robot can do in \frac{40}{3} tasks.

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