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Leona [35]
3 years ago
11

Matt is making a video for the school announcements to show the students who received awards this month. the video can only be 6

0seconds long.there are 9 students who will each get to have a 5-second clip to sat their name and teacher. will Matt be able to fit all the students into a 60seco be video ?if so,how much extra time will he have left ? show your work with numbers and words.
Mathematics
1 answer:
astraxan [27]3 years ago
7 0
All the students can fit into the 60 second video and there will be 15 seconds left. 5 times 9 = 45. So, all of the students will equal a video of 45 seconds. To figure out the time left, you subtract, 60-45, which equals 15 extra seconds.
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The difference between the roots of the quadratic equation x^2−12x+q=0 is 2. Find q.
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Answer:

  • The required value of q is 35.

Step-by-step explanation:

Let α and β are the zeros of quadratic equation, x^2−12x+q=0.

  • It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.

Equation : α - β = 2

Equation : α + β = 12

Equation : αβ = q

We have to create an algebraic expression.

(a+b)² = (a-b)² + 4ab

(12)² = (2)² + 4q

144 = 4 + 4q

144 - 4 =4q

140=4q

q = 140/4

q = 35

Therefore, the required value of q is 35.

<u>Some information about zeroes of quadratic equation. </u>

  • Sum of zeroes = -b/a
  • Product of Zeroes = c/a
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