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Ksenya-84 [330]
3 years ago
10

There are three exams in your linear algebra class, and you theorize that your score in each exam (out of 100) will be numerical

ly equal to the number of hours you study for that exam. The three exams count 20%, 30%, and 50%, respectively, toward the final grade. If your (modest) goal is to score 76% in the course, how many hours a, b, and c should you study for each of the three exams to minimize quantity a2 b2 c2
Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Answer:

a) 40 hours

b) 60 hours

C) 100 hours

Step-by-step explanation:

0.2a + 0.3b+0.5c = 76

Hence: 0.2* (0.2 λ) +0.3*(0.3 λ )+0.5*(0.5 λ ) = 76

0.38 λ =76

λ = 76/0.38 =200

Thus : 40, 60, 100

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13. Simplify: 6x+8/4x+4<br><br> A. x+7/8<br> B. 3x+4/2(x+1)<br> C. 5x+9/3x+8<br> D. x-10/x-6
harkovskaia [24]
I think it is A.....
6 0
3 years ago
A triangle with 7,?, and form a right triangle.
Vlad1618 [11]

9514 1404 393

Answer:

  C  24

  D  25

Step-by-step explanation:

Consider the choices offered:

  5 and 7 will not form a triangle* with any of the other lengths

  7 and 12 will not form a triangle with any of the other (longer) lengths

  7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

  7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

__

<em>Further consideration</em>

  7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

6 0
3 years ago
X^2 -3x + 0 = 0 Factor and solve
Luda [366]
So if you subtract the 0 out from the left side, the equation is now x^{2}-3x=0. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like x(x-3)=0. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
3 0
3 years ago
Read 2 more answers
Find three consecutive numbers whose sum is 84
mrs_skeptik [129]

Answer:

27 28 29

Step-by-step explanation:

Let the first be n , and if they are consecutive then the next two numbers are n+1 and n+2.

n+(n+1)+(n+2)=84.

3n+3=84.

⇒3n=81.

⇒n=27.

Hence numbers are n,n+1,n+2→27,28 and 29

3 0
1 year ago
A triangle has an angle that measures 25. The other two angles are in a ratio of 11:20. What are the measures of those two angle
frozen [14]

Answer:

The measures of the two angles are 55 and 100 degrees.

Step-by-step explanation:

The three interior angles of a triangle always add up to 180.

So if one angle is 25 degrees

180 - 25 = 155

The two other angles must add up to 155.

If the ratio is 11:20

That means there are 31 equal parts between the two angles

So 155/31 =5

Whic means

11 x 5 = 55

20 x 5 = 100

The two missing angles are 55 and 100 degrees.

Hope this explanation helped you!

5 0
2 years ago
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