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Valentin [98]
3 years ago
11

There are 24 student's in a science class. Mr. Sato will give each pair of student's 3 magnets. So far, Mr. Sato has given 9 pai

rs of students their 3 magnets. How many more magnets does Mr. Sato need zo.that each pair of student's habe exactly 3 magnets?
Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0
Well, a pair of students means two. if there are 24 students then there are: 24/2 = 12 pairs of students.

9 pairs already got their magnets. 12 - 9 = 3 pairs still need magnets.

each pair gets 3 magnets. So he needs 3*3 = 9 more magnets
Tamiku [17]3 years ago
3 0
2 students equal a pair, 9 pairs equal 18 students, which leave 6 students left. that remains 3 pairs, which need 3 magnets each pair. (3*3=9) Mr. Sato needs 9 magnets.
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Would anyone be able to help me with this?
raketka [301]

This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.

<h3>How to solve for the maximum of the graph</h3>

We have ( x-2²) (x-4)

x-2²) = 0, or x - 4

x - 2 = 0, x = 2

Hence we can see that the graph has its minimum at x = 4

b. The graph here does not have a local maximum

<h3>c. Next we have to find the point of inflection</h3>

To do this you have to differentiate the equation

Use the product rule of differentiation in order to solve for the solution.

(x-2)²[ (x-4) 2 (x-2)]

This would then give us

x -2, 3x -10

In both equations we have to make x the subject of the equation

X = 2, x = 10/3

Hence the point of inflection is 2 and 10/3

Read more on minimum and maximum points here:

brainly.com/question/12120831

#SPJ1

3 0
1 year ago
2. Given HS has endpoints H(5, -9) and S(-10, 11), find the coordinates of P so that P partitions HS in a ratio 2:3.
Paraphin [41]

Answer:

The coordinates of point P are (-1, -1)

Step-by-step explanation:

The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are

  • x = \frac{mx2+nx1}{m+n}
  • y = \frac{my2+ny1}{m+n}

∵ P partitions segment HS in a ratio 2: 3

∴ P = (x, y)

∴ m = 2 and n = 3

∵ H = (5, -9) and S = (-10, 11)

∴ x1 = 5 and x2 = -10

∴ y1 = -9 and y2 = 11

→ Substitute them in the rule above to find x and y

∵ x = \frac{2(-10)+3(5)}{2+3} = \frac{-20+15}{5} = \frac{-5}{5}

∴ x = -1

∵ y = \frac{2(11)+3(-9)}{2+3} = \frac{22-27}{5} = \frac{-5}{5}

∴ y = -1

∴ The coordinates of point P are (-1, -1).

3 0
3 years ago
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