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11111nata11111 [884]
3 years ago
14

For which system of equations is (5, 3) the solution?

Mathematics
1 answer:
skad [1K]3 years ago
8 0
What are the systems equations listed?
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What is the sum of the series 18 E n=4 (n+1) ^2? 1,239 2,415 2,440 2,469
Leto [7]

9514 1404 393

Answer:

  (c)  2440

Step-by-step explanation:

The sum of the squares of numbers 1 .. n is ...

  s(n) = n(n +1)(2n +1)/6

You want the sum of squares from 5 to 19. We can compute that from ...

  s(19) -s(4) = (19(20)(39) -4(5)(9))/6 = (14820 -180)/6 = 2440

5 0
3 years ago
Read 2 more answers
A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.
astra-53 [7]
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6

The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
6 0
3 years ago
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
likoan [24]

72 is the minimum grade he must get on the last test in order to have an average of 77.

<u>Step-by-step explanation:</u>

The grades of a student are given 72,91,78,72 and the grade of his last test is not given.

  • You have to find the minimum grade the student shall get, so that the student average must be 77.
  • The four grades are already given. Therefore, we need to find only the fifth grade.

The term average is defined as the sum of all the data in a set divided by the number of data in a set.

Here, the number of data is 5. (Because the students has 4 grades plus one grade for his last test).

The average he should get is 77.

Average = Sum of all grades / number of grades

Let, 'x' be the grade of the last test.

⇒ 77 = (72+91+78+72+x) / 5

⇒ 77 = (313+x) / 5

⇒ 385 = 313 + x

⇒ x = 385 - 313

⇒ x = 72

The minimum grade he must get on the last test is 72.

5 0
3 years ago
Please help me!! ✍ <br> Thank you!! ♛<br> Answers are included! ♒
tino4ka555 [31]
THat would be A , B, C and E
4 0
3 years ago
Find the missing side length to the nearest tenth of a millimeter.
wel

Answer:

17.9

Step-by-step explanation:

3.7²+17.5²=319.94

\sqrt{319.94\\= 17.9

8 0
3 years ago
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