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Artist 52 [7]
3 years ago
11

Subtract 5y ^ 2 - 6y - 11 from 6y ^ 2 + 2y + 5 .

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

Step-by-step explanation:

(6 {y}^{2}  + 2y + 5) - (5 {y}^{2}    -   6y - 11) \\  = 6 {y}^{2}  + 2y + 5 - 5 {y}^{2}   + 6y  +  11 \\  = 6  {y}^{2}  - 5 {y}^{2}  + 2y + 6y + 5 + 11 \\  =  {y}^{2}  + 8y + 16

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FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Please answer quickly! will give brainliest!
Y_Kistochka [10]

Answer:

12 cows and 5 chickens

8 0
2 years ago
X²=169 extracting square root​
ryzh [129]

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± \sqrt{169} = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

7 0
3 years ago
How many different 5-person subcommittees can be formed from a club having 12 members
Wittaler [7]
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
3 0
2 years ago
How many solutions exist for the given equation?<br> 3(x - 2) = 22 -x
alexgriva [62]
There is only one solution because it is a linear equation.
3x - 6 = 22 - x
3x + x = 22 + 6
4x = 28
X = 7
7 0
2 years ago
Read 2 more answers
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