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denis23 [38]
3 years ago
10

Write a system of linear equations for the graph below

Mathematics
1 answer:
Oliga [24]3 years ago
5 0
1q+2x-1 liner #1 liner # is 18% one
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Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
Contact [7]

Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
  • p × q = c / a = 12 / 3 = 4

{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

4 0
3 years ago
I NEED HELP ASAP PLS
xeze [42]

Answer:mot sire

Step-by-step explanation:

4 0
3 years ago
The table below shows four systems of equations:
Ede4ka [16]
To determine which system of equations would have the same solution, we evaluate each system of equations.

System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11

<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7

System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17

System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7

</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.

     4x− 5y = 2 2( 3x − 2y = 1)
-----------------------    10x - 9y = 4</span>
4 0
3 years ago
Mary's age is 10 years less than 2 times Joe's age. If the difference between their ages is 30, how old is Mary?
zheka24 [161]

Answer:

its 5

Step-by-step explanation:

cause 2 divided by 30is 15 minus 10 its 5

4 0
2 years ago
Read 2 more answers
Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each
SSSSS [86.1K]

Answer:

Pr = 0.50

Step-by-step explanation:

Given

n = 30

H = 21

T = 9

See attachment for complete question

Required

P(H)

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

S =\{H,T\} --- sample space

n(S) = 2 --- sample size

n(H) = 1 --- occurrence of Head

So, the theoretical probability is:

Pr = n(H)/n(S)

Pr = 1/2

Pr = 0.50

8 0
3 years ago
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