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KengaRu [80]
2 years ago
6

( 97 )^2 evaluate of the following by using identities​

Mathematics
2 answers:
Neko [114]2 years ago
8 0

Answer:

9409

Step-by-step explanation:

Let's rewrite 97 as 100 - 3.

Identity used :

<u><em>(a - b)² = a² - 2ab + b²</em></u>

Now, evaluating the expression :

⇒ (100 - 3)²

⇒ (100)² - 2(100)(3) + (3)²

⇒ 10000 - 600 + 9

⇒ 9400 + 9

⇒ 9409

morpeh [17]2 years ago
3 0
<h2>Evaluate</h2>

( 97 )^2 evaluate of the following by using identities.

Evaluate Solution:

  • = 100 - 3² close parenthises.
  • = (100)² - 2 (100)(3) + (3)²
  • = 10,000 - 600 + 9
  • = 10,000 - 600
  • = 9400
  • = 9400 + 9
  • = 9409

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Every economic decision has only positive benefits. gained opportunities. unavoidable limitations. a consequence or tradeoff.
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Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.
3 0
3 years ago
Read 2 more answers
Will reward brainliest!
Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is 17+3 x^{2}=6 x

Subtracting 6x from both sides, we have,

3x^{2} -6x+17=0

Solving the equation using quadratic formula,

x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}

Simplifying the expression, we get,

\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}

Taking out the common terms and simplifying, we have,

\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}

Dividing by 3, we get,

x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}

Hence, the equation has two irrational solutions.

8 0
3 years ago
Ele:
lana66690 [7]

Answer:

The pattern is that, every time a 9 is added. This pattern continuous forever.

Step-by-step explanation:

9 X 1 = 9

9 X 2 = 18 (9+9)

9 X 3 = 27 (9+9+9)

Etc.

5 0
2 years ago
Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

y=x+3.......(1)\\4x+y=18.....(2)

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

4x+x+3=18\\5x=18-3\\5x=15\\x=3

substitute the value of x=3 in equation (1) we get,

y=3+3\\y=6

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0
2 years ago
Please answer this correctly without making mistakes
morpeh [17]

Answer:

2nd one is corect

60% is 93.49$ but u are getting 100$ discount so 2nd is ans

4 0
2 years ago
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