Y= x² + 5x – 3 y - x = 2
1 answer:
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Answer:
80.
81. Each apple cost $0.50
82. One pound of chocolate = $3
Step-by-step explanation:
80.
Let sold of 1 senior citizen ticket be "s", and
cost of 1 child ticket be "c"
First Day, 4 senior citizen ticket and 5 child tickets sold, equaled $46, so the equation we can write is:
Second Day, 3 senior citizen ticket and 1 child ticket sold, equaled $22, so the equation we can write is:
So, the system of equation (2 equations) written above can be solved simultaneously to find our answer.
81.
Let price of 1 apple be "a" and price of 1 banana be "b"
Since 3 apples and 2 banana cost $2, so we can write:
3a + 2b = 2
Then,
4 apples and 4 bananas cost $3, so we can write:
4a + 4b = 3
We can solve for the variable b in equation 1. Shown below:
Now we put this value of b into equation 2 and solve for cost of 1 apple, a. Shown below:
So each apples cost $0.5
82.
Let 1 pound of chocolate be cost "c"
Let 1 pound of peanut be cost "p"
4 lb of chocolate and 2 lb of peanut = $16, thus we can write:
4c + 2p = 16
Next,
2 lb of chocolate and 3 lb of peanut costed $12, so we can write:
2c + 3p = 12
We solve first equation for p:
Now, we put this expression for p into equation 2 and solve for c:
So, 1 pound of chocolates cost $3
Answer:
The Fundamental Theorem of Algebra assures that any polynomial f(x)=0 whose degree is n ≥1 has at least one Real or Imaginary root. So by the Theorem we have infinitely solutions, including imaginary roots ≠ 2i
Step-by-step explanation:
1) This claim is mistaken.
2) The Fundamental Theorem of Algebra assures that any polynomial f(x)=0 whose degree is n ≥1 has at least one Real or Imaginary root. So by the Theorem we have infinitely solutions, including imaginary roots ≠ 2i with real coefficients.
For example:
3) Every time a polynomial equation, like a quadratic equation which is an univariate polynomial one, has its discriminant following this rule:
We'll have <em>n </em>different complex roots, not necessarily 2i.
For example:
Taking 3 polynomial equations with real coefficients, with
2.2) For other Polynomial equations with real coefficients we can see other complex roots ≠ 2i. In this one we have also -2i