Answer:
Step-by-step explanation:
Answer:
214
Step-by-step explanation:
A circle is 360 degrees
Arc EF is 146 degrees
EF + EDF = full circle
146 + EDF = 360
Subtract 146 from each side
146-146 +EDF = 360-146
EDF =214
The answer is 300,012,065,708
The linear equation that represent the situation is 3b - 6 = 45.
The value of b is 17.
<h3>How to represent a linear equation?</h3>
The situation forms a linear equation. Therefore,
y = mx + b
where
Therefore, let's model the equation linearly,
where
- b = number of books bought
She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.
Therefore, the equation is as follows
3b - 6 = 45
The value of b is as follows;
3b - 6 = 45
3b = 45 + 6
3b = 51
b = 51 / 3
b = 17
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Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
