Answer: 81, 243, 729
Step-by-step explanation:
<u>STEP ONE: Find a pattern in the sequence</u>
3 ÷ 1 = 3
9 ÷ 3 = 3
27 ÷ 9 = 3
As we can see from the given sequence, each number multiplies 3 to get the next term.
<u>STEP TWO: Find the next three terms</u>
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
Hope this helps!! :)
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Suppose we wish to determine whether or not two given polynomials with complex coefficients have a common root. Given two first-degree polynomials a0 + a1x and b0 + b1x, we seek a single value of x such that
Solving each of these equations for x we get x = -a0/a1 and x = -b0/b1 respectively, so in order for both equations to be satisfied simultaneously we must have a0/a1 = b0/b1, which can also be written as a0b1 - a1b0 = 0. Formally we can regard this system as two linear equations in the two quantities x0 and x1, and write them in matrix form as
Hence a non-trivial solution requires the vanishing of the determinant of the coefficient matrix, which again gives a0b1 - a1b0 = 0.
Now consider two polynomials of degree 2. In this case we seek a single value of x such that
Hope this helped, Hope I did not make it to complated
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Locate the number 2 on the x axis, draw a vertical line to the graph of the function, and then draw a horizontal line to the y axis, as shown below. The coordinates of the point are (2, f(2)). The y value of the point is f(2). Read the y value of this point on the y axis
Answer:
Step-by-step explanation:
You should use a ^ to indicate an exponent. x^2 is the same as x².
x² + 9x + 20
Replace the x with (-5).
(-5)² + 9(-5) + 20 = 25-45+20 = 0
Then do the same with x = (-3):
(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2
You can do x = (-6)
8 over 9
= 8/9
= 8:9
Final answer: 8:9~
