Answer:
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Step-by-step explanation:
sqrt{17} > sqrt{11}
Answer:
4x + 12 = 8; 4x = -4; x = -1. Therefore the four consecutive odd integers are -1, 1, 3, 5.
Step-by-step explanation:
Answer:
7X+4y=35
Step-by-step explanation:
Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).
Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10
Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30
A power of 10 is as many number 10s as indicated by exponent multiplied together shown in a long form a power if 10 is the number 1 followed by zeros example:10^6 is written 1,000,000
