The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1
<h3>How to determine the expression for ab - c?</h3>
The polynomials are given as:
a = n
b = 2n + 6
c = n² - 1
The expression ab - c is calculated using:
ab - c = n * (2n + 6) - (n² - 1)
Expand
ab - c = 2n² + 6n - n² + 1
Collect like terms
ab - c = 2n² - n² + 6n + 1
Evaluate
ab - c = n² + 6n + 1
Hence, the expression for ab - c is n² + 6n + 1
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Answer:
0.272727… = 27/99
Step-by-step explanation:
(since 27 is the repeating part of the decimal and it contains 2 digits). We can reduce this fraction (a process that we'll talk more about in a future article) by noticing that we can divide both the numerator and denominator by 9 to get 0.272727… = 27/99 = 3/11.
Answer:
u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis
Step-by-step explanation:
Given that y = 2x² + 6
The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.
For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.
Therefore y = 0² + 6 = 0
The intercept is at (0,6) and is symmetrical with respect to the y-axis
Answer:
<h3>The answer is option C.</h3>
Hope this helps you
