Mathematics, 17.07.2019 18:20, who0fade

(b) prove that there is a unique integer n for which 2n^2-3n-2=0.

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answered: dellian5355

The only integer solution is n1=2

Step-by-step explanation:

Let's find the answer by using the following equation applied to quadratic polynomials with the form $an^{2}+bn+c=0$ :

$n=\frac{-b\±\sqrt{b^{2}-4ac}}{2a}$

For our case $2n^{2}-3n-2=0$ , a=2, b=-3, and c=-2, so:

$n=\frac{-(-3)\±\sqrt{(-3)^{2}-(4*2*(-2))}}{2*2}$

$n=\frac{3\±\sqrt{9+16}}{4}$

$n=\frac{3\±5}{4}$

$n1=\frac{3+5}{4}=2$

$n2=\frac{3-5}{4}=-0.5$

In conclusion, although there are 2 roots (n1, n2), only one of them is an integer, which is n1=2.

answered: Guest

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What are the y-intercept and the slope of the line represented in the graph? a. y-intercept = -4 and

answered: Guest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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(b) prove that there is a unique integer n for which 2n^2-3n-2=0....