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Questions in mathematics

[Free] Use the discriminant to determine the nature of the solutions to the quadratic equations: a) [tex]4 x^2+5 x+7[/tex] b) [tex]3 x^2-6 x+3[/tex] c) [tex]x^2+6 x-2[/tex]

[Free] What is the common denominator of $y+\frac{y-3}{3}$ in the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{9}+\frac{2}{3 y}}$?

[Free] What is the equation of a line in slope intercept form, given that the slope of the line is 1 and a point on the line is $(-2,0)$? A. $y=x-2$ B. $y=2 x+1$ C. $y=x+2$ D. $y=2 x-1

[Free] What is the additive inverse of the expression below, where $a$ and $b$ are real numbers? $2 a+b$

[Free] Evaluate $\lim _{x \rightarrow 0} \frac{\ln (1-x)}{e^x-1}=$

[Free] Which statements must be true about the reflection of a uve-200 mastment itireceptions? [tex]$m \angle X Z Y=90^{\circ}$[/tex] [tex]$\overline{X X} \cong \overline{Y Y^{\prime}}$[/tex] [tex]$\overline{X Y} || \overline{X'Y'}$[/tex]

[Free] What is the solution of [tex]x=2+\sqrt{x-2}[/tex]?

[Free] A coin is tossed 2 times. What is the probability of getting all heads? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

[Free] What is \frac{-5}{9} \cdot \frac{8}{17}?

[Free] From the following data given below, calculate the coefficient of Rank correlation between x and y. | x | 80 | 92 | 97 | 82 | 64 | 71 | 69 | 58 | |----|-----|-----|-----|-----|-----|-----|-----| | y | 125 | 135 | 112 | 150 | 107 | 132 | 118 | 120 |