5) Given the equation \( 4 x^{2}+8 x+k=0 \).. We sure to show wark is the discriminant? a) Folculator allowed, b) For what values of \( k \) will the equation have a repeated root? c) For what values of \( k \) will the equation have 2 real roots? d) For what values of \( k \) will the equation have imoginary roots? e) Name 3 values of \( k \) for which the given equation has rational roots. f) If \( (x+k)^{2}=x^{2}+22 x+k^{2} \) for all real numbers \( x \), then what does \( k \) equal? Explain your reasoning. f) 99

\( 1< \) For the given inequality, write the inequality obtained in each case described. \[ 6 x+10<4 \] (a) Write the inequality obtained by adding 3 to each side of \( 6 x+10<4 \). (a)

2.3 Complete the following statements. 2.3.1 If GU \| LE and \( \mathrm{QR} \| \mathrm{LE} \), then GU and QR are \( 2.3 .2 \quad \) If \( \mathrm{ST} \perp \mathrm{UV} \) and \( \mathrm{JK} \perp \mathrm{UV} \), then ST and JK are

). \( 3 x+4<19 \)

15. \( |x+3|<-5 \)

The mean percent of childhood asthma prevalence in 43 cities is \( 2.43 \% \). A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than \( 2.9 \% \) ? Interpret this probability. Assume that \( \sigma=1.38 \% \).