1/4 of 200 is bigger because it is 50 and 40% of 120 is 48
0.00041649312
got it from a calculator, should be correct if not
Expand the brackets: x²+5x+6=kx+2. So x²+(5-k)x=-4.
To complete the square on the left we add ((5-k)/2)² to each side:
(x+(5-k)/2)²=((5-k)/2)²-4.
Take a look at the right hand side: when this is zero we have equal roots:
((5-k)/2)²=4, (5-k)/2=±2, 5-k=±4, k=5∓4, giving us k=1 or 9.
(5-k)/2 is 2 or -2. So if k=9, (x-2)²=0. And x=2 is the positive root.
Answer:
D. There is no evidence to show an increase in the proportion of students attending college because the p-value is less than the alpha level, therefore we will reject the null hypothesis.
Step-by-step explanation:
Assuming a significance level of α=0.05, since 0.000548<0.05, we reject the null hypothesis and conclude that there is no evidence to show an increase in the proportion of students attending college. So option D is correct.
Step-by-step explanation:
√3 x² - 2x - √3 = 0
√3 x² - 3x + x - √3 = 0
√3 x(x - √3) + 1(x - √3) = 0
(x - √3 ) (√3 x + 1) = 0
x - √3 = 0 , √3 x +1 = 0
x = √3 , x = -1/√3
