Answer:
solution
x<2,2x<-4,x-2<-4 are equvalent
but x-2<4 is not
Answer:
C = (-5,12) E = (11,8)
Step-by-step explanation:
The difference between -5 and 3 is 8, so add 8 to the midpoint (3), and it's 11
The difference between 10 and 8 is 2, so add 2 to the midpoint (10), and it's 12
A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A
Assuming the cylinder is closed at both ends
Surface area = 2 pi r^2 + 2 pi r h = 108
now h = r/2 so we have:-
2pi r^2 + pi r^2= 108
3 pi r^2 = 108
r^2 = 11.459
r = 3.385
so the height h = 1.693 m to nearest thousandth
Step-by-step explanation:
Factor by grouping.
f(x) = x³ + 3x² − 5x − 4
f(x) = x³ + 3x² − 4x − x − 4
f(x) = x (x² + 3x − 4) − (x + 4)
f(x) = x (x − 1) (x + 4) − (x + 4)
f(x) = (x² − x) (x + 4) − (x + 4)
f(x) = (x² − x − 1) (x + 4)