Answer:
Step-by-step explanation:
5) x + 5.4 < -1.6
x < -1.6 - 5.4
x < -7
6) x + 7.5 > -2.5
x > -2.5 - 7.5
x > -10
7) 3 ≤ 1/3 + x
x ≥ 3 - 1/3
x ≥ 5/3
Answer:
B) {14,7}
Step-by-step explanation:
If the x-axis increases by 2 and the y-axis increases by 1 then think of it as the y-axis will always be HALF of the x-axis. In this case, 7 is half of 14 (14÷2=7). :)
Answer:
1290 jumps
Step-by-step explanation:
86 jumps x 15 min = 1290 jumps
Let x be the height of the box and y be the length of one side of the base then:-
V = xy^2 = 108
x = 108/y^2
Surface area = y^2 + 4xy
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy = 2y - 432/y^2 = 0
2y^3 = 432
y^3 = 216
y = 6
Check if this gives a minimum value:-
second derivative = 2 + 864/y^3 which is positive so minimum.
V = xy^2 = 108
36y = 108
y = 3
Answer :- dimensions of the box is 3*6*6 metres
