Answer:
Option d. is the correct choice.
Step-by-step explanation:
8 can be written as √8 x √8 = √64
So, given expression will become:
= √64 x √6
= √384
Best Regards!
240 minutes is equal to 4 hours.
Answer:
2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.
Step-by-step explanation:
The maximum point, or a point of the graph with the highest y-value, is at
(0.5, 7).
The minimum point, or a point of the graph with the lowest y-value, is at
(3.5, -5).
The point of inflection is where the graph begins to change direction. This is at (2, 1).
Therefore, the 2nd option is correct.
Mid point formula =
(x1/2+x2/2, y1/2+y2/2)
x=
x+0 = 8
/2
x+0 = 8 x 2
x = 16
y=
y+(-2) = 1
/2
y-2 =1 x2
y=2+2
y=4
(16,4)
(In this case, the midpoint (x ,y) will be represent as the answer)
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I
The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II
Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4
Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2
From the above calculations:
x = -3/2
y = 4