The minimum value is the lowest point of a graphed line. The would be the bottom of the "U" shape.
Looking at the graph you can see that the bottom of the U is touching the horizontal line at x = -5.5, so this would be the minimum value.
The lowest part of the line is at -5.5
Answer:
y=2x+5
Step-by-step explanation:
y=2x+4 means that the slope is m1=2
A parallel line shall have the same slope so
m2=m1=2
Therefore, the equation of the new line will be
y=2x+q
where q is the y-intercept, that is 5 because the line must pass in (0,5), so
q=5
and
y=2x+5
The formula for the circumference of a circle = 2 x radius x pi
The radius is given as 21 cm and pi = 3.142
Circumference = 2 x 21 x 3.142 = 131.964 cm
9514 1404 393
Answer:
Step-by-step explanation:
The speed against the wind is ...
4680 mi/(8 h) = 585 mi/h
The speed with the wind is ...
5720 mi/(8 h) = 715 mi/h
The speed of the airplane in still air is the average of these speeds:
(585 +715)/2 = 650 mi/h . . . speed in still air
The speed of the wind is the difference between the airplane speed and the speed in the wind:
715 -650 = 65 mi/h . . . speed of the wind
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<em>Additional comment</em>
If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...
p + a = with
p - a = against
If we average these, we get ...
((p +a) +(p -a))/2 = (with + against)/2
p = (with + against)/2 . . . . . . . the formula we used above
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
