GRAMS! Is the best answer :) all others are used for heavier objects and such, however GRAMS is just right for a light object as in a stapler
Answer:
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Rate = 2 seats/11 minutes = 2/11 seats/min
Therefore the time required for s seats is
That is,
m = (11s)/2 min
When s = 16, obtain
When s = 19, obtain
Answers:
When s = 16, m = 88 min
When s = 19, m = 104.5 min
Exterior angles are found along the outside of the figure if you extend the figure's side lengths.
The exterior angles in the image would be 4 and 5.
6 isn't an angle, and all of the other options are found on the inside of the triangle (1,2 and 3).
Step OneFor convenience f(x) = y
y = -(1/2) sqrt(x + 3) Interchange x and y
x = -(1/2) sqrt(y + 3) Multiply both sides by -2
(-2x) = sqrt(y + 3) Square both sides
4x^2 = y + 3 Subtract 3 from both sides
4x^2 -3 = y
f-1(x) = 4x^2 - 3
GraphsThe original graph is in blue
The inverse is red.
Green Line y = x : explained below.
CommentInverses have a very strange property. It acts as a check.
If you perform the following operation
f-1(f(x)) you are left with x
In this case f-1[-1/2 sqrt(x + 3)]= 4(-1/2 * sqrt(x + 3))^2 - 3
f-1 (-1/2sqrt(x+3)) = 4 (1/4 (x+3) - 3
f-1(-1/2sqrt(x + 3)) = x+ 3 - 3 = x
I've included this because I think you have to put the same restriction on f-1(x) as you do on f(x) which is that for f(x) x ≥ -3
This last assertion could be incorrect, but I don't think so.
The answer is f-1(x) = 4x^2 - 3 <<<<<
answer first box and
x≥-3 for the second box. <<<<<<
answer for the second box.Let me know if these are correct. I'm not sure about the restrictions.