The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
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A and B are equal to 27^-1
Answer:
1. A container of milk 2L
2. An Eyedropper has 1 mL
3. A cup of punch 250 mL
4. A jar of pickles 500mL
Step-by-step explanation:
Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.
A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.
An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)
A cup of punch is about 250 mL. The keyword there is a CUP and 25L is a big amount and the cup would have to be HUGE.
Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.
i)
Pythagorean's theorem: √50
j)
Pythagorean's theorem: √1/2