The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
Answer: Ball's kinetic energy became potential energy
Step-by-step explanation:
There are no options attached but this should be along the lines of what happened.
Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.
The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.
To find out d answer to dis we need to subtract d amount of plastic trains by d amount of wooden trains. d answer will be d answer to your question. lets do it:-
41 - 23 = 18
Jimmy sees 18 more plastic trains than wooden trains.
CHECK OUR WORK:-
18 + 23 = 41
We were RIGHT!!
So, Jimmy sees 18 more plastic trains than wooden trains.
Hope I helped ya!! xD
The y-coordinate of point j' in the image triangle J'K'L' is -x coordinate of point j in the initial triangle JKL.
Step-by-step explanation:
The rule to apply here is that of 90° clockwise about the origin.
This is to say that: rotation 270° counterclockwise about the origin applies the same rule as rotation 90° clockwise about the origin.
In this case, If point j has coordinates (x,y) then after the rotation j' will have coordinates (y,-x)
So the y-coordinate of point j' in the image triangle J'K'L' is -x coordinate of point j in the initial triangle JKL.
Learn more
Rotation about the origin 270°:brainly.com/question/3382538
Keywords : triangle, rotated, origin, counterclockwise,y-coordinate
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