Answer:
if that arrow stands for an equal, than x=28
Fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5
5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g
The mass of the yoghurt is 111g
The solution to the equation is p = 1/3 and q = undefined
<h3>How to solve the equation?</h3>
The equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
The best way to solve the above equation is by the use of a graphing calculator i.e. graphically
However, it can be solved algebraically too (to some extent)
Recall that the equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
Split the equation
So, we have
p^2 - 2qp + 1/q = 0
p - 1/3 = 0
Solve for p in p - 1/3 = 0
p = 1/3
Substitute p = 1/3 in p^2 - 2qp + 1/q = 0
So, we have
(1/3)^2 - 2q(1/3) + 1/q = 0
This gives
1/9 - 2/3q + 1/q = 0
This gives
2/3q + 1/q = -1/9
Multiply though by q
So, we have
2/3q^2 + 1 = -1/9q
Multiply through by 9
6q^2 + 9 = -q
So, we have
6q^2 + q + 9 = 0
Using the graphing calculator, we have
q = undefined
Hence. the solution to the equation is p = 1/3 and q = undefined
Read more about equations at:
brainly.com/question/13763238
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Answer:
a) 0.4 s; b) 4.016 m
Step-by-step explanation:
a) Time to same height
b) Height
Insert the value of t into one of the equations.
The diagram below shows that the trajectories of the balls intersect after 0.4 s at a height of 4.016 m.
