Answer:
x+2y=12-------(1)
x-2y=3---------(2)
Adding equations 1 and 2
we get
2x=18
x=9
Equation 1
9+2y=15
2y=15-9
2y=6
y=3
The solution of the given system is x=9, y=3
Step-by-step explanation
Answer:
He must start his journey by 11 AM
Step-by-step explanation:
Speed of Toshi while walking up the mountains is 1.5 kilometres per hour
Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour
Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours
Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours
He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance
Thus, He must start his journey by 11 AM
Let us assume the regular price of each tube of paint = r.
0.50 off each tube.
New price of each tube = r - 0.50.
She buy 6 tubes.
Total price of 6 tubes = 6×(r-0.50).
We are given total price = $84.30 .
Therefore, we can setup an equation
6×(r-0.50) = 84.30.
Distributing 6 over (r-0.50), we get
6r - 3.0 = 84.30
Adding 3.0 on both sides, we get
6r - 3.0+3.0 = 84.30+3.0
6r = 87.30
Dividing both sides by 6, we get
6r/6 = 87.30/6
r = 14.55
<h3>Therefore, required equation is
6(r-0.50) = 84.30 and the regular price of each tube of paint is $14.55.</h3>
Just add that’s by 6 then times it by 5 the add 3 to it
Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:
To find:
The current that will produce the maximum power.
Solution:
We have,
Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is 
, then
In the given function, a=-12 and b=120. So,
Putting x=5 in the given function, we get
Therefore, 5 watt current will produce the maximum power of 300 amperes.
