Answer:
The solution to the system of equations is x=3 y= 23
Step-by-step explanation:
solving this system of equation using substitution method
-3x-y=14 ….. equation (1)
-9x =-27 ….. equation (2)
Solving for value of x from equation 2
-9x =-27
so x= -27/-9 = 3
so x = 3
The second equation is solved for x, so we can substitute the expression 3 in for x in the first equation (1)
-3x-y=14
-3 (3) - y =14
-9-y= 14
-9=14+y
y=-23
The solution to the system of equations is x=3 y= -23
We can check our work by plugging these numbers back into the original equations. Let's try -3x-y=14
-3x-y=14
-3(3) -(-23)= 14
-9+23 = 14
14= 14
Yes, our solution checks out.
Answer:
RT = 86
Step-by-step explanation:
Here, we want to find the value of RT
looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT
what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT
Thus, we have it that;
2(15x -17) = 23x -6
30x - 34 = 23x -6
30x -23x = -6 + 34
7x = 28
x = 28/7
x = 4
So, we make a substitution
for RT;
23x-6
= 23(4) - 6 = 92-6 = 86
Answer: a to the power 13
Step-by-step explanation: identity: a^m × a^n= a^m+n
^ means 'to the power'
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
Answer:
- A(0) = 2; A'(t) = 6 - 0.08A(t)
- A(∞) = 75
Step-by-step explanation:
The initial value is said to be 2 pounds, so A(0) = 2.
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The influx is (1.5 #/gal)×(4 gal/min) = 6.0 #/min.
The outflow is (4 gal)/(50 gal) × A(t) = 0.08A(t).
The rate of change of A(t) is then ...
A'(t) = 6 - 0.08A(t)
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When the system reaches steady state, A'(t) = 0, so ...
0 = 6 - 0.08A(∞)
A(∞) = 6/0.08 = 75
75 pounds of salt will be in the tank after a long period.
