The solution to the given system of linear equations lies in which quadrant? 1, 2, 3, or 4
2 answers:
Answer:
The correct option is 4. The solution of given system of equation is (3,-1), which lies in 4th quadrant.
Step-by-step explanation:
The given equations are
.... (1)
.... (2)
Subtract equation (2) from equation (1).
Divide both sides by -4.
The value of y is -1.
Substitute y=-1 in equation (1).
Subtract 3 from both sides.
The solution of given system of equation is (3,-1).
Since the x coordinate is positive and y coordinate is negative, therefore the solution of given system of equation lies in 4th quadrant.
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is the algebraic representation for an exponential function
Step-by-step explanation:
Given:
f(x + 1) = 4.f(x)
f(3) = 16
To Find:
Algebraic representation for an exponential function=?
Solution:
From the formula f(x+n) = f(x)
when n= 1, x= 3
f(3+1)= 4(1)f(3)
f(4)= 4f(3)
Substituting the value of f(3)
f(4)= 4f(3)
f(4)= 4 x 16
f(4)= 64
f(4)=
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f (5) = x
f(5)=
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F(6) =
Hence,
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We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
The equation is:
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:
We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.