Alexis loves to work out on the treadmill. On Monday, she ran 1.52 miles. On Tuesday she ran 0.75 miles. On Wednesday she ran 2.
1 answer:
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In the elimination method, one variable is eliminated from the system of equations to find the value of the other.
To create the opposite terms of the x-variable-
- The first equation be multiplied by the number 4.
- Second equation be multiplied by the number -6.
To solve the system of equations and find the value of the variables, the elimination method is used.
In this method, one variable is eliminated from the system of equations to find the value of the other.
Given information-
The system of the equation given in the problem is,
The second equation given in the problem is;
To eliminate the x term, make the coefficient of x of both equations equal.
It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.
The first equation is multiplied by;
The second equation is multiplied by;
Hence, to create the opposite terms of the x-variable-
The first equation is multiplied by the number 4.
The second equation is multiplied by the number -6.
Learn more about the elimination method here;
Answer:
The correct option is;
D. x = -1.38 and 0.82
Please find attached the combined function chart
Step-by-step explanation:
The given equation is x³ + 3 = -x⁴ + 4
Plotting the equation using Excel, we have;
f(x) = x³ + 3, h(x) = -x⁴ + 4
x f(x) h(x)
-1.4 0.256 0.1584
-1.39 0.314381 0.26699
-1.38 0.371928 0.373261
-1.37 0.428647 0.477246
-1.36 0.484544 0.57898
Which shows an intersection at the point around -1.38
x f(x) h(x)
0.77 3.456533 3.64847
0.78 3.474552 3.629849
0.79 3.493039 3.610499
0.8 3.512 3.5904
0.81 3.531441 3.569533
0.82 3.551368 3.547878
0.83 3.571787 3.525417
Which shows the intersection point around 0.82
Therefore, the correct option is x = -1.38 and 0.82
From the graphing calculator the intersection point is given as
x = -1.3802775691 and 0.81917251339.
