Look at the screenshot--help?
1 answer:
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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.
Answer:
The coordinate of the vertex of the parabola is (h,k) = (3,20)
Step-by-step explanation:
The given equation of the parabola is
Now, the General Parabolic Equation is of the form:
, then the vertex is the point (h, k).
Now, to covert the given equation in the standard form:
Using the COMPLETE THE SQUARE METHOD,
or
⇒The general formed equation of the given parabola is
Comparing this with general form, we get
h = 3, k = 20
Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)