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lana66690 [7]
2 years ago
12

Which equation has a graph that lies entirely above the x-axis?

Mathematics
2 answers:
Alinara [238K]2 years ago
8 0

Answer:

(Option C) y = (x – 7)2 + 7

Step-by-step explanation:

hope this helps!! have an amazing day <3

kogti [31]2 years ago
4 0

Answer:

Answer:

Option C.

Step-by-step explanation:

The vertex form of a parabola is

where, a is constant, (h,k) is vertex.

If a<0, then it is a downward parabola and if a>0, then it is an upward parabola.  

A downward parabola never lies entirely above the x-axis.

First equation is

It is a downward parabola and vertex is (-7,7).

Second equation is

It is an upward parabola and vertex is (7,-7).

Third equation is

It is an upward parabola and vertex is (7,7).

Fourth equation is

It is a linear equation with y-intercept -7.

Only equation 3 is an upward parabola whose vertex lies above the x-axis.

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Westkost [7]

Answer:

The possible values of x are:

x= \frac{-1+\sqrt{3}}{4} \,\,or\,\, x= 0.18

and

x= \frac{-1-\sqrt{3}}{4} \,\, or \,\, x= -0.68

Step-by-step explanation:

8x^2+4x+1=0

Using Quadratic formula to solve this equation:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a = 8 \,\, b = 4\,\, c = -1\\Putting \,\, values \,\, in \,\, the\,\, equation\\x= \frac{-4\pm\sqrt{(4)^2-4(8)(-1)}}{2(8)}\\x= \frac{-4\pm\sqrt{16+32}}{16}\\x= \frac{-4\pm\sqrt{48}}{16}\\x= \frac{-4+ \sqrt{48}}{16} \,\, and \,\, x= \frac{-4- \sqrt{48}}{16}\\x= \frac{-1+ \sqrt{3}}{4} \,\, and \,\, x= \frac{-1- \sqrt{3}}{4}

The possible values of x are:

x= \frac{-1+\sqrt{3}}{4} \,\,or\,\, x= 0.18

and

x= \frac{-1-\sqrt{3}}{4} \,\, or \,\, x= -0.68

4 0
3 years ago
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3 years ago
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jeyben [28]
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