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3 years ago

If G( x ) = 3 x + 1, then G -1 (1) is... -1/3 -4 -0

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

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3 years ago

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

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3 years ago

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A truck rental company charges a one-

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Answer:

D. 35

Step-by-step explanation:

.8(40+1x)=60

32+.8x=60

.8x=28

x=28/.8

X=35

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3 years ago

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3 years ago

Find the midpoint between the points (-4, 2) and (-6, -2)

Zielflug [23.3K]

Answer:

c (-5, 0)

Step-by-step explanation:

midpoint formula:

$( \frac{x1 + x2}{2} ) \: and \: ( \frac{y1 + y2}{2} )$

$x1 = - 4\\ x2 = - 6 \\ x1 + x2 = - 4 + - 6 \\ = - 10$

$\frac{ - 10}{2} = - 5$

$y1 = 2 \\ y2 = - 2 \\ y1 + y2 = 2 + ( - 2) \\ = 0$

so, -5 is x and 0 is y. the answer is C.

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4 years ago