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2 years ago

How many solutions does the equation below have? 1/(-6-8x) = -3- 1x

Mathematics

1 answer:

uranmaximum [27]2 years ago

5 0

Answer:

This equation has 2 solutions.

1. $x=\frac{-15+\sqrt{89}}{8}$

2. $x=-\frac{15+\sqrt{89}}{8}$

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2 years ago

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

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3 years ago

5 - 4k = -7<br> please help

Lina20 [59]

Answer:

k = 1.75

Step-by-step explanation:

5 - 4k = -7

k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.

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1 year ago

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What is the formula of the area of any triangle

MrRissso [65]

Answer:Side x side x side

Step-by-step explanation:

Since it is usually equally sided, it would be SxSxS

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3 years ago

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How many solutions does the equation below have? 1/(-6-8x) = -3- 1x​

How many solutions does the equation below have? 1/(-6-8x) = -3- 1x