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2 years ago

10

Which graph shows the solution set of x^2+4x-12/x 0

2 answers:

kupik [55]2 years ago

6 0

As shown in the figure below the answer is the last option:

$(-6, 0) \cup (2, +\infty)$

The roots of the polynomial in the denominator are:

$x_{1}=-6$
$x_{2}=2$

So, the inequality can be written as follows:

$\frac{(x-2)(x+6)}{x}\ \textgreater \ 0$

From this inequality we can study the signs and get the same conclusion just as shows the graph.

MatroZZZ [7]2 years ago

6 0

Answer:

D

Step-by-step explanation:

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Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part

katen-ka-za [31]

Answer:

See Explanation

Step-by-step explanation:

The question is not clear. However, I will treat the question as:

$(26)x = 1$

$(50)x = 1$

and:

$(2^6)^x = 1$

$(5^0)^x = 1$

Solving: $(26)x = 1$ and $(50)x = 1$

$(26)x = 1$

Divide both sides by 26

$x = \frac{1}{26}$

$(50)x = 1$

Divide both sides by 50

$x = \frac{1}{50}$

Solving $(2^6)^x = 1$ and $(5^0)^x = 1$

$(2^6)^x = 1$

Express 1 as 2^0

$(2^6)^x = 2^0$

Remove bracket

$2^{6x} = 2^0$

Cancel out 2

$6x = 0$

Divide both sides by 6

$x = \frac{0}{6}$

$x = 0$

$(5^0)^x = 1$

Express 1 as 5^0

$(5^0)^x = 5^0$

Cancel out 5^0

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2 years ago

What is the equation of the line that passes through the point (3,4) and has an undefined slope?

rosijanka [135]

Answer:

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

Step-by-step explanation:

The slope of the horizontal line is zero

The equation of the horizontal line passes through the point (a, b) is y = b

All the points on the horizontal line have the same y-coordinates

The slope of the vertical line is undefined

The equation of the vertical line passes through the point (a, b) is x = a

All the points on the vertical line have the same x-coordinates

Let us solve the question

∵ The line has an undefined slope

∴ The line is a vertical line

∵ The equation of the vertical line is x = a, where a is the x-coordinate

of any point on the line

∵ The line passes through the point (3, 4)

∴ a = 3

∴ The equation of the line is x = 3

The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3

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