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2 years ago

Write the inequality that is represented by the number line below use x as your variable

Mathematics

1 answer:

Mrrafil [7]2 years ago

3 0

Answer:

-4 < x < 2

Step-by-step explanation:

-4 is where the first point begins.

-4

since the point is "open", aka not shaded, it should be "<"

-4 <

we now have to insert the given variable, x

-4 < x

the second, ending point, is also "open"

-4 < x <

the ending point lands on 2

-4 < x < 2

hopefully this answers your question. but a little fyi, this is simply the way i learned it, so it may/may not be what you exactly need :)

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3 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

3 years ago

Read 2 more answers

If the length of a square is 10 feet what is the area?

lawyer [7]

The area of a square is length x width, but as all sides of a square are equal, then you can simply square the length of one side of the square.
The length of the square in your problem is 10 feet, so all sides have a length of 10 feet. You can write the problem for getting the area as 10x10 or 10-squared (10^2).
The answer would be 100 feet.

8 0

2 years ago