It is sometimes possible to write two inequalities as a inequality.

1 answer:

7 0

Hi!

Yes, it is. When we have one inequality composed of two inequalities, we call this a double inequality.

A double inequality would look something like <em>-5 < 4x < 10.

</em>Hopefully, this helps! =)<em>
</em>

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Write an equation (-2, 10), (10, -14)

Brilliant_brown [7]

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-2)}}}\implies \cfrac{-24}{10+2}\implies \cfrac{-24}{12}\implies -2$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}]\implies y-10=-2(x+2) \\\\\\ y-10=-2x-4\implies y=-2x+6$

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3 years ago

I'm having trouble figuring out what the equation is for the trend line and what the slope is

Talja [164]

Answer:

The equation for the trend line would be y = -1/100x + 25

Step-by-step explanation:

In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (0 - 25)/(2500 - 5)

m = -25/2500

m = -1/100

Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.

y = mx + b

y = -1/100x + 25

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3 years ago

Without solving determine the character of the solutions of the equation x^2+2x+5=0

Sav [38]

★ QUADRATIC RESOLUTION ★

Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions

D < 0

b² - 4ac < 0

4² - 4 ( 5 ) < 0

16 - 20 < 0

-4 < 0

Hence it's character is stated above

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Answer:

Step-by-step explanation:

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900 ft!

Step-by-step explanation:

Volume = l ∗ w ∗ h

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