<img src="https://tex.z-dn.net/?f=x%5E2-x-6%3D0" id="TexFormula1" title="x^2-x-6=0" alt="x^2-x-6=0" align="absmiddle" class="lat

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scZoUnD [109]

3 years ago

ex-formula">

Mathematics

2 answers:

yulyashka [42]3 years ago

7 0

Answer:

x = 3 or x = -2

Step-by-step explanation:

x² - x - 6 = 0

(x - 3)(x + 2) = 0

x - 3 = 0 or x + 2 = 0

x = 3 or x = -2

nikklg [1K]3 years ago

5 0

Since x and x -1 are two consecutive numbers that x > x-1, x= 3

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−2(2x+3)≤26 - 2 2 x + 3 ≤ 26 ?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

$2x\geq -16$

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

$\huge \boxed{ \boxed{ \bf \: x\geq -8 }}$

The correct answer is ⇨ x greater than or equal to -8.

3 0

2 years ago

What is 6/5 divided by 4/10

Sidana [21]

Your answer is 0.03 because you have to make the 5 equal to the ten and that would be 10 then change the division to multiplication and just multiply across then you simplify it.

6 0

3 years ago

Read 2 more answers

Can't figure it out!!

Zanzabum

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \cfrac{1}{x} \qquad 
\begin{cases}
x_1=2\\
x_2=b
\end{cases}\implies \cfrac{f(b)-f(2)}{b-2}=-\cfrac{1}{10}
\\\\\\
\cfrac{\frac{1}{b}-\frac{1}{2}}{b-2}=-\cfrac{1}{10}\implies 
\cfrac{\frac{2-b}{2b}}{b-2}=-\cfrac{1}{10}\implies \cfrac{2-b}{2b}=-\cfrac{b-2}{10}
\\\\\\
$

$\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying
\\\\\\
2b^2-4b-10b+20=0\implies 2b^2-14b+20=0
\\\\\\
b^2-7b+10=0\implies 
(b-2)(b-5)=0\implies b=
\begin{cases}
\boxed{5}\\
2
\end{cases}$

8 0

3 years ago

Which graph represents the function?

BlackZzzverrR [31]

Answer:

The last one.

Step-by-step explanation:

The solutions with the horizontal lines are wrong because then h(x) would be -1 and 1 respectively.

The subtlety is in the open or closed dot. x ≥ -1 means that -1 is included, which is drawn as a closed dot. x < -1 means that -1 is excluded, which is drawn as an open dot.

Hence the last graph is the correct one.

4 0

3 years ago

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My question is 7/8*8/9

Tom [10]

7/8*8/9 = (7*8)/(8*9)
Since we have an 8 both above and below, we can erase it, and so the answer is 7/9

6 0

3 years ago