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miss Akunina [59]

3 years ago

7

Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have

the following solution sets:
Two solutions: x=−4, x=−8

2 answers:

umka21 [38]3 years ago

7 0

Answer:

|x + 6| = 2

Step-by-step explanation:

|x - b| = c

b is the centre: (-4-8)/2 = -6

b = -6

c is the distance from the centre

-6 - (-8) = -6 + 8 = 2

Or,

-4 - (-6) = -4 + 6 = 2

| x - (-6)| = 2

|x + 6| = 2

guajiro [1.7K]3 years ago

4 0

Answer:

$|x+6|=2$

Step-by-step explanation

$(-4)+(-8)=-12$

$-12/2=-6$

-6 to -8 is 2

So.................

The equation would be

$|x-(-6)|=2$

but if you simplify you get this

$|x+6|=2$

You might be interested in

1) Let f(x)=6x+6/x. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relat

brilliants [131]

Answer:

1) increasing on (-∞,-1] ∪ [1,∞), decreasing on [-1,0) ∪ (0,1]

$x = -1$ is local maximum, $x = 1$ is local minimum

2) increasing on [1,∞), decreasing on (-∞,0) ∪ (0,1]

$x = 1$ is absolute minimum

3) increasing on (-∞,0] ∪ [8,∞), decreasing on [0,4) ∪ (4,8]

$x = 0$ is local maximum, $x = 8$ is local minimum

4) increasing on [2,∞), decreasing on (-∞,2]

$x = 2$ is absolute minimum

5) increasing on the interval (0,4/9], decreasing on the interval [4/9,∞)

$x = 0$ is local minimum, $x = 4/9$ is absolute maximum

Step-by-step explanation:

To find minima and maxima the of the function, we must take the derivative and equalize it to zero to find the roots.

1) $f(x) = 6x + 6/x$

$f\prime(x) = 6 - 6/x^2 = 0$ and $x \neq 0$

So, the roots are $x = -1$ and $x = 1$

The function is increasing on the interval (-∞,-1] ∪ [1,∞)

The function is decreasing on the interval [-1,0) ∪ (0,1]

$x = -1$ is local maximum, $x = 1$ is local minimum.

2) $f(x)=6-4/x+2/x^2$

$f\prime(x)=4/x^2-4/x^3=0$ and $x \neq 0$

So the root is $x = 1$

The function is increasing on the interval [1,∞)

The function is decreasing on the interval (-∞,0) ∪ (0,1]

$x = 1$ is absolute minimum.

3) $f(x) = 8x^2/(x-4)$

$f\prime(x) = (8x^2-64x)/(x-4)^2=0$ and $x \neq 4$

So the roots are $x = 0$ and $x = 8$

The function is increasing on the interval (-∞,0] ∪ [8,∞)

The function is decreasing on the interval [0,4) ∪ (4,8]

$x = 0$ is local maximum, $x = 8$ is local minimum.

4) $f(x)=6(x-2)^{2/3} +4=0$

$f\prime(x) = 4/(x-2)^{1/3}$ has no solution and $x = 2$ is crtitical point.

The function is increasing on the interval [2,∞)

The function is decreasing on the interval (-∞,2]

$x = 2$ is absolute minimum.

5) $f(x)=8\sqrt x - 6x$ for $x>0$

$f\prime(x) = (4/\sqrt x)-6 = 0$

So the root is $x = 4/9$

The function is increasing on the interval (0,4/9]

The function is decreasing on the interval [4/9,∞)

$x = 0$ is local minimum, $x = 4/9$ is absolute maximum.

5 0

3 years ago

Figure FGHJ is shown below.

Mumz [18]

Answer:

quadilateral and parallelogram

Step-by-step explanation:

Find the diagram attached.

The given four is known to have 4 sides and sicne quadilaterals are figures having four side, hence the given figure is a quadilateral. The example of the quadilateral is a parallelogram since opposite sides of the quadilateral are equal.

The names that accurately descbes the figure are quadilateral and parallelogram

3 0

3 years ago

Read 2 more answers

The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only

dolphi86 [110]

Answer: 25%

Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)

7 0

3 years ago

The function d =

Nuetrik [128]

Answer:

continuous

Step-by-step explanation:

Since the function d=45t can have numbers in between and time is constantly happening, he does not hop, or skip at 1 second, then 5 seconds...he is continuously traveling, so time = 1 sec, 1.1 sec., 1.1000001, 1.000002, etc. time does not stop therefore if you graphed this, you would connect the dots, therefore, it is continuous

3 0

3 years ago

vagabundo [1.1K]

Answer:

6.9 miles.

Step-by-step explanation:

2.3mph x 3h=6.9m

5 0

3 years ago