All categories

3 years ago

Which graph shows the solution set for |x - 3| < 4?

Mathematics

2 answers:

ikadub [295]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

|x - 3| < 4

To remove the absolute values, we need to make two inequalities, one positive and one negative

x-3 < 4 and x-3 > -4

Add 3 to each side

x-3+3<4+3 and x-3+3 > -4+3

x<7 and x >-1

-1 <x <7

lawyer [7]3 years ago

4 0

Answer:

Step-by-step explanation:

One way to do this is to interpret |x - 3| < 4 is to say: "the distance of variable x from the center 3 is less than 4."

On the left side: measuring 4 units to the left from 3, mark an open circle (since x does not actually touch -1).

On the right side: measuring 4 units to the right from 3, mark an open circle at 7.

So the correct graph consists of the line segment connecting x = -1 and x = 7 but not touching or including these two numerical values.

Next time, please share the four possible answers.

You might be interested in

Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.

amm1812

Answer:

$V = \frac{8\pi}{3}$

Step-by-step explanation:

For this case we are interested on the region shaded on the figure attached.

And we can find the volume with the method of rings.

The area on this case is given by:

$A(x) = \pi [f(x)]^2 = \pi r^2 = \pi [3x]^2 = 9\pi x^2$

And the volume is given by the following formula:

$V= \int_{a}^b A(x) dx$

For our case our limits are x=0 and x=2 so we have this:

$V = \pi \int_{0}^{2} x^2 dx$

And if we solve the integral we got this:

$V= \pi [\frac{x^3}{3}]\Big|_0^{2}$

And after evaluate we got this:

$V=\pi [(\frac{8}{3} )-(\frac{0}{3} )]$

$V = \frac{8\pi}{3}$

3 0

2 years ago

Help meeeee this are the last of my mf pointssssss

boyakko [2]

Answer:

y=0.6 x=3.6

dddddddddddddddddd

7 0

2 years ago

GUYS IS THIS RIGHT? PLEASE BE HONEST AND IF ISN’T PLEASE TELL ME WHAT I DID WRONG TYY :)

scoray [572]

That is correct ! you did everything right

6 0

3 years ago

Read 2 more answers

Solve the following equation for dd. Be sure to take into account whether a letter is capitalized or not.

AlekseyPX

Answer:

$d=\frac{H}{m+6}$

Step-by-step explanation:

The equation given is:

$-6d+H=md$

We take d's to one side and others to another side of the equal sign. Thus,

$-6d+H=md\\H=md+6d$

Note: remembering to change signs when changing sides

Now, we want to isolate d on the RHS:

$H=md+6d\\H=d(m+6)$

To make "d" the subject, we divide both sides by "m+6", to get our answer:

$H=d(m+6)\\\frac{H}{m+6}=\frac{d(m+6)}{m+6}\\d=\frac{H}{m+6}$

This is the answer.

8 0

2 years ago

Convert to centimeters (cm) Add 731mm, 534cm, and 20cm (answer in cm)

ss7ja [257]

73.1 plus 534 plus 20 627.1

7 0

2 years ago

Read 2 more answers