Solve: 4|x| = 32


–8 or 8


8


24


no solution

Answers

Answer 1

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

[tex]\displaystyle \large{4|x|=32}[/tex]

First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]

Absolute Value Definition

[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8


Related Questions

What is the value of y? 2 R C A. 60° B. 120° C. 369 D. Cannot be determined​

Answers

Answer:

60 degrees

Step-by-step explanation:

edge

what are all the roots of the function f(x)= x^3+3x^2-x-3

Answers

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

1
Find the indicated values for f(x) = -X.
-
a.
b.
f(0)
f(22)
f(-22)
C.
a.
f(0) =
=

Answers

Answer:

f(0) = 0

f(22) = 11

f(-22) = -11

Step-by-step explanation:

Substitute the values for x.

[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]

Using the picture below, which angle is alternate exterior to angle 2?

Answers

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

Help!!

What is the value of -2 xy if x = -1 and y = 6?

-12
12
8
26

Answers

Answer:

12

Step-by-step explanation:

-2xy

Let x = -1 and y =6

-2 ( -1) (6)

Multiply

2 (6)

12

Please I really need help
15 POINTS..15 POINTS

ONLY ONE QUESTION
ANSWER IT WITH EXPLANATION

PLEASE I NEED IT NOW

Answers

yes the slope is constant

NEW ANSWER

Lupita is correct because when there is a constant of proportiantilly the line will start at the origin and it will be straight all the way. No curves, bends, etc. Another way you can tell is because when the line gets to "2" it lines up with 300 when the line gets to "4" it lines up with 600. That shows that the line is equal all the way through.

thanks for brainly (:

glad I could help!

1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm​

Answers

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

Each figure shows a pair of similar triangles, one contained in the other.
For each pair, describe a point and a scale factor to use for a dilation
moving the larger triangle to the smaller one. Use a measurement tool
to find the scale factor.

Answers

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

https://brainly.com/question/3457976

i really need help with these two questions pleeeaassseeee

Answers

Answer:

10 is B

11 is D

Step-by-step explanation:

six and seven on this wkst!!!!!

Answers

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(* ̄▽ ̄*)ブ

Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 2. 7, negative 0. 9, 1. 1, 3. 2, 5. 4. The third column is labeled predicted with entries negative 2. 84, negative 0. 81, 1. 22, 3. 25, 5. 28. The fourth column is labeled residual value with all entries blank. Does the residual plot show that the line of best fit is appropriate for the data? No, the points are in a curved pattern. No, the points are evenly distributed about the x-axis. Yes, the points are in a linear pattern. Yes, the points have no pattern.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x  Given  Predicted    Residual

1    -2.7         -2.84              

2    -0.9         -0.81            

3     1.1            1.22              

4     3.2          3.25              

5     5.4          5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x  Given  Predicted    Residual

1    -2.7         -2.84             0.14

2    -0.9         -0.81            -0.09

3     1.1            1.22             -0.12

4     3.2          3.25           -0.05

5     5.4          5.28            0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

Read more about residuals at:

https://brainly.com/question/4333650

21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number

Answers

Answer:

209259

Step-by-step explanation:

45200 / 21.6 = 209259.259259

209259.259259 rounded to nearest whole number = 209259

18x-3y=9 Y=6x-3 what is the answer

Answers

Answer:

NP (Not possible)

Step-by-step explanation:

When you find 'X', by inserting '6x-3' into the 'Y', you get:

18x - 3(6x-3) = 9

distribute:

18x -18x + 9 = 9

Subtract 9 from 9 = 0

Add like numbers (the x's), and it equals 0

0=0

You can't find x, rendering the equation 'NP'

Hopefully this answer is right and an option :)

If something cost $37.80, how many tens would you give?

Answers

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

PLS ANSWER URGENT

1. Larry writes a list of numbers that has average 14, median 21 and mode 11

(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?


(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?

Answers

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?

Answers

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.

18 = 620x = 3120

x = 18 x 3120 / 620x = 56160 / 620x=  90

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

5c−4c+c equavilent like terms

Answers

Answer:

yes they are like terms

Step-by-step explanation:

they are like terms as the variables are same 5c-4c+

Hello there!

Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.

Hope it helps.

Good luck with your studies.

Answered by

~A lonely teen who helps people joyfully

Grace

Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid

Answers

Answer:

answer 26

ok now help me

5x – 2y = 30
Complete the missing value in the solution to the equation. (8, ?)​

Answers

Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

i need help as u can tell all the erasing

Answers

Answer:

x=10

Step-by-step explanation:

We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as

6x=5x+10      Then, subtract 5x from both sides

x=10

I'm assuming this is what the question is asking

What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?

Answers

Answer:

[tex]\frac{\pi}{6}[/tex] radians

[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].

As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].

please help Me make sure you put the correct answer

Answers

Answer:

26

Step-by-step explanation:

3*8=24+2=26

what is the slope of a line with points (0,3) and (5,18)

Answers

Answer:

bye

Step-by-step explanation:


The graphs below have the same shape. What is the equation of the blue graph?

Answers

Answer:

B. G(x)=(x-2)^2 + 1

Step-by-step explanation:

the graph shifts two to the right x^2 turns into (x-2)^2

and the y value shifts from 0 to 1 (+1)

together, we get (x-2)^2 + 1

:)

I don't know how to solve this please help.

Answers

Answer:

56 miles

Step-by-step explanation:

Let x is the total distance Sam will travel today

Sam has already biked 12 + x/4 miles

He needs to bike 3x/8 (x.3/8) + 9 miles

12 + x/4 + 3x/8 + 9 = x

21 + x/4 + 3x/8 = x

21 + 2x/8 + 3x/8 = x

21 + 5x/8 = x

21 = x - 5x/8

21 = 3x/8

21.8 = 3x

168 = 3x

x = 168/3

x = 56 (miles)

Answer:

Step-by-step explanation:

Andrew loses
31 pencils in
October
What is the
lose rate per
day?

Answers

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

please ignore the work below it!! i am pretty sure it’s wrong!!

Answers

I’m sorry let me think This is so confusing i’ll try and solve it

Hehehehehsheh help pls need help asap

Answers

Answer:

c

Step-by-step explanation:

hope this helps

Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false

Answers

[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]

[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],

[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]

To classify the statements, we need to evaluate each of them:

[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.

[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]

so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.

[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]

so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers

[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.

Learn more about inequalities here: https://brainly.com/question/24786628

Round each amount to the nearest hundred to find an estimate of:

9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700

Answers

D if the answer
Picture attached
Other Questions
WILL GIVE BRAINLIEST!!Which statement best explains the effectiveness of this introduction paragraph? Over 150 million people use the social media photo application SnapShot. Because this computer application boasts such a high number of users, I believe our school should allow our teachers to use this widely loved photo app in their lessons. A. The introduction is effective because the first sentence helps make the main idea of the essay seem important and fascinating B. The introduction is effective because it establishes credibility by stating the author's intentions C. The introduction is ineffective because it does not clearly explain the author's point of view D. The introduction is ineffective because the background information does not support the main idea Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points) In a series of five albums called The Art of the Trio, the pianist ____________ brought a powerfully meditative approach to pop standards, jazz, classics, and original pieces. he map shows latitudes and longitudes for the state of North Carolina.Which North Carolina city is located at approximately 36.0 N, 78.9 W? Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction. A tree cast a shadow 21 meters long The angle of elevation for the sun is 51 degrees What is the height of the tree? Select the correct answer.A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?A. $1.80B. $0.85C. $0.60D. $0.40E. $0.30 Is oxygen ionic or molecular what was the population of santa claus indiana in 2010 Individuals who have diseases that result in the malabsorption of ________ are at risk for a vitamin D deficiency. A 300 g ball swings in a vertical circle at the end of a 1.3-m-long string. When the ball is at the bottom of the circle, the tension in the string is 13 N.What is the speed of the ball at that point? Ida is constantly looking for love and acceptance from friends and lovers. She has a strong drive to seek these things out due to her basic anxiety which resulted from inadequate parenting during early childhood. Horney would call Ida's approach: A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight if the discriminant is negative how many solutions are there Jenny's great grandmother is 95 years old.Jenny is 12 years old.What percent of Jenny's great grandmother's age is Jenny's age?Hurry! Worth a lot of points! which new state was created as a direct result of the civil war? When you first purchase a notebook, make sure you have a ____ CD containing the installed OS so you can recover from a failed hard drive. Dress:$35.99 tax:6.75% a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to show all four steps Please answer my last two questions