What are some rules you need to know when solving absolute value inequalities and equations?

Answers

Answer 1

Answer:

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

Step-by-step explanation:

hope this helps!

Answer 2

Answer: -absolute value inequalities work two ways, not 1

-if it's greater than anything less than 0, then the solution is all real numbers

- if it's less than zero, there is no solution

-dividing by -1 flips the sign

Step-by-step explanation:

These are just some of the rules that I know


Related Questions

7) A different stock loses half of its value every 2 months. If the original price was $128,
how much is it worth after 14 months.

Answers

after 14 months it’s worth $1

Negative one plus negative four

Answers

Answer:

-5

Step-by-step explanation:

-4+(-1) A negative number added by another negative number will stay negative.( like a positive number by a positive will be positive.)

1. Doug digs a hole that is 1.7 feet below ground
level. He plants a bush that is 3 2/10 feet tall from
the bottom of the root to the top branch. How
much of the bush is above the ground?

Answers

Answer:

1.5 feet of the Bush is still above ground

Step-by-step explanation:

3 2/10= 3.2

3.2-1.7=1.5

Kayla works in a shoe store and is paid a 12% commission on her sales. In January, her sales total was $3,740. About how much did Kayla earn in commission for January?

Answers

Answer:

Kayla had $3,740 x .12 = 448.80 by January.    

Step-by-step explanation:

Idk wby it sets it up so weird in word form so imma just put this here

Answers

Answer:

141/2, 279/4

Step-by-step explanation:

Answer: wow ur right like ummm

Step-by-step explanation: wby lol

Shalah mowed 12 lawns in 3 hours. What is her RATE? *
help me plz

Answers

Answer: I think the answer is 4 because usually when you find the rate of something it means you divided the two numbers or however many numbers you have... So, 12 divided by 3 is 4...  So, 4 hours for each lawn she mows... or something like that... So, 4 lawns per hour...

Final answer is 4 lawns per hour... If this isn't the correct answer i am very sorry... Stay safe and have a great weekend!!! :D

Answer:

4 lawns per hour

Step-by-step explanation:

4 lawns per hour or 1  lawn per 15 mins.

12/3 is the unit rate so 4/1.

Hope this helps plz hit the crown :D

The top of a 16-ounce can of a drink is three times thicker than the sides and bottom (so that the flip-top opener will work properly), and the can has a volume of 473 cubic centimeters. What should the radius and height of the can be in order to use the least possible amount of metal? [Assume that the entire can is made from a single sheet of metal, with three layers being used for the top.]

Answers

r=3.35cm ; h=13.41 cm

Y + 196355
I NEED TO VENT PLEASEEEEE HELP

Answers

y+196355 equals y+196355 or 196355y

but most likey it just stays the same

Answer:

196355y

Step-by-step explanation:

you can vent to me

can u help me thank you

Answers

Answer:

I believe the answer choice you already selected is correct.

Answer:

The slope is 2.

Step-by-step explanation:

(0,-5),(20,35)

m=y²-y¹/x²-x¹

m=35-(-5)/20-0

m=40/20

m=2

Jania makes $30,000 per year. Income tax is 32% of her total income. How much does she pay in taxes?

Answers

Answer:

9,600

Step-by-step explanation:

You take 32% of 30,000 and boom

A nutritionist wants to study the effects of storage time
(6, 12, & 18 months) on the amount of vitamin C present
in freeze dried fruit. Vitamin C is measured in milligrams
per 100 milligrams of fruit. Six fruit packs were randomly
assigned to each of the three storage times.
The treatment is ?

Answers

Answer:

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

Step-by-step explanation:

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean,    =269.8/10=26.98

Sample Variance,     =1859.496/9=206.610667

Sample std dev,s==√206.610667≈14.373958

We want to test two tailed hypothesis:

: σ=12

: σ≠12

Given: s=14.373958⇒  =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by   with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, =3.325  and =16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject    if ≤3.325  OR ≥16.919

Test statistic is given by  =((9)*206.610667)/144=12.913167    

Test statistic, =12.913

since test statistic is between two critical values, we (do not reject ) (i.e, we fail to reject .

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject  if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject ) (i.e, we fail to reject ).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

write an inequality to represent the product of x and 7 is at least 15

Answers

Answer:

[tex]7x\geq 15[/tex]

Step-by-step explanation:

This problem lays out pretty clearly what needs to be done.

First, we know that we are writing an inequality.

Then, it tells us that we need 'the product of x and 7'. A product is the result of multiplication, so we can multiply 7 and x together to get 7x.

Next, it tells us that the product (7x) is at least 15. At least means that the product has to greater than or equal to 15. That clue tells us which inequality symbol will be used.  

Put it all together and:

[tex]7x\geq 15[/tex]

Hope this helped!

A student factors a^6 - 64 to (a^2-4)(a^4 + 4a^2+ 16).
Which statement about (a^2 - 4)(a^4 + 4a^2 + 16) is correct?

Answers

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

edge 2020

CAN SOMEONE HELP ME ! Please and thank you.
A car dealership likes to have 4 blue cars on the lot for every 3 white cars. At this rate, how many white cars will be on the lot when there are 16 blue cars?

Answers

Answer:

12 white cars

Step-by-step explanation:

Our ratio is 4:3

16:?

We can determine white cars by dividing 16/4 to find how many more cars we have than our original ratio.

16/4 = 4

3 x 4 = 12

16:12 = 4:3

Answer:

Step-by-step explanation:

15

Mrs. Barnes gave her class 30 minutes of
recess after lunch. Rachel and Diamond
spent 4 minutes on the monkey bars, 7
minutes jumping rope, and 5 minutes
playing tag. How much longer do they
have for recess?

Answers

14 minutes left on the playground.

Answer:

14

because 4plus 7 plus5 equealas 16 and 30 minuse 16 equals 14

Hello!!!!! Could someone please explain to me in a simple manner what the slope intercept form is as well as what the point slope form is? Are they the same thing? What does form mean? Thank you soooo much in advance!!!

Answers

Answer:

Step-by-step explanation:

They're both ways of expressing the equation of a line. Depending on the information you're given, it's easier to use one or the other. Like if you're given the slope and y intercept, it might be easier to use slope intercept equation. If you're given 2 points on a line, it might be easier to calculate the slope between them and then use the pointslope equation using one of the two points given to find the euqation of the line. Let me know if there's more I need to clarify

Can somebody help me with this math question plz

Answers

Step-by-step explanation:

hope this helps, happy learning!!!

X-2
——=5
3
I am supposed to solve for x but I have no clue how

Answers

Answer:

4

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Nice set up. It's very clear.

Multiply both sides by 3

3(x-2)

===== = 5 *3

  3

Cancel the 3 on the left. Combine the right.

x - 2 = 15

Add 2

x - 2 + 2 = 15 + 2

x = 17

==============

(17 - 2) / 3

15/3

5  

The right hand side is also 5

How did the temp. change if at first it increased by 25% and then decreased by 40%?

Answers

Answer:

The temperature would have dropped 15 degrees so it would have been colder

Step-by-step explanation:

im so counfused right now please help
For the equation 6 - m = 3, how many solutions are there for m?

0
1
infinite
2

Answers

Answer:

1.

Step-by-step explanation:

The only way to get 3 as an answer to (6-m) is if m were to equal 3. Think about how many numbers can you replace m with to make the statement true. For example, try putting 1 as your m and see if it works. 6-1=3 -> 5=3. as you can see, this statement isnt true. The only solution that would work to make this statement true is one number, 3. Hope this helps.

Ex plane how knowing 50 x 4 = 200 helps you find 500 x 400

Answers

u count how many zeros are in each of the problems then u multiply the whole number and add the zeros to the end

example 500 x 400 = 200000 because 5 x 4 is 20 and 500 and 400 have 2 zeros each so u add 4 zeros to 20 so 200000
because you do 5 times 4 just like you would with the first one and just bring the zeros down from the 500 and 400

What is the constant of proportionality?

Answers

Answer:

To find the constant of proportionality we use the formula k= y/x so we have k=20/500 =0.04

Step-by-step explanation:

Evaluate the expression x + 3y - 4(z - 3) when x = 4, y = 6 and z = 5

Answers

Since they already gave you the variables’ values just plug in.
4 + 3(6) - 4(5 - 3)
First solve what is inside the parenthesis.
4 + 3(6) - 4(2)
Then simplify.
4 + 18 - 8
Use PEMDAS.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
4 + 18 = 22
22 - 8 = 14
The answer is 14.
Hope I helped:)

PLS IT'S DUE!!
The longer leg of a 30⁰-60⁰-90⁰ triangle is 5√3 . Find the length of the hypotenuse.

explain how you got it.

Answers

Answer:

The answer is 10

Step-by-step explanation:

The longer leg of this triangle is √3 times longer than the shorter leg. Since the longer leg is 5√3, then the shorter leg will be 5. The hypotenuse is twice the size of the shorter leg, so 5*2 is 10.

Similar Triangles, find value of X

Answers

The ratio of the hypotenuse and the base leg is 3:5, which means that x must be equal to 15*5/3=25

A recipe requires 7/8 stick of butter for each 1 1/4 cups of flour. Find the unit rate of sticks of butter to cups of flour.

Answers

Let R = unit rate

R = (7/8) ÷ 1_1/4

R = (7/8) ÷ (5/4)

R = (7/8) • (4/5)

R = (7/2) • (1/5)

R = 7/10

Which expression is equivalent to 350−−√⋅22−−√?




1522−−√

1511−−√

3022−−√

3011−−√

Answers

Answer:

it looks like d to me

Step-by-step explanation:

Answer:

The answer is D. [tex]30\sqrt{11}[/tex]

good luck!

IM IN A TIMED TEST 30 MIN LEFT

Which is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Answers

Answer:

d

Step-by-step explanation:

Answer:

On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).

Step-by-step explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For

x=0

0−2y=6

−2y=6 then divide it by -2

y=(0.-3)

second point:

x−(2⋅0)=6

x−0=6

x=(6,0)

Select the sequences that are geometric.
18, 36, 54, 72,...
4.1, 8.2, 16.4, 32.8,...

Answers

answer:

Both sequences are geometric

Step-by-step explanation:

because both have common differences of 2 times

Answer:

4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

Step-by-step explanation:

Given the first sequence

18, 36, 54, 72,...

we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).

Computing the ratios of all the adjacent terms:

[tex]\frac{36}{18}=2,\:\quad \frac{54}{36}=1.5,\:\quad \frac{72}{54}=1.33333\dots[/tex]

As the ratio is not constant.

Hence, 18, 36, 54, 72,... is NOT the geometric sequence.

Given the second sequence

4.1, 8.2, 16.4, 32.8,...

we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).

Computing the ratios of all the adjacent terms:

[tex]\frac{8.2}{4.1}=2,\:\quad \frac{16.4}{8.2}=2,\:\quad \frac{32.8}{16.4}=2[/tex]

As the ratio of all the adjacent terms is the same (constant ratio).

Hence, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

Therefore, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

f(t) = t² – 2t; Find f(-7)

Answers

Answer:

f(-7) = 63

General Formulas and Concepts:

Order of Operations: BPEMDAS

Substituting and Evaluating

Step-by-step explanation:

Step 1: Define

f(t) = t² - 2t

f(-7) is t = -7

Step 2: Solve

Substitute:                         f(-7) = (-7)² - 2(-7)Exponents:                        f(-7) = 49 - 2(-7)Multiply:                             f(-7) = 49 + 14Add:                                   f(-7) = 63
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