1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
5

PLEASE HELP AS SOON AS POSSIBLE!!!!!!!!!!!!!!!!!! |r+3| ≥7 solve the inequality (please show work and steps )

Mathematics
2 answers:
alexdok [17]3 years ago
6 0
|r+3| = (r+3) when r ≥ -3 so for r ≥ -3
                        r + 3 ≥ 7
                               r ≥ 4
|r+3| = -(r+3) when r < -3 so for r < -3
                     -(r + 3) ≥ 7
                         r + 3 ≤ -7
                               r ≤ -10
The answer to this question is r ≤ -10, r ≥ 4
TEA [102]3 years ago
4 0
So the solution would be:
|r+3| = (r+3)
r + 3 ≥ 7
  r ≥ 4
|r+3| = -(r+3)
  -(r + 3) ≥ 7
   r + 3 ≤ -7
r ≤ -10
So the answer is r ≤ -10, r ≥ 4
You might be interested in
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
lubasha [3.4K]

Answer:

The answer is option C.

<h3>-6, -5 2/5, -4 1/5</h3>

Step-by-step explanation:

The arithmetic sequence is given by

A(n) =  - 6 + (n - 1)( \frac{1}{5} )

where n is the number of terms

<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>

n = 1

So we have

A(1) =  - 6 + (1 - 1)( \frac{1}{5} )

=  - 6 + (0)( \frac{1}{5} )

=  - 6

<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>

n = 4

A(4) =  - 6 + (4 - 1)( \frac{1}{5} )

=  - 6 + (3)( \frac{1}{5} )

=  - 5 \frac{2}{5}

<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>

n = 10

A(10) =  - 6 + (10 - 1)( \frac{1}{5} )

=  - 6 + (9)( \frac{1}{5} )

=  - 4 \frac{1}{5}

Hope this helps you

4 0
2 years ago
On a particular map, 1 inch represents an actual distance of 2.5 miles. the actual area of a lake is 12 square miles. find the a
Anton [14]
We have that
scale factor=1 in/2.5 miles
<span>the actual area of a lake is 12 square miles

</span>we know that
[area on the map]=[scale factor]²*[area actual]
[area on the map]=[1/2.5]²*[12]-----> 1.92 in²

the answer is
1.92 in²

5 0
3 years ago
this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice tha
Pani-rosa [81]

Answer:

\frac{n}{4}-1

Step-by-step explanation:

If we have a pizza that has n slices and we want to split it between 4 friends, then each friend will get \frac{n}{4} slices.

Now, Harris is one of those friends so he receives  \frac{n}{4}  slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of \frac{n}{4}-1.

Hope this helped!

5 0
3 years ago
Read 2 more answers
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad
antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0
3 years ago
Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y
Charra [1.4K]

I assume you mean y_1=t^{-1}, and not y_1=t-1, since this doesn't satisfy the ODE.

Assume a second solution of the form y_2=vy_1, where v is a function of t. Then

{y_2}'=v'y_1+v{y_1}'

{y_2}''=v''y_1+2v'{y_1}'+v{y_1}''

Substituting into the ODE gives

t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0

\implies tv''+v'=0

\implies(tv')'=0

\implies tv'=C

\implies v'=\dfrac Ct

\implies v=C_1\ln|t|+C_2

\implies y_2=\dfrac{\ln t}t

where we omit the second term because it's already accounted for by y_1.

3 0
3 years ago
Other questions:
  • What is the estimated sum? Round each addend to the nearest thousand before adding. 75,364 + 472,756 . A. 550,000 B. 548,000 C.
    8·1 answer
  • Use abc to find the value of sin a
    12·1 answer
  • In order from least to greatest -3/8 5-16 -0.65 2/4
    15·1 answer
  • I need help on this one too
    13·2 answers
  • Select all of the rational numbers. (there can be more than one)
    14·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
    15·2 answers
  • Answer this please, best answer gets brainliest!
    11·1 answer
  • Read each statement then select whether it is true or false.
    6·1 answer
  • Which is greater -3/4 or -13/16​
    6·1 answer
  • give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!