Solve the inequality. Graph the solution

Solve The Inequality. Graph The Solution

Answers

Answer 1

Answer:

1.  y > -3/5 and y < 7/5        Direction to  graph 1 below.

2. r > 1 and r < 13/3              Direction to  graph 2 below

Step-by-step explanation:

|5y - 2| + 5 > 0

Case 1    Positive ||                                 Case 2  Negative ||

5y - 2 + 5 > 0                                       -(5y - 2) + 5 > 0

5y +3 > 0                                             -5y + 2 +5 > 0

5y > -3                                                  -5y + 7 > 0

y .> -3/5                                               -5y > -7

                                                             -y > -7/5

                                                             y < 7/5   y value negative, change sign

The graph 1: open circle at -3/5;  close circle at 7/5; shade between these two numbers.  

2.    |8-3r|< 5

       Case I                                           Case II

8 - 3r < 5                                                   -(8-3r) < 5

-3r < 5 - 8                                                   -8 + 3r < 5

-3r < -3                                                         3r < 5 + 8  

-r < -3/3                                                        3r <  13

r >1       r is negative, change                        r < 13/3

            the direction of the sign

Graph 2: Open circle at 1; open circle at 13/3;  shade between the two numbers.                    

   


Related Questions

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

HELP ASAP!! Im being timed!!

Answers

Answer:

im pretty sure its a

Step-by-step explanation:

3х – 8y = — 16
=
M
So yeah I kinda need help

Answers

Answer:

3x-8y-16  = 0

Step-by-step explanation:

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charged 2.49 for each ice cream cone and 24.99 for a birthday cake Jenna decides to buy a birthday cake and an ice cream cone for each of her friends. Jenna needs to determine the total cost for her birthday party.

Answers

Answer:

multiply the cost of the ice cream cones by the amount of friends then add the cost of the birthday cake.

example: (2.49 × n) + 24.99 = a

I would give you an answer but I dont have enough information, I'm sorry for the inconvenience.

5%x52?524526235+36285

Answers

Answer:

The answer is 7,878,684,378

LOL

Step-by-step explanation:

The price of a technology stock has dropped to $9.63 today. Yesterday's price was $9.74. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

I belive the answer is 10

Step-by-step explanation:

$9.74

$9.63

_____

$0.11 rounded to the nearest thenth of a percent is 10

Answer:= ( -$0.09 / $9.63 )*100%

                      ≅ -0.9 %     (note: -0.9% means 0.9% decrease)

Step-by-step explanation:

Please help me if can, tysm

Answers

Square root of 4096 is 6.4 so the answer is 64 + 6.4 = 70.4.

Answer:

70.4

Step-by-step explanation:

the aquare root of 40.96 is 6.4

so,64+6.4=70.4

20 POINTS !!!!!!!!!
Solve the quadratic equation by completing the square.
x^2 - 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            

If f(x)= 3x-2 find x if f(x)= 19

Answers

Answer:

19= 3x-2

3x= 21

X= 7

Step-by-step explanation:

Hope it helps!!

Plzzz help!! just atleast look at my question!! plzz I really need help!

Answers

no

Step-by-step explanation:

-2 - -3 doesn't equal -5

Answer:

no

Step-by-step explanation:

-2 - -3 = 1 not 5

Find the iterative rule for
a1=4; an=1/3·an−1

A.) an=1/3•4^n
B.) an=1/3•4^n-1
C.) an=4•(1/3)^n
D.) an=4•(1/3)^n-1

Answers

Answer:

D.) a(n) = 4 * (1/3)^(n-1)

Step-by-step explanation:

a(1) = 1/3 * a(1-1) = 1/3 * a(0) = 4, so that

1/3 * a(0) = 4

a(0) = 12.

Answer choice D.) is such that a(0) = 4 (1/3)^(0-1) = 4*(1/3)^(-1) = 4 * 3 = 12, and assuming that the problem is well posed (i.e., exactly one of the answer choices is correct), we deduce that D.) is the correct answer choice.

 

Divide. Express your answer in simplest form. 2 1/2 ÷ 2 1/6

13/15 5 5/12 26/30 1 2/13

Answers

Answer:

[tex] \frac{15}{13} = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

[tex]2 \frac{1}{2} \div 2 \frac{1}{6} \\ \\ \\ \frac{5}{2} \div \frac{13}{6} \\ \\ \\ \frac{5}{2} \times \frac{6}{13} \\ \\ \\ \frac{5}{1} \times \frac{3}{13} \\ \\ \\ = \frac{15}{13} \\ \\ \\ = 1\frac{2}{13} [/tex]

I hope I helped you^_^

Answer:

[tex]2 \frac{1}{2} /2 \frac{1}{6} = \frac{5}{2} / \frac{13}{6} [/tex]

[tex] = \frac{5}{2} \times \frac{6}{13 } = \frac{5 \times 6}{2 \times 13} [/tex]

[tex] = \frac{5 \times 3}{1 \times 13} [/tex]

[tex] = \frac{15}{13} [/tex]

[tex] = 1 \frac{2}{13} [/tex]

Step-by-step explanation:

Thank you!!!!!!!!!!!

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)

Answers

7249jwnsnjdkwlskjeiwiwo1ñwlld

Answer:

I think it's about 15 to 22.

Step-by-step explanation: So first I checked the length for the unknown number and I added the 12 and 10 together but that didn't work and so i'm just estimating the number for x yo.

Sorry if I didn't helped you yo.

-9 + ( -16) =

( -4) – (-6) + (-5) – (8) =

( 3) – (-9) + (-3) – (-2) =

- ( 5) – (-7) + (-8) =

- ( -8) – (-9) + (-4) – (-1) =

( -5) – (-11) + (10) – (8) =

( -1) – (-2) + (-3) – (-6) =

( -4) – ( 4) – (6) + (-5) – (-8) =

(-6) + (-5) – (-8) =

Answers

Answer:

-9 + ( -16) = -25

( -4) – (-6) + (-5) – (8) =-11

( 3) – (-9) + (-3) – (-2) =11

- ( 5) – (-7) + (-8) =-6

- ( -8) – (-9) + (-4) – (-1) =14

( -5) – (-11) + (10) – (8) =8

( -1) – (-2) + (-3) – (-6) =4

( -4) – ( 4) – (6) + (-5) – (-8) =-11

(-6) + (-5) – (-8) =-3

Step-by-step explanation:

Hope it helps

Answers:

-9 + ( -16) = -25

( -4) – (-6) + (-5) – (8) = -11

( 3) – (-9) + (-3) – (-2) = 11

- ( 5) – (-7) + (-8) = -6

- ( -8) – (-9) + (-4) – (-1) = 14

( -5) – (-11) + (10) – (8) = 8

( -1) – (-2) + (-3) – (-6) = 4

( -4) – ( 4) – (6) + (-5) – (-8) = -11

(-6) + (-5) – (-8) = -3

Which is the correct label of the parallel lines?

Answers

the answer is a || b, or the first option

Find the domain and range of the function

Answers

Step-by-step explanation:

using set notation

domain [-3,3]

range[-1,3]

Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2

Answers

x – 4y < 4

x - 4 < 4y

1/4x -1
it is y > so the area is above the line y = 1/4x -1 so D is not right


second one

y < x + 1

What is the 50th term of the linear sequence below? 27 , 25 , 23 , 21 , 19​

Answers

Answer:

-73 sorry if im wrong

Step-by-step explanation:

find nth term but replace n with 50 equation is -2n+27

Simplify.

15 20 24+20

Answers

Answer:

-5 divide by 28

Step-by-step explanation:

so the question supposed be " 15-20 divided by 2(4) + 20

15-20 which is also 15 + (-20)= -5

2(4)=8, 8+20=28

so it can simplify into -5 / 28

(hope it helps :)

The product of four and a number C is decreased by five?



Answers

C(2)2)2!2$262?2)2)2bsbahah

√80+√20 find it ......​

Answers

Answer:

Approximately 13.41

Step-by-step explanation:

First do square root of each, which is finding what number multiplies by its self to get the number.

For example: The square root of 80 is approximately 8.94, and the square root of 20 is approximately 4.47.

So: 8.94 + 4.47 = 13.41 (Add normally, but remember to put the decimal in the right place).

Hope this helped :)

Is each number correctly expressed in scientific notation? Choose Yes or No.
Number Scientific Notation
4,836,000,000 4.836 × 106
Choose...
0.0000005812 5.812 × 10–7
Choose...
546,000,000,000 5.46 × 1011
Choose...

Answers

Answer:

NoYesYes

Step-by-step explanation:

The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]

A drill press operator requires 1 2/3 minutes to drill through 1 inch of steel. How long will it take him to drill through four-fifths inch of the same steel?

Answers

Answer: It will take him 1.3

Step-by-step explanation:

1 2/3 divided by 5 is 0.333

0.333 times 4 is 1.3

ΔABC is similar to ΔDEF. The length of segment AC is 12 cm. The length of segment BC is 18 cm. The length of segment DF is 10 cm.

What is the length of segment EF?
Question 1 options:

15


14


10


9

Answers

Answer:

It's 15

i took the test

Step-by-step explanation:

what is the circumference of a circle that has a diameter of 15m?
a.) 47.1m
b.) 23.55m
c.) 94.2m
d.) 50.3m​

Answers

Answer:

47.1

Step-by-step explanation:

c=pie d

c=3.14×15

47.1

Answer:

Step-by-step explanation:

So, as you know u got a the diameter.

-Given:

d = 15.

circle (Pi) = 3,14159265359 (But we use always 3.14)

Find: we need to find circumference.

C=Pi * d = 3,14 * 15 = 47,1m.

I hope this answers your question, sir.

Hi plz answer this I'll give u more points if u do

Answers

Answer:

6 feet in the distance

Step-by-step explanation:

i need the answer!!! help

Answers

Answer:

30517578125

Step-by-step explanation:

a video store is selling previously owned dvds for 40% off the regular price of $15. what is the sale price of the dvds.

Answers

Answer:

$9

Step-by-step explanation:

A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?

40% = 0.4

15 * 0.4 = $6 (Discount)

15 - 6 = $9 (Sale Price)

Therefore the Answer is: $9

3x(6x + 5)
4x(2x-3y)

Answers

Step-by-step explanation:

1) 3x(6x+5)

= 18x+15x

= 33x Answer

2) 4x(2x-3y)

= 8x-12xy Answer

Cannot be solved because it has unlike terms

Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.

Answers

Answer:

9x

Step-by-step explanation:

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