solve the compound inequality

Solve The Compound Inequality

Answers

Answer 1

Answer:

Given inequality:

-5r + 7 ≥ -7 - 6r ≥ 4r + 3

Solve in parts:

-5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14 -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1

Combine into one:

-14 ≤ r ≤ -1

or

r = [-14, -1]

Related Questions

Marina picked X apples in Orchard she and her friends 86 then leaving 36 Apples The number of apples can be represented by the equation X -6 equals 36 plot a point on the number line to represent X

Answers

Answer:

[tex]x = 42[/tex]

See attachment for number line (see that the dot is on 42)

Step-by-step explanation:

Given

[tex]x - 6 = 36[/tex]

Required

Plot x on a number line

First, we solve for x

[tex]x - 6 = 36[/tex]

Add 6 to both sides

[tex]x - 6 +6= 36+6[/tex]

[tex]x = 42[/tex]

See attachment for number line

What is the volume of this prism?

Answers

Answer:24

Step-by-step explanation:

LxWxH = 4x2x3

4x2 = 8

8 x 3 = 24

N + 6 < -1 what is the solution to the inequality

Answers

Answer:

N<-7 or (-∞,-7) hope this helps

-x^2+6x-5=f(x)
find the vertex and x/y intercepts

Answers

x-intercept : (5,0) , (1,0)
y-intercepts : (0,-5)

please help! i have a certain amount of time. i'll give brainliest

Answers

Answer:

86ft²

Step-by-step explanation:

3x2/2=3

3x2/6=3

10x2.5=25

10x2.5=25

3x10=30

30+25+25+3+3=86

On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.

If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?

Answers

Where’s the map at homie?

Step-by-step explanation:

How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.

Answers

Answer:

4410

Step-by-step explanation:

What is the area of these trapezoid

Answers

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

8. Mystery Number: a number is multiplied by 5. The product is then added to 11. The square root of that sum is equal to 9. Find the number. Show your work or steps.​

Answers

Answer:

14

Step-by-step explanation:

14x5=70

70+11=81

√81=9

Can anybody help me with this problem?

Answers

Answer:

$830

Step-by-step explanation:

x/2=200+215

x/2=415    multiply by two on both sides to get x alone

x=830

can someone helppp!! i will guy brainlist if it’s right!

Answers

Answer: 12.75

Step-by-step explanation:

10.25+ .50(5)=12.75

In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

A central angle of a circle that measures 2 radians intercepts an arc of length 10 cm. What is the length of the radius?
5 cm
10 cm
15 cm
20 cm

Answers

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle [tex] (\theta) [/tex] = 2 radians

We need to find: radius of the circle (r)

[tex] \because S = r \theta [/tex]

[tex] \therefore 10 = r(2) [/tex]

[tex] \therefore r= \frac{10}{2} [/tex]

[tex] \therefore r= 5\: cm [/tex]

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
7, 12, 17
Find the 34th term

Answers

The 34th term of the sequence is 172

Arithmetic sequence

This is a type of sequence which have a common difference (d) between each term

How to determine the 34th term of the sequence

From the question given above, the following data were:

Sequence => 7, 12, 17First term (a) = 7Common difference (d) = 12 – 7 = 534th term (T₃₄) =?

T₃₄ = a + 33d

T₃₄ = 7 + (33×5)

T₃₄ = 7 + 165

T₃₄ = 172

Learn more about arithmetic sequence:

https://brainly.com/question/24873057

The 34th term of the sequence is 172

Sequence and series

Given the sequence 7, 12, 17...

The nth term of the sequence is expressed as;

Tn = a + (n-1)d

Given the following

a = 7

d = 12 - 7 = 5

n = 34

Substitute the given parameters

T34 = 7 + (34 - 1)*5

T34 = 7 + (33)*5

T34 = 172

Hence the 34th term of the sequence is 172

Learn more on sequence here: https://brainly.com/question/6561461

Sarah is going on a trip. She drives for 1 hours and 40 minutes, rests for 25 minutes and drives for another 1 hours 45 minutes. What is her total travel time in hours and minutes

Answers

Answer:

3 hours and 50 minutes

Step-by-step explanation:

Given that

Sarah drives for 1 hours and 40 minutes

And, rest for 25 minutes

And, then drive for another 1 hour & 45 minutes

We need to find out the total travel time in hours and minutes

First we convert into minutes i.e.

= 1 hour + 40 minutes + 25 minutes + 1 hours + 45 minutes

= 60 minutes + 40 minutes + 25 minutes + 60 minutes + 45 minutes

= 230 minutes

i.e.

3 hours and 50 minutes

Question 4 of 10
Which of the following is equal to 9•4 ?
O A.
O B. V.4
O C. 36
O D. 18

Answers

Answer:

36

Step-by-step explanation:

9x4=36

The answer to this question is 36

On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the
number of burritos sold. Pizza sold for $2.50 a slice and burritos sold for $3.00 each. The cafeteria collected a total of
$358 for selling these two items. Homework Help
a. Write two equations with two variables to represent the information in this problem. Be sure to define your
variables by writing let statements.
b. Solve your system from part (a). Then determine how many pizza slices were sold.

Answers

Answer:

82

Yes, that is the answer. Try it and you'll get it correct, I think...

Classify this triangle by its sides and angles.

Answers

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

how many ways can 5 friends sit together at the movies in 5 seats?

Answers

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

120

Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.

In October Sally drove 560 miles in her car.
The car travelled 34.5 miles for each gallon of petrol used.
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October

Answers

Answer: £80

Step-by-step explanation:

First, we need to calculate the number of gallons used by Sally. This will be:

= 560 / 34.5

= 16.23 gallons

Since 1 gallon = 4.55 litres, we calculate the number of liters and this will be:

= 16.23 × 4.55

= 73.85 liters

Since Petrol cost £1.08 per litre, the cost of the petrol will be:

= £1.08 × 73.85

= ££79.758

= £80 approximately

does anyone know the surface area of this pyramid?

Answers

Answer:

217

Step-by-step explanation:

1/2 * 12 * 7 = 42 this is one side of the pyramid

4x for all sides = 168

add the bottom which is just a square 7*7 = 49

168 + 49 = 217

HELP ME PLEASE ............................

Answers

you need to isolate y
y = 37/5 or y = 7.4

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Answers

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica

Answers

Answer:

el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

width is 8 meters and length is 3*8= 24 meters

Step-by-step explanation:

Spanish

Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.

Entonces el área = largo * ancho

área = 3x * x = 3x²

3 multiplicado por área = 9x²

9x² = (3x + 40) (x + 1)

9x² = 3x² + 3x + 40x +40

9x² = 3x² + 43x +40

0 = -6x² + 43x +40

0 = 6x²- 43x - 40

6x²- 43x - 40 = 0

Usando ecuación cuadrática

a = 6, b = -43, c- = -40

x = - b ± √b²- 4ac / 2a

x = 43 ± √1849- 4 (6) (- 40) / 12

x = 43 ± √1849 + 960/12

x = 43 ± 53/12

x = 43+ 53/12 y x = 43-53 / 12

x = 96/12 y x = -10/12

x = 8 y x = - 5/6

Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

English

The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled

If the width of the house of the house is x then the length of the house is 3x.

Then the area = length * breadth

area= 3x*x= 3x²

3 times area= 9x²

9x²= (3x+40 )(x+1)

9x²= 3x²+ 3x +40x +40

9x²= 3x²+ 43x  +40

0 = -6x²+ 43x  +40

0 = 6x²- 43x - 40

6x²- 43x - 40= 0

Using quadratic equation

a= 6 , b= -43 , c-= -40

x= - b±√b²- 4ac/ 2a

x= 43±√1849- 4(6)(-40)/ 12

x= 43±√1849+960/ 12

x= 43± 53/ 12

x= 43+ 53/ 12  and x= 43- 53/ 12

x= 96/ 12       and x= -10/ 12

x= 8    and x= - 5/6

Ignoring the negative value  x= 8  width is 8 meters and length is 3*8= 24 meters

please help, thank you!

Answers

Answer:

Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.

Write an equivalent expression for 3(2x + 4y).

Answers

Answer:

6x+12y

Step-by-step explanation:

I hope this helps, and STAYYY!!!!!! Fresh!

(1, 1/4), (0, 1), (-1,4), (-2, 16)
linear or exponential or neither

Answers

Answer:

exponential

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

You can look at the values and see that they multiply by 1/4 each time. You can also plug the value into a graphing calculator.

PLEASE HELP!!!!!!!!!!!!

Answers

Answer:

1.  10√3

2. -√5

3. 21√3 -9√5

4. 12√7-√11

5. 8√5-3(√5*√4) = 8√5- (3*2)√5= 2√5

6. √5*√4 -√5= 2√5-√5= √5

7. 3√5*√9 +√5*√4 -√49*√5 = 15√5+2√5-7√5= 10√5

8. √6*√4 - √6*√9 + √16*√6= 2√6-3√6+4√6= 3√6

Hope it helps you :)

Fiona is seven years less than twice the age of Carlos. The combined age of
Fiona and Carlos is 53 years.
Which of the following systems of equations represents the situation?
A.F= 2C – 7
C+F = 53
B.C= 2F - 7
C + F = 53
C.F = 53 – 7
C + F = 2C

How old is fiona and how old is Carlos

Answers

It’s C. Carlos is 20 and Fiona is 33.

Classify this triangle by its sides and angles.

Answers

Answer:

choice 3) acute and equilateral

Step-by-step explanation:

Acute + Equilateral
Other Questions
Which of the following is NOT a cause of World War II?O Worldwide depressionO Hitler following the Treaty of VersaillesO Rise of DictatorsO The League of Nations was weak True or false ???Help please Q1. Helmut rides 5km in 2h on his bike. His speed was *a) 10km/hb) 2.5km/hc) 0.4km/hd) 2.5kmQ2. A plane is travelling at 250km/h and must reach a target that is 3h 58min away. The distance to the target is. *a) 1000kmb) 89500kmc) 62.5kmd) not enough information What do I do.500.34 + 4333 Please help! Needed ASAP Identify two reasons why the United States sent $13 billion in aid to Western Europe in the Marshall Plan. What would happen if we do not eat body building food? Select all of the mixtures:oxygengoldtrail mixsoup air pls help due tonight Despus de los dos huracanes no pudieron usar la playa. A) La erosinDespus del maremoto perdieron su garaje. B) El volcnEl gobierno pidi salir lejos de las casas antes de la erupcin. C) La inundacinUsaron un barco para asistir a las personas encima de las casas. D) Los daos a la propiedadplease put in order that it's suppose to be in I need help ...please seriously A donut shop made 32 chocolate donuts one morning. The chocolate donuts were 40% of the total number of donuts made that morning. How many donuts were made, in all Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solvefor x?3x+5x43x+4-5x3x +4+5x3x-4-5x The headline below describes an event in U.S. history. TRUMAN WIPES OUT SEGREGATION IN ARMED FORCESSource: Library of Congress Which public policy view is reflected in the headline?Immersive Readerracial discriminationracial prejudiceracial toleranceracial equality Part A: Based on the samples, which student generally has higher quiz scores? A. Kari, because the mean and median of her scores is 84.5. B. Jocelyn, because the interquartile range of her scores is 9. C. Jocelyn, because she had a maximum score of 95. D. Kari, because the range of her scores is 18. 1/4e = 12 help plssss The photographs could be used to make the argument that a Modern factories only employed womenb. Women took jobs in factories because the wages were higher than traditionaloccupations for women. Nationalism motivated women to support the war effort by taking jobs they hadnot traditionally held. d. Starting in the early twentieth century women started to become the main wage earners in most families. A 5ft tall girl is standing 13ft from a 15ft tall lamppost. How long is her shadow? How did the physical environment shape Roman society? How did the Spartan government differ from the government in Athens?It lacked a uniform system of laws and punishments.It guaranteed more civil rights to male citizens.It had a more democratic, representative government.It placed more emphasis on military discipline and training.