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

What form is this quadratic? f(x)=2x^2+5x-10​

Answers

Answer:

I hope that you thought so.

I recommend to you: Photomath

combine like terms 23x + 3y -5x​

Answers

Answer:

18x + 3y

Step-by-step explanation:

23x - 5x combine to 18x.  

Then the given expression becomes 18x + 3y.

Answer:

18x+3y

Step-by-step explanation:

After 10 weeks of work, bob has $1200. After 15 weeks of work Bob has $1800. After 20 weeks of work Bob has $2400. Write the firs four terms of a sequence that represents this situation. Writ and equation to model the situation

Answers

Answer:

1200,1800,2400,3000

5x = 600x

Step-by-step explanation:

The first four terms would be

1200,1800,2400,3000

As we can see that

After 10 weeks of work bob has $1200

After 15 weeks of work, bob has $1,800

So the more the weeks would be, the more the earnings it is

And, the difference of the earnings is

= $1,800 -$1,200

= $600

The equation would be

5x = 600x

So if we assume x = 1

So

5 = 600

if we assume x = 2

So

10 = 1200

and so on

HELP PLEASE! THANKS :)

Answers

Answer:

If im not wrong, it has to be "How much does your dog weigh"

Step-by-step explanation:

HELP HELP OH PLS YES PLS HELP​

Answers

Answer:

270 minutes.

Step-by-step explanation:

30d

d=9

30x9= 270

270 minutes.

plz mark me as brainliest. :)

Mike is 6.2 feet tall and casts a shadow that is 10.7 feet long. At the same time, a tree casts a shadow that is 37.5 feet long. How tall is the tree to the nearest tenth of a foot?

Answers

Answer:

I think it's 38

9000 is perfect square number?​

Answers

Step-by-step explanation:

no it's not.....

........

Answer:

no

Step-by-step explanation:

there should always be even number of 0 if it wants to be a perfect square.

3 * 3 =9

30 * 30 =900. .......(2 0's)

300 * 300 = 9000...(4 0's and so on)

9000 does not meet this criteria so it isn't a perfect square.

1.
Kenneth's garden is in the shape of a rectangle. The length is
20 feet and it has a perimeter of 70 feet, How long is the
diagonal of his garden.

Answers

Answer: I'm pretty sure it's 25

Step-by-step explanation:

Use Pythagorean theorem to find diagonal.

please help hghjhghjjgfhjjjfhgfhbfhgkfgh

Answers

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

C because there are 5 white marbles and 5x3=15 which is the number of black marbles.

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent show that quadrilateral ABCD is a parallelogram by finding the length of the opposite side pairs

Answers

Answer:

D. 21, 14

Step-by-step explanation:

As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.

21 = 3y

/3    /3

7 = y

y + 7 = 2y

-2y     -2y

-y + 7 = 0

   -  7  - 7

-y = -7

* -1  * -1

y = 7

In both instances, y = 7. Now let's substitute that.

21 = 3(7)

21 = 21 is true.

7 + 7 = 2(7)

14 = 14 is true.

With that, the lengths of the opposites sides are 21 & 14, which is D.

a bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is red? Make sure to reduce your answer. 25 points if you answer help pls :/

Answers

Answer:

40% chance

Step-by-step explanation:

4 marbles out of 10 are red. 4/10= 0.4= 40%

Answer: 2/5

Step-by-step explanation: If there're 10 marbles and 4 of them are red, then the probability of it being red is 4/10.

To reduce or simplify it, you must divide both 4 and 10 by 2, leaving you with 2/5.

:)

Help meee plzzzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

At the numerator we have to put 8, while at the denominator we have to put 26

8/26

now we can simplify the fraction by dividing both numerator and denominator by 2

(8:2)/(26:2)

4/13

Answer:

The answer is D

Step-by-step explanation:

4/46in simplest form

Help me pls TwT I am terrible at math

Answers

Answer:

It should be B:)

Step-by-step explanation:

Find the area of the composite figure. Show your work. What is the area of the figure?​

Answers

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

Area = 6 in.

Area of triangle 2:

b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

ANSWER NOW PLEASE: Tom is having his car repaired. The cost of the parts is $260
and 4 hours of work are required. Tom needs to keep the
entire cost of the repair under $400. Which inequality
expresses the relationship between hourly cost (x), parts,
and the $400 limit?

Answers

Answer:

260 + 4x < 400

Step-by-step explanation:

To make our inequality, let's list out the separate costs we have, all of which combined should be less than 400.

First, we have the cost for the parts, which is $260. The other cost we have is the hourly rate for the work. The repair will take a certain amount of money for every hour worked. The rate must be low enough that it doesn't exceed $400 when combined with the $260 from the parts.

To construct our inequality, we can begin with the estalished $260.

Then, add to this the hourly rate, (x) times the number of hours worked, 4.

So we have-

260 + 4x

The total of this cost must be less than $400 dollars, so we will use the less than ( < ) sign in front of the 400.

260 + 4x < 400

The answer is 260 + 4x < 400. I hope this was helpful :] Good luck ^^

HELLllllllPPppppp !!!

Answers

9514 1404 393

Answer:

 BC ≈ 17.0 (neither Crow nor Toad is correct)

Step-by-step explanation:

The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)

a cake has a diameter of 5 inch what is the circumference

Answers

Answer:

15.7

Step-by-step explanation:

c=d×3.14 which equals 15.7

Answer:

5π or 15.70796327 (I don't know what to round to or if the answer is supposed to be in terms of pi so it could be either).

Step-by-step explanation:

[tex]2\pi(2.5) = 5\pi[/tex]

[tex]5\pi = 15.70796327[/tex]

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer:

63.6 feet

Step-by-step explanation:

[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feet



(
x

2
)

3
=
1
x

6
=
x
3

x
3
(x
−2
)
−3

=
x
−6

1

=x
3
⋅x
3


Explain why these exponential expressions are equal to each other. Justify your answer.

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

What’s the surface area of this prism

Answers

the surface area is acute

A school sport's team sold hats for $12 each hat. The team made a profit of $3 for each hat sold. What percent of the selling price of each hat is the profit?

Answers

Answer: 25%

Step-by-step explanation:

Given: Selling price of each hat = $12

Profit on each hat = $3

To find: The percent of the selling price of each hat is the profit.

Ratio of profit to selling price = [tex]\dfrac3{12}=\dfrac14[/tex]

The required percentage = Ratio of profit to selling price x 100

[tex]=\dfrac14\times100=25\%[/tex]

The profit is 25% of the selling price.

A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate

Answers

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

Find the circumference of f

Answers

Answer:

its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer

Step-by-step explanation:

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min

Answers

Answer:

25 km

Step-by-step explanation:

100/20=5

5*5=25

You can use proportion
Km Min
5 20
? 100

(5*100)/20
500/20
=25

A letter is chosen from the word shown.
BELIEVABLE
Which describes the probability of randomly choosing a consonant?

Answers

Answer:

That something unexpected is about to happen.

Step-by-step explanation:


Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D

Answers

Step-by-step explanation:

the right answer would be B

Answer:

C

Step-by-step explanation:

The point (-4 , 1) will be located

4 units towards left side of x axis . 1 unit above y axis.

From figure , Point C

And pleaseee This too

Answers

Answer:

the correct option is 75

Step-by-step explanation:

The standard notation for how to write tables is in the next way.

[tex]\left[\begin{array}{ccc}inpt&outpt\\x_1&y_1\\x_2&x_2\end{array}\right][/tex]

Where the input values are represented in the x-axis (the horizontal one) and the output values are on the y-axis (the vertical one).

In this case, we want to find the number of (x-value) for the height of 250.

Then we need to look at the vertical axis and find the value y = 250.

Now let's move to the right until you meet with the point.

Once you reach the point, move down to the axis, the value at which you intersect the axis is the x-value.

We can see that the point is on the middle of the x-values:

x = 70 and x = 80

Then the x-value of the point is x = 75

This means that the correct option is 75

y+8 can be translated as "the
of a number and elght."
quotient
product
difference
sum

Answers

sum is the answer

hope this helped
The answer is “SUM”

I hope you get an a

Can someone please help?

Answers

1- highest was 98 lowest was 74!

Answer:

1: The highest score is 98, the lowest score is 74.

2: 55% of the scores are greater than 84

Step-by-step explanation:

Solution 1-1:

Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.

Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98

Solution 1-2:

Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74

Solution 2:

There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.

By dividing 11 by 20 we get 0.55 which is equal to 55%

The graph of f(x)=4/x^2-2x-3 is shown. For which values of x is f(x) decreasing?

Answers

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

What is graph?

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

Learn more about  graph here

https://brainly.com/question/21276417

#SPJ2

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