X is less than or equal to -8 graphed on a number line

Answers

Answer 1

what you must do for this case is to take all the numbers that satisfy the following inequality
x <= - 8
Notice that the inequality solution is
(-inf, -8]
In the graph the parenthesis implies that the value of minus infinity is not included. The bracket implies that the value x = -8 is included in the solution of the inequality.
See attached graph.

X Is Less Than Or Equal To -8 Graphed On A Number Line

Answer 2

Graphing x \<= -8 involves placing a solid circle at -8 on a number line and shading everything to the left to represent all numbers less than or equal to -8.

To graph x \<= -8 on a number line, you need to include every number that is less than or equal to -8. Start with a number line and locate the point -8 on it. Then, draw a solid circle at -8 to indicate that -8 is included in the solution (because of the '<=' symbol). Next, shade or draw a thick line to the left of -8, going towards the negative direction, to cover all numbers that are less than -8. This shaded area represents all the possible values for x that satisfy the inequality x \<= -8.

Visual Representation on Number Line

A visual representation helps to understand the solutions to the inequality. When graphing, remember that the area to the left of the chosen point on a number line includes all numbers less than the indicated value, and if the circle is solid, that point is also part of the solution set.

The process described here provides a straightforward approach to graphing linear inequalities on a number line, which is a fundamental concept in algebra.

Related Questions

Prove it is rational by writing it as a quotient of two integers. Please answer these problems, I need to check my answers. Ignore the blank ones, I was able to check them. Thank you!
1. 2.4

2. 74

3. 17.3333333…

4. π

5.

6. –18

7.

8. 87.125

9. –30

10. –8.3

11. 58.25

12. 121

13. 4.5

14.

Answers

1. 2.4 = 24/10

2. 74 = 74/1

3. 17.3333333… = 52/3

4. π - not rational

6. –18 = -18/1

8. 87.125 = 87125/1000

9. –30 = -30/1

10. –8.3 = -83/10

11. 58.25 = 5825/100

12. 121 = 121/1

13. 4.5 = 45/10

Most of the decimals can be reduced to lower terms by removing at least one factor of 2 or 5. If all you want is a ratio of integers, that is irrelevant.

800 hm = _____ cm

8
0.08
8,000,000
80,000

Answers

To solve this conversion factor problem we are going to multiply our original quantity 800hm by conversion factors (expressed as fractions) in order to cancel units until we get centimeters:
We know that 1 hectometer= 100 meters, so our first conversion factor expressed as a fraction is [tex] \frac{100m}{1hm} [/tex]
We also now that 1 meter = 100 centimeters, so our second one is [tex] \frac{100cm}{1m} [/tex]

Now that we have our fractions, lets multiply our original quantity by them to get our answer in the required units:
[tex]800hm( \frac{100m}{1hm} )( \frac{100cm}{1m})=8000000cm [/tex]

We can conclude that 800hm are 8,000,000cm

Answer:

Exactly what they said (the answer is i bold at the bottom)

Step-by-step explanation:

in a first aid kit the ratio of large bandages to small bandages is 5 to 2. Based on this ratio, how many large bandages are in the kit if there are total of 60 bandages?

Answers

The best way to answer this question is to set up the first sentence as a ratio of large bandages to total bandages. You would write 5 large bandages to 7 total bandages to 7 total bandages. Then you would make this equivalent to x number of large bandages to 60 total. It would look like this 5:7 = x:60. You could use cross products to multiply 60 by 5 to get 300. 7 times x also should equal 300. Unfortunately, this example will not leave us with a whole number of bandages, but 300/7 is a repeating decimal or a mixed number (42 6/7 large bandages).

Idek what this is plz help me :)))

Answers

"Solve for" means isolate, or get by itself. To isolate variables, perform inverse operations:

a.
3(2x - 1) + 2y = 5x
6x - 3 + 2y = 5x
x - 3 + 2y = 0
x - 3 = -2y
3 - x/2 = y
y = 3 - x/2

There - you've isolated y.

b.
600x + 200y = 500x
100x + 200y = 0
100x = -200y
x = -2y

And that's your isolated term for x.

Hope this helps. (:

HELP WILL MARK BRAINLIEST!!!!!!!!!!!Cindy has to write an 18-page report. If she has written 1/3 of a report so far, how many pages has she written?
A. 4 pages
B. 6 pages
C. 8 pages
D. 9 pages

Answers

18

1/3 of 18 = 6

Cindy has written 6 pages of her report so far.

Also: This means she has 12 pages left.

18/3=6
6 x 1= 6

The answer is 6 pages, or B.

Trent is fishing from a pier. ●The tip of his fishing rod is 53 ¾ feet above the surface of the water. ●The hook on the end of the fishing line is directly below the tip of the fishing rod 12 ⅔ feet below the surface of the water. Trent estimates that the distance between the tip of his fishing rod and the hook is less than 65 feet. Is Trent’s estimate reasonable? Explain your answer. HELP Please

Answers

I would say yes and no because estimations aren't exact, they're close to the correct value. Trent's estimation is correct since 53+12=65, if we were looking for the exact distance, Trent would be wrong because there are fractions too, so the exact value would be 66 (5/12) or 65 (17/12).

Hope this helped :)

Pythagorean Theorem in Cones. I need a lot of help.

Answers

The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.

(side1)^2 + (side2)^2 = (hypotenuse)^2

Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...

4^2 + height^2 = 8^2

If we solve for height, we get the following...

height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)

Since we are only asked for what is inside the square root, our answer is 48.

What is 3 1/3 +(-2 1/4) + 1 5/6 as a mixed fraction

Answers

The answer is 2 11/12 because you do 3 1/3 + -2 1/4 which gets you 1 1/2. Then you need to add 1 5/6 to the 1 5/6 to get your answer. So when you add up your answer you get 2 11/12. Hope this helps.

By separating between whole numbers and fractions, we will see that the sum is equal to 2 + 11/12.

How to add mixed numbers?

Here we want to perform the sum:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6)

We separate between whole and fractions, so we get:

(3 - 2 + 1) + (1/3 - 1/4 + 5/6)

The left part is easy: 3 - 2 + 1 = 2

The right part needs to find a common denominator, we will use 12.

1/3 - 1/4 + 5/6 = 4/12 - 3/12 + 10/12 = 11/12

Then the sum is:

(3 + 1/3) + (-2 - 1/4) + (1 + 5/6) = 2 + 11/12

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Between which two consecutive integers does ???147 lie?

A.
146 and 148

B.
12 and 13

C.
11 and 12

D.
10 and 11

Answers

If those question marks are supposed to be a radical, then 12 and 13. The square root of 147= 12.12, which puts it between 12 and 13.

The consecutive numbers where the square root of 147 will lie are between 12 and 13.

Consecutive numbers simply mean the numbers that follow each other. Examples of consecutive numbers are 2,3, 4.

It should be noted that the square root of 147 is 12.12. Therefore, 12.12 can be found between 12 and 13. In conclusion, the numbers will be 12 and 13.

Answers

He spent 150.97 hope this helps :) have a good day

Answer:

Mike spent $150 on his decorations.

Step-by-step explanation:

In order to find the amount of money Mike spent on his decorations you must add all the costs together.

$41.64 + $36.84= $78.48

$78.48 + $72.49= $150.97

Then you round 150.97 to 151, which is also close to 150.

Hope this helps :)

Write a real-world problem that can be represented by a rule and a table using division

Answers

A company makes different size square containers. How can you find the length of each side if you know the perimeter of each of the containers? Represent your answer in a table, and right and equation that shows the rule used. You would write the equation x/4=y. I would create an input/output table with the labels x and y. I would then write various lengths for the perimeters and use the rule of dividing by 4 to find the y values.

what is the circumference of a circle with a diameter of of 8.4 cm?

Answers

The answer would be 26.39 cm.

Hope this helps!

- Juju

C= d•pi(3.14).
3.14•8.4= 26.376. :)
C= 26.376

Expand the polynomial:
(5a+1/5 b)^2

Answers

Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer: 25 a^2 + a b + b a + (b^2/5)/5

Replaced A for X and B for Y

(25x^2)+(2xy)+(y^2/25)

HELP THIS IS URGENT HELLPP

Answers

Ok, so the key says 1cm=10mm. So you do 25x10=250cm, then do 250(the fish)-25(the guinea pig)= 225cm

a map is drawn with a centimeter representing 25 Miles. if the distance between two towns ia 3 centimeters on the map, what is the actual distance between the two towns?

Answers

25 miles * 3 cm= 75 miles

The answer is 75.
1cm=25miles
3cm=xmiles
Cross multiply to get x=75miles

what is the mean median and mode

Answers

mean-the average of numbers
to calculate add all the numbers and divide by how many numbers there are
4,600,000+4,500,000+4,000,000+4,600,000+10,200,000 and since there are 5 numbers divide that by 5

median-find the middle number
put numbers in order from least to greater and find the number in the middle
4,000,000x 4,500,000x 4,600,000 4,600,000 10,200,000x so your answer should be 4,600,000

mode-if a number appears more than once
4,600,000

NEED HELP ASAP 20 POINTS

A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?

TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5

A) nc= 9, $10
B) nc= 72, $6
C) n/c= 72, $12
D)n/c= 9, $12

Answers

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

[tex]3\times24=72[/tex][tex]6\times 12=72[/tex][tex]9\times 8=72[/tex][tex]16\times 4.5=72[/tex]

Thus, the function which models the data is the [tex]nc=12[/tex].

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

[tex]\frac{72}{12}=6[/tex] dollars=$6

Therefore, out of the given options, the option the correct option is number B.

Answer:

nc=72,6$

Step-by-step explanation:

What does X represent in this story;

• Diego has 24 ounces of juice. He pours equal amounts for each of his three friends, and then add six more ounces for each.

The equation is
3(x + 6)= 24

X= 2

I need to know what X represents.

Answers

Here the total amount of the juice is 24 ounces. Diego poured equal amounts to his three friends. But that equal amount is unknown. Then he add 6 to each that is represented by x +6. Hence, the x is the initial amount poured to each three friends.

What is polynomial expression ?

A polynomial expression is composed of some coefficients and indeterminants that involves basic basic arithmetic operations. Where the indeterminants or unknowns are basically represented by the letters x or y.

Here, Diego has 24 ounces of juice. He pours equal amounts of juice to his three friends. The mount he poured to each friends is unknown here. Hence, let it be x.

Then, he added 6 more ounces to each these x quantity that is represented by x + 6. Now, 3 friends have this x + 6 ounces of juice then total equals 24.

i.e, 3 (x + 6) = 24

3x +18 = 6

3x = 24- 18 = 6

x = 6/3 = 2.

Hence, here, x represents that Diego poured initially to each friends before adding 6 more ounce.

Find more on polynomial expressions:

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Final answer:

In the story problem, x represents the initial amount of juice in ounces (2 ounces) that Diego pours for each of his three friends before adding an additional six ounces to each.

Explanation:

In the given story problem, x represents the initial amount of juice in ounces that Diego pours for each of his three friends before adding six more ounces to each. To understand what x represents, let's explore the equation 3(x + 6) = 24. This equation tells us that Diego has 24 ounces of juice in total, which is then divided equally among his three friends and after the division, he adds six more ounces to each friend's portion.

Now, if we follow the equation 3(x + 6) = 24 and solve for x, we find that:

Multiply each side of the equation by 1/3 to isolate the term with x, yielding x + 6 = 8.Then, subtract 6 from each side to solve for x, resulting in x = 2.

This means that Diego initially pours 2 ounces for each friend and then adds 6 ounces to each, totaling 8 ounces for each friend.

Two letter are chosen without replacement at random from the English alphabet. If y is considered to be a consonant, find the probability that both are vowels and that both are consonants

Answers

To find the probability of picking a vowel, you would find the probability of getting a vowel the first time (5/26). The next time you pick it would be 4/25. Multiply these together to get 2/65 as your probability of getting a vowel. For your probability of getting a consonant, it would be 21/26 and 20/25. Multiply this together to get 42/65 as your probability.

Final answer:

Explanation of the probabilities of choosing two vowels and two consonants from the English alphabet without replacement.

Explanation:

The probability of choosing two vowels:

There are 5 vowels in the English alphabet: a, e, i, o, u.

The total number of ways to choose 2 letters out of 26 is C(26, 2) = 325.

The number of ways to choose 2 vowels out of 5 is C(5, 2) = 10.

Therefore, the probability of choosing 2 vowels is 10/325 = 2/65.

The probability of choosing two consonants:

The total number of ways to choose 2 consonants out of the remaining 21 letters is C(21, 2) = 210.

Therefore, the probability of choosing 2 consonants is 210/325 = 42/65.

If the dimensions of a parallelogram are increased by a factor of two, how will the perimeter of the object be affected?
increase by a factor of four
decrease by a factor of one-fourth
increase by a factor of two
decrease by a factor of one-half

Answers

Let
x------------> length major side parallelogram
y------------> length minor side parallelogram
we know that
[perimeter]=(2x+2y)
Po=(2x+2y)

If the dimensions of a parallelogram are increased by a factor of two
then
x1=2x
y1=2y
P1=2x1+2y1----------> 2*[2x]+2*[2y]--------> P1=2*[2x+2y]
P1=2*Po

the answer is
the new perimeter increase by a factor of two

Answer:

increase by a factor of two

Step-by-step explanation:

Given that dimension of a parallelogram are increased by a factor of 2.

Let the sides of the parallelogram be l and w.

Then perimeter = 2(l+w)

When each side is increased by a scale factor of 2, we get new dimensions as

2l and 2w

Hence new perimeter = 2(2l+2w) = 4(l+w)

= twice as old perimeter

Hence increase by a factor of two

(80z) to the 3/4 power

Answers

[tex] 80z^{3/4} [/tex] is also equal to 80[tex] \sqrt[4]{z^{3}} [/tex] then simplify

Make a conjecture about the position, size and shape of a figure if a composition of transformation included a dilation

Answers

If a dilation is included, then there should be a different size in the image as well as a reasonable scale factor.

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predict the population after 10 years. y = 15,200 ∙ 2x; about 15,564,800 people y = 2 ∙ 15,200x; about 304,000 people y = 15,200 ∙ 1.02x; about 18,529 people y = 15,200 ∙ 2x; about 18,529 people

Answers

For this case, what you need to know is that to model this problem, you must use equations of the potential type:
y = A * (b) ^ t
Where:
A: initial population.
b: growth rate.
t: time.
Substituting values we have:
y = 15200 * (1.02) ^ t
After 10 years we have:
y = 15200 * (1.02) ^ 10
y = 18529
Answer:
An equation to model of the population growth is:
y = 15,200 ∙ 1.02 ^ x
the population after 10 years is:
about 18,529

write y=(- 3/4)x+3 in standard form using intregers

Answers

y = (-3/4)x + 3
4y = 4 * [ (-3/4)x + 3 ] ... multiply both sides by 4
4y = 4*(-3/4)x + 4*3 ...... distribute
4y = -3x + 12
4y + 3x = -3x + 12 + 3x .... add 3x to both sides
3x + 4y = 12

Answer: 3x + 4y = 12

Need answers please:)

Answers

9a^3b^4 I think

Not sure...

PLEASE HELP ME PLSSSSSSSSSSSSS

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data. y = 3.4x + 43

According to the model, what is the average number of pizzas sold in one night if no coupons are issued?

Question 5 options:

A 43

B 0

C 11

D 21

Answers

the answer wolud be 43 good luck

Answer:

option: A is correct.

Step-by-step explanation:

We are asked to find the average number of pizzas sold in one night if no coupons are issued.

i.e. we have to find the value of y such that x=0 i.e. no coupon was issued.

We are given a equation which represents the linear model for this data:

y = 3.4x + 43

where y denotes the average number of pizza sold and x denotes the number of coupons issued.

Hence when x=0 we have value of y from the above linear equation as:

y=3.4×0+43=0+43=43

i.e. y=43.

Hence, average number of pizzas sold in one night if no coupons are issued are 43.

Draw lines to show how Mrs. Reed could cut one pan of lasagna into thirds,one into fourths,one into sixths,and one into eights

Answers

I hope this is what you meant

Which is the ratio for sin A, written as a fraction in simplest form?

Answers

When you have a right triangle (A triangle which has a angle of 90°), you can find the "Sine". This is one of the basi trigonometric ratios. By definition, the Sine is:

Sin(α)=Opposite leg/Hypotenuse

You want to find Sin(A), so the opposite leg will be 8√3 and the hypotenuse will be 16.

When you substitue these values, you have:

Sin(α)=Opposite leg/Hypotenuse
Sin(A)=8√3/16

When you simplify, you obtain:

Sin(A)=4√3/8
Sin(A)=2√3/4
Sin(A)=√3/2

Which is the ratio for Sin(A)?

The answer is: The ratio for Sin(A) is √3/2

Answer:

√3/2

Step-by-step explanation:

What is the solution to the following system of linear equations? 4y − 36 = −12x 3x + y = −9

Answers

Answer:

no solution :)

Step-by-step explanation:

A bag contains 30 cookies: 6 vanilla, 12 chocolate, and 12 oatmeal. What is the probability that an oatmeal is randomly selected?
A) 1/4

B) 1/5

C) 1/6

D) 2/5

Answers

Option: (D). The Probability that an oatmeal is randomly selected is 2/5.

What is Probability?

Probability is Possibility. Probability deals with" an occurrence of an Random event. It values varies from 0 to 1".

According to the question,

Number of vanilla = 6

Number of chocolate = 12

Number of Oatmeal = 12

Formula for Probability of an event to occur P(E) = [tex]\frac{Number of favourable event}{Total Number of an event}[/tex]T.

Total number of an Outcomes = 30

P(E) = [tex]\frac{12}{30}[/tex]

=[tex]\frac{2}{5}[/tex]

Hence, The Probability that an oatmeal is randomly selected is 2/5.

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The probability of selecting an oatmeal cookie from a bag of 30 cookies (6 vanilla, 12 chocolate, and 12 oatmeal) is 2/5, which is answer choice D.

The student's question involves calculating the probability of selecting an oatmeal cookie from a bag containing multiple types of cookies. The total number of cookies is 30, comprising 6 vanilla, 12 chocolate, and 12 oatmeal cookies. To find the probability of selecting an oatmeal cookie, we use the formula:

Probability (selecting an oatmeal cookie) = Number of oatmeal cookies / Total number of cookies.

This gives us:

Probability (selecting an oatmeal cookie) = 12 / 30 = 2 / 5

So, the probability that an oatmeal cookie is randomly selected is 2/5, which corresponds to answer choice D.

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(6 pt) Match each word from Column A with the correct definition from Column B.Column AColumn B1.nullify2.civil3.emancipate4.reconstruct5.liberty6.tacticA.to set free, especially from someone else's powerB.to cause something to have no effectC.relating to citizens and governmentD.freedom; the power to do as one choosesE.to build againF.planned actionQuestion Resources Consider this system of linear equations:y = 3x + 5y = mx + bWhich values of m and b will create a system of linear equations with no solution? m = 3 and b = 3m = 5 and b = 3m = 3 and b = 5m = 5 and b = 3Engenuity answer is m= -3 and B= -3 Qu pas te gustara conocer, Emily?Emily: ___________ conocer Per y sus lugares tursticos. Ephedrine, a central nervous system stimulant, is used in nasalsprays as a decongestant. this compound is a weak organic base: {\rm{c}}_{10} {\rm{h}}_{15} {\rm{on(}}aq{\rm{)}} + {\rm{h}}_2 {\rm{o}}(l{\rm{)}} \overrightarrow{\leftarrow} {\rm{c}}_{10} {\rm{h}}_{15} {\rm{onh}}^ + (aq) + {\rm{oh}}^ - (aq) a 0.035 {\rm m} solution of ephedrine has a{\rm ph} of 11.33. what is the equilibrium concentration of{\rm{c}}_{10} {\rm{h}}_{15} {\rm{on}}, {\rm{c}}_{10} {\rm{h}}_{15} {\rm{onh}}^ +, and oh-. Write five sentences in Spanish using "-ir" verbs. Only choose from these regular verbs to make your sentences: abrir, asistir, decidir, descubrir, escribir, ocurrir, permitir, recibir, or vivir.Use a different verb for each sentence. Be sure to conjugate your verbs correctly. Your sentences can be short and simple. If necessary, feel free to use a dictionary for one or two words that you may need but don't know yet. Example:Yo vivo en California. (I live in California.). Find the supplement of an angle of 126 degrees Scientists at Russias Vostok Station in eastern Antarctica drilled the longest ice core ever recorded. They compiled this graph using the data collected from the ice core. This plot shows the temperature, carbon dioxide (CO2), and dust levels up to 400,000 years ago. Which statement best summarizes the data in the graph? From a sample with nequals=1616, the mean number of televisions per household is 22 with a standard deviation of 11 television. using chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions. A baseball player got 10 hits in 39 times at bat. What percent of his times at bat did he get a hit? (Round to the nearest percent.) 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