How would you graph the solution to 3x ≤ -15?

Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.

Answers

Answer 1

Answer: C) Closed circle at -5; shading to the left

The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.

Answer 2

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation:


Related Questions

A recent study investigated whether renowned violinists were able to classify the age of a violin. In the study, violins constructed before 1900 and violins constructed after 2010 were used. The violinists played each violin and were asked to classify the violin as old (constructed before 1900) or new (constructed after 2010). The responses are shown in the following table.

Which of the following statements is supported by the results in the table?
1.)The proportion of all new violins that are correctly classified is equal to the proportion of all old violins that are correctly classified.
2.)The proportion of all new violins that are incorrectly classified is equal to the proportion of all old violins that are correctly classified.
3.)The proportion of all incorrectly classified violins that are old is equal to the proportion of all correctly classified violins that are new.
4.)The proportion of all incorrectly classified violins that are new is equal to the proportion of all correctly classified violins that are new.
5.)The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified.

Answers

Answer:

The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified.

Step-by-step explanation:

According to the table, we have that the correct option is:

5.)The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified.

Statement 1:

15 of 33 new are correctly classified, thus, the proportion is:

[tex]p_N = \frac{15}{33} = 0.4545[/tex]

18 out of 31 old, thus:

[tex]p_O = \frac{18}{31} = 0.58[/tex]

Proportions are different, thus, statement 1 is false.

Statement 2:

13 out of 31 old are incorrectly classified, thus:

[tex]p = \frac{13}{31} = 0.4194[/tex]

Different than 0.4545, thus, statement 2 is false.

Statement 3:

Out of 31 incorrectly classified, 13 are old.

Out of 33 correctly classified, 15 are new.

Different proportions, thus, statement 3 is false.

Statement 4:

Out of the 33 new, 15 are correctly classified and 18 incorrectly, different proportions, thus, statement 4 is false.

Statement 5:

18 out of 33 correctly classified are old.

18 out of 33 new violins are incorrectly classified.

Same proportion, thus, statement 5 is true.

A similar problem is given at https://brainly.com/question/12612621

Mr. Donald's age is 7 times of 1/5 of the total of students in this class plus 12 minus 1. Assuming this class has 25 students in total. What is Mr Donald age?​

Answers

Answer:

46

Step-by-step explanation:

7×1/5×25+12-1

7×5+12-1

35+12-1

47-1

46

So the answer is 46

Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.

A. 8 – 3x = 2x + 4; x = 2.4
B. 8 – 3x = 2(x + 4); x= 0
C. 3x – 8 = 2x + 4; x= 12
D. 3x – 8 = 2(x + 4); x = 16

Answers

Answer:

It is either b or d but I think it is b

Step-by-step explanation:

HELP PLEASE ASAP
Which of the following is not equivalent to the following expression 2x^2 -16

Answers

Answer:

Option C. 2(x + 8)

Step-by-step explanation:

To know which option is the correct answer, let us simplify each expression given in the options to know which will not result to 2x² – 16. This is illustrated below:

For Option A:

2x² + 4x – 4x – 16

= 2x² – 16

For Option B:

2(x² – 8)

Clear bracket

2x² – 16

For Option C:

2(x + 8)

Clear bracket

2x + 8

For Option D:

(4x² – 32) /2

4x²/2 – 32/2

2x² – 16

From the above illustration, option C did not result to 2x² – 16.

Therefore, option C is the answer to the question.

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Answers

Answer:

84%

Step-by-step explanation:

The Empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 8.06

Standard deviation = 1.52

Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Using the first rule if Empirical formula

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

μ + σ

= 8.06 + 1.52 = 9.58

This satisfies one side of the distribution, hence:

100 - 68%

= 32%

P(x >9.58) = 32%/2 = 16%

Hence,the percentage of American women have shoe sizes that are less than 9.58 is

P(x < 9.58) = 100 - 16%

= 84 %

What statistical tesst might you use in order to estabilish whether a distribution is normal and significant?a. Spearman’s testb. Kolmogorov–Smirnov testc. t-testd. None of the above

Answers

Answer:

b. Kolmogorov–Smirnov test

Step-by-step explanation:

The Kolmogorov–Smirnov test is also known as KS test. It is statistical non-parametric test used to test and compare cumulative distributions between two sets of data.

It is used to test whether the distribution scores are deviated from the comparable normal distribution or if the data are normally distributed.

Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.

Answers

Answer:

$2,639.19

Step-by-step explanation:

Her balance at the end of the month is

$2358.19 - $80.00 + $99.50 = $2537.69

So the finance charge is 2537.69 * 0.04% = $101.50

and her new balance is $101.50 + $2537.69 = $2639.19

This is one I’m stuck on

Answers

Answer:

1.109

2.264

3.462

Step-by-step explanation:

cions: 5

3. Raymond is reproducing his favorite painting. The original painting is 48 inches

long and 36 inches wide. If Raymond's canvas is 36 inches long, how wide will it

need to be for the reproduction to be proportional to the original?

18 inches

48 inches

24 inches

27 inches

Answers

La la la la ma ma ma aka boo aka lala al aka aka a la aka lala la aka aka aka la aka aka aka la ka aka aka aka aka aka aka aka aka la aka aka aka aka aka aka aka aka aka a aka aka

Mixed in a drawer are 2 blue​ socks, 8 white​ socks, and 6 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color.

Answers

Answer:

6/16

Step-by-step explanation:

Write them out bb wwwwwwww gggggg

there are 16 in total so it would be 6/16 because of each color like bb ww gg thats 6 out of 16

The probability of getting 2 socks of the same color is 1/3.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

In the drawer,

Number of blue socks = 2

Number of white socks = 8

Number of gray socks = 6

Total number of socks  = 2 + 8 + 6 = 16

The Total ways to select 2 socks form 16 socks is 120.

The Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks = 40

The probability of getting 2 socks of the same color is

= 40/120

= 1/3

Therefore, the probability of getting 2 socks of the same color is 1/3.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ6

I WILL MARK BRAINLIST

Answers

Answer:

The answer would be c

Step-by-step explanation:

If you look at the vertices you will see that none of them have any of the same vertices.

Ms Gibson made an initial deposit of 500$ when opening a bank account. After the initial deposit, she deposited the same amount of money of each month-

A) a=250t
B) a=500t
C)a =250t+500
D)a=500+250

Answers

Its option B because if she us depositing same amount of money each month then it would just multiply by number of times money is deposited

if 4/3h=12, then h = 16 true or falae​

Answers

false the answer will be 1/9

What equation shows how to use equivalent fractions to evaluate 2/5 + 3/4

Answers

Answer:

Step-by-step explanation:

Exact form: 23/20

Decimal form: 1.15

(GIVING BRAINLIEST IF U HELP!! PLS DRAW IT OUT!)

Solve 8,397 ÷ 27 = __________ using partial quotients.
Draw it out

Answers

Answer:

311

Step-by-step explanation:

8397/27=311

Answer:

311 :)

Step-by-step explanation:

Use the algorithm method.

 3 1 1

2 7  8 3 9 7

8 1  

2 9

2 7

2 7

2 7

So your answer is 311

if 'HOPE' is called 3, ' GOVERNMENT' is called 9, ' PEACEFUL' is called 7, what would HAPPINESS 'be called??​

Answers

Answer:

8

Step-by-step explanation:

Identifying the Pattern:

We are told that 'HOPE' is called 3

we can see that there are 4 characters in the word HOPE

So, we can see that the number is one less than the number of characters in the given word

Let's see if the observation we made still holds for the other Words:

We are also told that 'GOVERNMENT' is called 9

the number of characters = 10

Here, we once again notice that the code number is one less than the number of characters in our word

We are Given that 'PEACEFUL' is called 7

the number of characters = 8

Once again, our observation holds true

Hence, our observation holds true for all the words

Therefore, we can say with certainty that the pattern is:

code number = (number of characters of the word) - 1

Code number for 'HAPPINESS':

from the above, we know that:

code number = (number of characters of the word) - 1

we can see that 'HAPPINESS' has 9 words, plugging that value:

code number = 9 - 1

code number for 'HAPPINESS' = 8

PLEASE HELP!

Identify the y-intercept and zeros of
[tex] y = {x}^{4} - 9 {x}^{2} - =3[/tex]
Algebraically​

Answers

Answer:

y intercept: (0, -36)

zeros: 2 √ 3 ,  − 2 √ 3 ,  i √ 3 ,  − i √ 3

can someone help me with this

Answers

Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

How many fewer boys’ shoes were 19 cm long than 22 cm long?

Answers

Answer:

6 boys

Step-by-step explanation:

I had a quizlet

4x + 11y = 7
4x + 3y = -1

Answers

Answer:

x= - 1

y= 1

Step-by-step explanation:

qwertyuiopsknzvzbjzjjs

YALL BETTER HELP ME WITH THIS :/

Answers

Answer:

Step-by-step explanation:

2. 4

3. 180°; multiplication

4. 4

6?. 32; 148

i think thats right. i hope this helps

Answer: I thinks it 32 degrees and 148 degrees

Step-by-step explanation:

You can buy 5 bananas for $4.25. What is the unit price per banana?

Answers

Answer: 85 cents

Step-by-step explanation:

Answer:

$0.85 per banana

Step-by-step explanation:

if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25

PLSSSSSS HELPPPPPPPPPPPPPP I HAVE BEEN STUCK ON THIS PROBLEM IN MY HOMEWORK
Write the expression as a square of a monomial:

[tex]100x^{2} *0.36y^{4}[/tex]

Answers

100 is the answer I believe

PLS HELP DONT ANSWER IF YOU DONT KNOW ALSO I WILL MARK BRAINLIEST

Answers

Answer: Absolute value is always positive so the two negative answers can’t be it. The plotted dot is also clearly past 1 on the number line so .75 doesn’t make sense either. The only logical answer is 1.25
i’m pretty sure it’s a

4.(03.01)
Is the following relation a function? (1 point)


A: Yes
B: No

Answers

Answer:

A

Step-by-step explanation:

X can only have 1 input buy Y can have many

. Solve for x.
10xy=W

Answers

Answer:

x=W/10y

Step-by-step explanation:

what is 2/5 of 3 3/4

Answers

1 1/2

Because I divided them and I got 1.5 then turned 1.5 into a simplified fraction.

WILL GIVE BRAINLIEST TO WHOEVER IS RIGHT ​

Answers

Answer:

lies  you wont give brainliest

Step-by-step explanation:

Explain to me in words how you would find the slope of this line and explain answer

Answers

Answer:
7/3

Explanation:
The slope of the line is equal to the rise/run, or in other words, the number of units the line travels upwards over the number of units the line travels to the right.

We can identify the slope using any two points on the line. Here, we can use the two points that are marked on the picture. The second point is 7 units above the first and 3 units to the right of the first, so the slope of the line is equal to 7/3.

Another way to calculate the slope of the line is the use this formula:

(y2-y1)/(x2-x1)

The first point is at the coordinate (1,-4) and second point is at the coordinate (4,3). When we plug these two coordinates into the equation, we get this:

(y2-y1)/(x2-x1)
->(3-(-4))/(4-1)

When we simply the fraction, we would get 7/3 and that would give us the slope.

I hope this helps!

Can anyone help me with this i need help quick

Answers

Answer:

C

Step-by-step explanation:

y=mx+n m is slope if slopes are perpendicular m1.m2=-1

(2/3) . (-3/2) = -1

m1=2/3

m2=-3/2

y=(2/3)x-3 m=2/3 n= -3

y=(-3/2)x+2   m = -3/2 n = 2

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