Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.

Answers

Answer 1

Given:

The compound inequality is

[tex]9<3x+6\leq 15[/tex]

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

[tex]9<3x+6\leq 15[/tex]

Subtracting 6 from each side, we get

[tex]9-6<3x+6-6\leq 15-6[/tex]

[tex]3<3x\leq 9[/tex]

Divide each side by 3.

[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]

[tex]1<x\leq 3[/tex]

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].


Related Questions

HI there I would Love some help! Thanks!

Answers

Step-by-step explanation:

So,

This should be the format from left to right-

-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85

$99.99, 19% discount​

Answers

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

Please help me i’m sorry

Answers

Answer:

Is that 11/3 because of rise over run??? I'm not sure

Find the missing side of the triangle, leave answer in simplest radical form.

Answers

Answer:

x =  [tex]\sqrt{15^{2}-13^{2}[/tex]

Step-by-step explanation:

PLEASE HELP!! 30 POINT!

What is the length of side s of the square shown below?
1450
6
s
90°
O A. 2
B. 6
O C. 16

Answers

Answer:

(E) 3(sq rt 2)

Step-by-step explanation:

the figure is a square so all four sides are equal and has 90 degree corners.

the diagonal has the value of 6 so:

6^2=s^2+s^2

36=2s^2

s^2=18  or sq rt 18 which would be 3(sq rt 2)

Anna bought 27 bananas. She used some for a recipe and had 17 left. Select all the
equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

27-x=17

Answer:

um how can we help you when there's no equations...

Step-by-step explanation:

What is the percentage of 65% of 34?

Answers

Answer: 65% of 34 is 22.1

Step-by-step explanation: Formula: 65% of 34 = 0.65 x 34 = 22.1

1. Convert 65% to a decimal. 0.65%

2. Multiply 0.65 by 34.

0.65 x 34 = 22.1

Answer:

22.1

Step-by-step explanation:

multiply 0.65 by 34

simplify 0.65 by 34

equal 22.1

There are 15 boys and 12 girls and Mrs. smiths class what is the ratio of girls to boys written as a fraction in simplest form?

Answers

Answer:

4/5

Step-by-step explanation:

The ratio of girls to boys is 12/15. Since, there are 12 girls to the 15 boys in the classroom.

Then, you would simplify 12/15.

The simplified form of 12/15 is 4/5

at the local flea market, nike and reebok sneakers were being sold. all bike sneakers sold for $75.00 and reebok’s were being sold for $65.00. if 180 people bought sneakers for a total of $12,550, how many of each pair were sold?

Answers

Answer:

69.72

Step-by-step explanation:

Thats the answer if its not plz tell me

Solve for y:
7y + 3y - 2y + 12 = 60

Answers

Answer:

Explanation:

7y + 3y - 2y + 12 = 60
8y + 12 = 60
8y = 60 - 12
8y = 48
y = 48/8 = 6

Rebecca is making halloween costumes. She pays $6.72 for 3 yards of fabric. What is the unit cost of the fabric?

Answers

Answer:

$2.24

Step-by-step explanation:

To find the unit cost, you divide 6.72 by 3, which is 2.24.

Help

Don’t use for points or will take it back

Answers

Answer:

35

Step-by-step explanation:

180-145=35

The total of 3 angles is 180 degrees

Answer:

x=35°

Step-by-step explanation:

45°+100°+x=180°{sum of angle of triangle}

145+x=180

x=180-145

x=35°

hope it helps.

Pls help I’ll brainlest

Answers

Answer:

30.5 feet / minute

Step-by-step explanation:

Rate of descent is the same as speed (of falling). The formula for speed is distance / time = speed

First, find how much it fell.

4595 - 3131 = 1464 feet

Divide the distance by the time.

1464 feet / 48 minutes = 30.5 feet / minute

A total of 190 people attended the opening night of a school
musical. Student tickets cost $4.50 each while general
admission tickets cost $6 each. If total sales were $996, how
many general admission tickets were sold?

Answers

Answer:

94

Step-by-step explanation:

x=student tickets y=general admission

We can write the two following equations

x+y=190

4.5x+6y=996

I am going to solve this through substitution

We first need to get a variable by itself

x+y=190

x-190= -y

-x+190=y

We can plug this value in for y into the second equation

4.5x+6(-x+190)=996

4.5x-6x+1140=996

-1.5x= -144

x=96

Now that we know that x=96 we can plug this value into any of the two beginning equations and solve for y

96+y=190

y=94

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

Answers

Answer:

The right answer is B.

Step-by-step explanation:

To be sure if three sides could be used to form a triangle, you need to remember that two sides of a triangle added together is always greater than the final side. B is the only selection that does not work for the law, 3 + 5 = 8 which is smaller than 10, so the corrct answer is B.

Read the problem.
There are a total of 90 trees in Citrus Grove, and 36 of them are orange trees. What
percent of the trees grow oranges?

Answers

Answer:

32.4%

Step-by-step explanation:

[tex]\frac{90x36}{100}[/tex]=[tex]\frac{3240}{100}[/tex]=32.4%

select all the relationships that demonstrate a positive association between variables. (3 answers!) Group of answer choices Number of people in a grocery check-out line and how long you have to wait to check out Length of time you have walked and distance you have traveled Pounds of cherries you buy and amount of money you spend on cherries Speed of a train and the amount of time it takes for the train to get to its destination Outside temperature and cost to heat a home

Answers

Answer:

The following demonstrate a positive association between the variables:

O.  Pounds of cherries you buy and amount of money you spend on cherries

O.  Number of people in a grocery check-out line and how long you have to wait to check out

O.    Speed of a train and the amount of time it takes for the train to get to its destination

Step-by-step explanation:

Amy pays $1.71 in postage to mail a CD to a friend. She uses 41-cent stamps and 6-cent stamps. How many of each stamp did Amy use?

Answers

Answer:

3 41-cent stamps and 8 6-cent stamps

Step-by-step explanation:

I believe she used 3 41-cent stamps (which is $1.23) with $0.48 leftover which we can use $0.06 to get rid of. We need to use 8 of the $0.06 stamps.

a ball is thrown from a height of 40 meters with an initial downward velocity of 5 m/s

Answers

0=40-10t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 (not a solution) or t=2

Answer: after 2 seconds

i will give you brainliest if the answer is correct

Answers

Answer:

x = 3

Step-by-step explanation:

x =  (sq rt 3)( sq rt 3)  because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.

x = (sq rt 3)(sq rt 3)

x = 3

9x-(3x-3)=21
Solve the equation. Select the correct choice below and if necessary, fill in the answer box to complete your choice. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) The solution is all real numbers. The solution is the empty set.

Answers

9x-(3x-3)=21 is x = 3 when simplified.

A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free throw percentage was 79% and she had 4 steals. The team averaged 87% from the free throw line with a standard deviation of 12 and they averaged 7 steals with a standard deviation of 3. In which category did Erin do better compared with her team

Answers

Answer:

Due to the higher z-score, she did better in the free throw category.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

She did better in the category that she had the higher z-score:

Free-throws:

Her free throw percentage was 79%, which means that [tex]X = 79[/tex]

The team averaged 87% from the free throw line with a standard deviation of 12, which means that [tex]\mu = 87, \sigma = 12[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{79 - 87}{12}[/tex]

[tex]Z = -0.67[/tex]

Steals:

She had 4 steals, which means that [tex]X = 4[/tex]

Averaged 7 steals with a standard deviation of 3, which means that [tex]\mu = 7, \sigma = 3[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4 - 7}{3}[/tex]

[tex]Z = -1[/tex]

Due to the higher z-score, she did better in the free throw category.

HOW DO I DO THIS HELP

Answers

Answer:

I am pretty sure that you would divide 247 by 19 and whatever that answer is would be the answer

Step-by-step explanation:

This drawing shows the plan for a ramp to be installed in front of a building. Using the dimensions given, find the length of the ramp.
A. (the square root of) 26 ft.
B. (the square root of) 27 ft.
C. 16ft
D. 35ft

Answers

Answer:

D

Step-by-step explanation:

I am not sure

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

It should be 12.5 units^2 :)

WILL MARK BRAINLYIST what are the values of X,Y, and z

Answers

Answer:

x=111, y=36, z=76

Step-by-step explanation:

x = 45 + 66

Therefore x is 111 degrees

To find y, we will use the triangle method. We know that a triangle adds to 180, and so do two adjacent angles on a straight line.

180-66 = 114

180 - 114 - 30 = y

Therefore y is 36 degrees.

Same principles with z.

180- 119 = 61

180 - 61 - 43 = z

Therefore, z is 76 degrees.

Final:
x = 111
y = 36
z = 76

The diagram shows the dimensions of a new parking lot at Helen's Health Food store

Answers

What’s the question?

Question 3
1 pts
If a porcelain doll can be made in 2 1/2 hours, how many dolls can be made in 100 hours?
40
50
250
35

Answers

Answer:

40

Step-by-step explanation:

100/2.5=40

Emergency!!! Please I need help!!!!!!!

Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he
makes. The equation P = 17.50x + 65 represents Ryan's total pay on a day on
which he sells x computers. What is the y-intercept of the equation and what is its
interpretation in the context of the problem?
What is the Y intercepts of the function?

Answers

Answer:

i cant really tell what the question is asking but:

Step-by-step explanation:

65 is the y intercept and i think it stands for the minimum pay that he recieves each day no matter how many computers he sells.

Find the measure of the missing angle.
а
54°

Answers

Answer:

a = 36°

Step-by-step explanation:

a + 54° = 90°

a = 90° - 54°

a = 36°

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