Mathematics High School

Solving Inequalities Independent Practice
-⅓x - 6 < -3

Answers

Answer 1

Answer:

Solution: x>-9

In interval form: (-9,∞)

Step-by-step explanation:

Inequalities

Solve the inequality:

[tex]\displaystyle -\frac{1}{3}\ x-6<-3[/tex]

Add 6:

[tex]\displaystyle -\frac{1}{3}\ x<-3+6[/tex]

[tex]\displaystyle -\frac{1}{3}\ x<3[/tex]

Multiply by -3. Recall the inequality sign must be changed:

[tex]\displaystyle x>-9[/tex]

Solution: x > -9

In interval form: (-9,∞)

Related Questions

Find the balance in Grace’s account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%.

Answers

Answer:

2762.5

Step-by-step explanation:

Can someone please help me with this I’m being timed!!!! Just determine it solution, no solution , or infinitely many solution!!!!!

Answers

X=3 Y=7 -only one solution

5x+1.5y=-4 10x+3y=-8 -infinitely many solutions

2.5x+39y=18 2.5x+39y=38 -no solution

The greatest value of any U.S. paper money ever printed is 10^5 dollars. What is this amount written in standard form?

Answers

Answer:

100000

Hope this helps

mark is an auto dealer he sold a car and made a loss of 10% if his loss was $150000 A calculate how much he sold the car for B what was his cost price​

Answers

Answer:

A. he sold the the car for 1350000

B. his cost price is 1500000

Step-by-step explanation:

A. 150000---> 10%

x-----> 90%

cross multiplication: x=150000×90/10=1350000

B. 10%( price) +90%(price)

1350000+150000=1500000

10+5.50x=34+2.50x. what is x

Answers

Answer:

8

Step-by-step explanation:

10+5.50x=34+2.50x

-2.50x from each side

10+3x=34

-10 from each side

3x=24

divide both sides by 3

x=8

3)
Which of the choices shown are the lengths of the sides of a right triangle?
A)
1, 1, 2
B)
5, 6, 12
3,5,8
D)
10, 24, 26
Please help will give brainliesst

Answers

your answer is D hope this helps

What are the x- and y-intercepts of the line? 2x – 3y = –12
Show work

Answers

Answer:

You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Step-by-step explanation:

Answer:

x = -6  y = 4

(-6,0)  (0,4)

Step-by-step explanation:

2x - 3y = -12

cancel out the y

2x - 3(0) = -12

2x = -12

divide both sides by 2

x = -6

2x - 3y = -12

cancel out the x

2(0) - 3y = -12

-3y = -12

divide both sides by -3

y = 4

Hope this Helps!!!

6h+(-8.1d)-13+5d-3.2h

Answers

i’m guessing this is combining like terms? -3.1d+2.8h-13

Can someone please help me I’m struggling

Answers

Answer:

point form is (2,-1), equation form is x= 2, y=-1

Step-by-step explanation:

What kind of quadrilateral is the shape shown ? Please choose correct answers that apply !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

Option A

Step-by-step explanation:

It's a parallelogram because the four sides all has equal length

Find the value of x in the figure.
(4x-5)
177
(4x-3)
(3x-3)
118
(3x+6)

Answers

Answer:

x = 35

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, then

sum = 180° × 4 = 720°

sum the given angles and equate to 720

4x - 5 + 117 + 3x - 3 + 3x + 6 + 118 + 4x - 3 = 720, that is

14x + 230 = 720 ( subtract 230 from both sides )

14x = 490 ( divide both sides by 14 )

x = 35

help please!!!! would really appreciate it

Answers

Which subject is it? and which lesson

12x─ 15 = 6 ─ 3x answered as a fraction

Answers

Answer:

x=1.4 or 21/15

Step-by-step explanation:

Answer:

x is equal to one and two fifths.

Step-by-step explanation:

Given:

12x - 15 = 6 - 3x

Let's start by noticing that every term in that equation is divisible by 3.  That means we can factor 3 out of it, giving us:

4x - 5 = 2 - x

Now we'll add x to both sides:

4x + x - 5 = 2 - x + x

5x - 5 = 2

An then we add 5 to both sides:

5x - 5 + 5 = 2 + 5

5x = 7

Finally, we can divide both sides by 5 to get the final answer:

5x ÷ 5 = 7 ÷ 5

x = 7/5

To put that in proper form it would be:

[tex]x = 1 \frac{2}{5}[/tex]

Use a combination to answer the following question.

The track coach needs to higher three managers for the track team. If ten students applied for the positions,

How many ways can the coach select three managers from 10 students?

n=
r=

Answer:
(answer with no comas or decimals)

Answers

Answer:

120 POSSIBLE COMBINATIONS

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

What is the answer here and explain why.

Answers

Answer:

x = 8

Step-by-step explanation:

Given

- 4(- x + 8) = 0

- 4≠ 0, so

- x + 8 = 0 ( subtract 8 from both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8

Answer:

X=8

Step-by-step explanation:

GOOD LUCK!

As an estimation we are told £3 is €4.
Convert £24.10 to euros.
Give your answer rounded to 2 DP.

Answers

27.08 I used a money converter but at least it worked (I think)

a runner speeds up from 5 m/s to 9 m/s during the last strech of a race at a rate of 1 m/s². how long does it take the runner to reach the faster pace?​

Answers

4 seconds
9-5 is 4

Accelerates at 1m/ss

4 seconds

What’s equivalent to 3/4

Answers

3/4 can also be wrote at .75 .... a fraction close could be 9/12
It could be .75 as a decimal, 75%, or 9/12.

An aquarium is leaking water at the rate of three quarts in 4 days.How many quarts are leaked in 1 week?How many days does it take for 9 quarts to leak out of the aquarium?

Answers

Answer:

[tex]\frac{21}{4}[/tex] quarts

12 days

Step-by-step explanation:

Given that:

Amount of water leaked in 4 days = 3 quarts

To find:

Number of quarts leaked in 1 week?

Number of days taken for the leakage of 9 quarts of water?

Solution:

We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.

As per question statement:

Amount of water leaked in 4 days = 3 quarts

Dividing by 4 on both sides:

Amount of water leaked in 1 day = [tex]\frac{3}{4}[/tex] quarts

Multiplying by 7 on both sides:

Amount of water leaked in 7 days = [tex]\frac{3}{4}\times 7 = \frac{21}{4}[/tex] quarts

Number of days taken for the leakage of 3 quarts = 4 days

Multiplying by 3 on both sides:

Number of days taken for the leakage of 3 [tex]\times[/tex] 3 = 9 quarts = 4 [tex]\times[/tex] 3 = 12 days

Please solve 3(-4 + x) < -33

Answers

Answer:

x < -7

Step-by-step explanation:

Divide both sides by 3

simplify

add 4 to both sides

Answer:

x<-7

Step-by-step explanation:

I need the answer as quickly as possible, please.

Answers

Answer:

×^2-10× + 25

I'm not sure

Your Answer is : A.
x^2 + 10x + 25

please help me with this its for math will give brainly for correct answer
Indicate whether (2, 7) is a solution of the given system.
Yes, (2, 7) is a solution of the system.
No, (2, 7) is not a solution of the system.

Answers

Answer:

Yes. Plug in your x and y into the first given equation and you'll see why.

(7) ≥ -(2)+1

7 ≥ -1 (7 is greater than or equal to -1)

...As well as the second equation.

(7) < 4(2)+2

7 < 8+2

7 < 10 (7 is less than 10)

Step-by-step explanation:

Answer:

i am at 22 i thinkkk

Step-by-step explanation:

25 quesion thingy

3x + 4y = 7 and 8x + 4y = 2
Are they parallel perpendicular or neither?

Answers

These equations that are neither parallel nor perpendicular.

DUE SOON!! easy middle school problem

Answers

Answer:

she made 36 lol

Step-by-step explanation:

90 divided by 2.5 =36

HAVE A NICE NIGHT!!!!! :))

Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.

(1, 2), (2, 3), (4, 7)
(2, 2), (4, 4), (6, 6)
(3, 1), (4, 1), (5, 1)
(4, 1), (8, 2), (12, 3)
(2, 1), (4, 3), (5, 4)

Answers

( 1,3 ), )2,3 ),)4,6)

Put these numbers in order from least to greatest 3.5, -1, 4.8, -0.5, -4.2, 0.5, -2.1, -3.5

Answers

Answer:

-4.2, -3.5, -2.1, -1, -0.5, 0.5, 3.5, 4.8

Step-by-step explanation:

Hopefully this helps.

12-(2x4+1)
12(2x5)
12-10
2

It’s asking me if the students work was done correctly

Answers

No they should multiplied before adding

Answer:

1st they should multiply 2 and 4 first because you need to fallow order of operations you will get 8 then you add the 1 getting you 9 finally you subtracted 12 and 9 getting 3 so NO THE STUDENTS WORK WAS NOT DONE CORRECTLY

What is 128 1/5 in simplest radical form

Answers

Answer:

This is the simplest radical form of 128.

8√2 .

Step-by-step explanation:

√128=√16×√8→4×√4×√2=8√2 .

if you understand this plz help

Answers

The answer is A. [tex]\frac{(x-2)(x+6)}{x-6}[/tex].

NEED THIS RIGHT NOWW HELLPP PLEASE CLICK. WILL GIVE BRANLIEST


you gave 2/3 of your cookies away to the students in your math class, which was 24 cookies. How many cookies did you bake

Answers

Answer:

36

Step-by-step explanation:

24 divided by 2 is 12. 12=1/3. 12x3=36

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