Solve the inequality $-4x > -24.$ Give your answer in interval notation.

Answers

Answer 1

Answer:

(negative infinity, 6)

Step-by-step explanation:

To get this:

1. -4x > 24

Divide by -4

2. x < 6

When you divide by a negative you have to flip the inequality. Therefore, any number that is less than 6 is the answer.

Answer 2

The solution of the inequality will be;

⇒ x ∈ (- ∞, 6)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - $4x > - $24

Now,

Solve the inequality as;

The inequality is,

⇒ - $4x > - $24

Multiply by - 1, we get;

⇒ $4x <  $24

Divide by 4, we get;

⇒ x < 6

⇒ x ∈ (- ∞, 6)

Thus, The solution of the inequality will be;

⇒ x ∈ (- ∞, 6)

Learn more about the inequality visit:

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Related Questions

For each number, determine if it can be written as a fraction. Then state the reason.

please help me

Answers

Answer:

1. No, This is a repeating decimal. (The line means it goes on forever) 2. No, this is a repeating decimal. 3. Yes. This is a decimal that neither terminates or repeats. 4. Yes. This is a decimal that neither terminates or repeats.

Step-by-step explanation:

Hope this helped!

1,2) no because they are repeating decimals
3,4) yes because neither of them are repeating decimals

PLS HELP ME!!! 10 POINTS FOR THE EXPLAINTION. The question is below:
The largest sandwich ever made weighed 5,440 pounds. If a regular sandwich weighs approximately a half pound, what fraction of a regular sandwich do you get?

Answers

Answer:

1/2

Step-by-step explanation:

You would have 1/2 pounds of the regular sandwich

Please help quickly
Which of the following is a linear function?
A: y = 3x^2.
B: y = 1/3x.
C: y = x^3 + 5.
D: 2/3 x = y - 1

Answers

B is the answer to you problem:)

Answer:

y= 1 over 3x

Step-by-step explanation:

What is 10.79 x 4.85 =
With the power of ten?

Answers

Answer

1.5403941e+17

Step-by-step explanation:

10.79*4.85=52.3315

52.3315 ^10= 1.5403941e+17

Answer: 1.5403941e+17

A.) m=5
B.) m= -5
C.) m= 1/5
D.) m= -1/5

Answers

The slope of this line is -5.

Answer:

-5.

Step-by-step explanation:

Which number line models the solution set of -2x + 7 > 17?

Answers

Answer:

Last option

I hope this helps!

Last one is the answer i hope i am right

Look at the picture and answer the question correctly.

Answers

Answer: This would be written in scientific notation which would be            5 x 10 ^ 4.

i need help with this one asap :{

Answers

It’s c hope it helps

what is the function of
{(-6,4), (5,-1), (0,3), (-2,4)}

Answers

Answer:

The inverse of f (x) = {(3,2), (5,4), (6,-2), (-5,1)} (function)

Help! please!! (Math)

Answers

27,375 because 300/4 = 75 x 365 = 27,375
I think it’s 12. Hope it helped.

solve for r: q = p(r + s)

Answers

Answer:

[tex]r=\frac{q-ps}{p}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASEquality PropertiesDistributive Property

Step-by-step explanation:

Step 1: Define equation

[tex]q=p(r+s)[/tex]

Step 2: Solve for r

Distribute p:                              [tex]q=pr+ps[/tex]Subtract ps on both sides:       [tex]q-ps=pr[/tex]Divide both sides by p:            [tex]\frac{q-ps}{p} =r[/tex]Rewrite:                                     [tex]r=\frac{q-ps}{p}[/tex]

Step-by-step explanation: To solve for r, start by distributing the p

through the parentheses on the left side to get q = pr + ps.

Next, isolate the r term by subtracting ps from both sides to get -ps + q = pr.

Finally, to get r by itself, divide both sides by p and we have -ps + q/p = r.

Help asap-----------------

Answers

Answer:

Mean: 652    Median: 83.5     mode: 52    range: 35

Step-by-step explanation:

Jamie believes that applying a scale factor of 1 would result in an enlargement. Do you agree or disagree with her claim? Explain.

Answers

Answer:

If the scale factor is 1, the figure and the image are congruent.

Step-by-step explanation:

If the scale factor is less then one, then it would be a reduction, but if the scale factor is greater then one, it would be an enlargement.

How many solutions does this equation have?

4m = 5 + 9m

Answers

Answer:

M=1

Step-by-step explanation:

-5M=5

M=1

Please help I need to get a good grade on this!

Answers

The correct answer is 1.5

Sarah thinks that the
following expressions are
equivalent:
2x + 3 = x/2+ 3/4
Is she right? If so, prove
that these two expressions
are equivalent. If not, what
error(s) did she make?

Answers

No they are not correct, 3/4 is not equal to 3
No Sarah is not correct. If you replace x with 1, the first equation would equal 5, but the second equation would equal 1. In addition, when she tried to do the inverse operation, she did the inverse operation on the factors, not the operation.

Kevin went to see his favorite sports team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of​ gas, how many miles did he travel?

(answer this and show your work)
Kevin traveled _answer here_ miles.
​(Type an integer or a​ decimal.)

Answers

Answer: 120

120

Step-by-step explanation:

I honestly can’t explain but I think you have to do this (actually I did the work so I’m right)

P/w = part/whole = ?/400

%/100= percent/100 = 30%/100

These numbers are equivalent

If you don’t understand the top then here is how to do the work-

400x30=12000

12000/100=120

Therefore it’s 120

Write the word sentence as an inequality. Then solve the inequality.

Four times a number x is at least −12.

Answers

the answer is 4x>_-12. the underscore is the line under the “>”

Answer:

-3

Step-by-step explanation:

-12 divided by 4 -3

Each pair of points lies on a line with the given slope. Find y.

Answers

Answer:

3/4

Step-by-step explanation:

If slope is 1/4, you have to assume it is multiplied by x. x in the second coordinate is 3. So you place in

1/4(x)=y

1/4(3)=y

3/4=y

And the other one is incorrect

1/4(x)=y

1/4(7)=y

1 3/4 =y

Hope This Helps

Can yall give me 4 examples of rules of exponents with answers pls?

Answers

Answer and Step-by-step explanation:

When multiplying two numbers (or variables) of the same exponent, the solution would have the exponents adding each other:

[tex]a^{x} * a^{y} = a^{x+y}[/tex]

When dividing two numbers (or variables) of the same exponent, the solution would have the exponents subtracting each other:

[tex]a^{x} / a^{y} = a^{x-y}[/tex]

When a number with an exponent is being raised to an exponent, the solution would have the exponents multiplying each other:

[tex](a^{x)^{y} } = a^{xy}[/tex]

When there are two variables in parentheses and an exponent on the outside, the exponent will power both variables:

[tex](ab)^{x} = a^{x} b^{x}[/tex]

Answer:

Product of powers rule. ...

Quotient of powers rule. ...

Power of a power rule. ...

Power of a product rule. ...

Power of a quotient rule. ...

Zero power rule. ...

Negative exponent rule.

Plz Answer This Mathematics Question??? NEED HELP ASAP

Answers

Answer: The answer is 1.00001 meters long

Step-by-step explanation:

Answer:

2 × 10 to the power of -6

Step-by-step explanation:

hope this helps :)

What is an equation of the line that passes through the points 8,-3 and 8,4?

Answers

The equation of the line is X=8

This is due like in 5 minutes. So help me pleasee.

Answers

The slope of the graph is 2

Answer:

m = 2

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

( - 4 , - 3 )

( - 5 , - 5 )

m = [tex]\frac{-5+3}{-5+4}[/tex] = 2

1.Amit buys a pair of jeans for $33. He must pay 7% sales tax. He gives the cashier $40. How much change does he receive back?
2. Harold buys a backpack that costs $24.80. It is on sale for 25% off. Harold also has a coupon for an additional 10% off the lowest price. What is the final price of the
backpack (not including tax)?
3. Sarah buys a book for her music lessons that cost $24. It is on sale for 15% off, and she must pay 5% sales tax. What is the final price of the book?
4. Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is $2.60. Erik has a coupon for 5% off his groceries. He does not need to pay tax. He gives the cashier $20. How much change does he receive back?
5. Liam buys a new TV that cost $360. The TV is on sale for 40% off, and the store is offering an additional 20% off all sale items. How much does Liam save on the TV?

Answers

Answer: The answer is $200

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

i took the test and got an a

Mrs. Kelly bought a bag of flour that holds 1623 cups of flour. Each loaf of banana bread uses 23 cup of flour.

How many loaves of banana bread can she make?

Answers

Answer:

69 loaves

Step-by-step explanation: (Sorry if you don't understand I am not that good at explaining)

First you need to divide 1,623 by 23 because each loaf is 23 cups of flour.

So 1,623 divided by 23 equals 70.56 but you can't have a fractioned number so it needs to be a whole loaf of bread so she can make 69 loaves of bread

Answer:
70.57 loaves of banana bread
Explaintion:
1,623 ➗ 23 = 70.5652173913043
Rounded: 70.57

Point E {0,-2} is a vertex of square DEFG. After a 90 clockwise rotation of the square about the origin, which of th following is the location of E,

Answers

Answer:

{0,2}

Step-by-step explanation:

(2,0) here is the answer

Can someone help me with this math question?

Answers

The answer is G because the graph is proportional since the rate is constant

Answer: F the graph shows a proportional relationship

Write a proportion that could be used to solve for each variable.
Then solve.
24 buttons in 4 packages

Answers

Answer:

6 buttons per package

Step-by-step explanation:

6 x 4=24

20 points! o(* ̄▽ ̄*)\
Write a linear equation in slope-intercept form to represent the data shown in this table.
Bicycle Rental Costs
Time, x(hours) Total cost, y(dollars)
1 $8
2 $16
3 $24

Show your work.

Answers

Answer:

[tex]\displaystyle y=8x[/tex]

Step-by-step explanation:

We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.

So, we will first need to determine the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are two points.

We have three points: (1, 8), (2, 16), and (3, 24).

Let’s pick two. We can use (1, 8) and (2, 16).

So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{16-8}{2-1}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{8}{1}=8[/tex]

So, our slope is 8.

Now, we can determine the equation using point-slope form:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is a point.

We know that the slope is 8, so we will substitute 8 for m.

We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:

[tex]\displaystyle y-8=8(x-1)[/tex]

Solve for y. Distribute the right:

[tex]\displaystyle y-8=8x-8[/tex]

Add 8 to both sides:

[tex]\displaystyle y=8x[/tex]

And we have our equation.

Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.

Answer:I believe its y=8x or y=8

Which partial quotients could be added to find 396 ➗ 12?
A 20 and 8
B 20 and 4
C 30 and 3
D 30 and 8

Answers

Answer:

divide 396 by 12 & you will get 396/12= 33

Step-by-step explanation:

When one number is divided by another number, the result is the quotient

So I think C) 30 and 3 is the best answer :))

The partial quotient of 396 ÷ 12 is 30 and 3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

396 ÷ 12

12 x 33 = 396

33 is the quotient.

A partial quotient of 33 can be.

30 and 3.

Thus,

30 and 3 are the partial quotient.

Learn more about expressions here:

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