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.
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)
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i need help with this one asap :{
Please help I need to get a good grade on this!
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.
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.
solve for r: q = p(r + s)
Answer:
[tex]r=\frac{q-ps}{p}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesDistributive PropertyStep-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-----------------
Answer:
Mean: 652 Median: 83.5 mode: 52 range: 35
Step-by-step explanation:
Look at the picture and answer the question correctly.
Answer: This would be written in scientific notation which would be 5 x 10 ^ 4.
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?
Answer: The answer is $200
Step-by-step explanation:
Answer:
$200
Step-by-step explanation:
i took the test and got an a
what is the function of
{(-6,4), (5,-1), (0,3), (-2,4)}
Answer:
The inverse of f (x) = {(3,2), (5,4), (6,-2), (-5,1)} (function)
What is an equation of the line that passes through the points 8,-3 and 8,4?
Each pair of points lies on a line with the given slope. Find y.
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
Which number line models the solution set of -2x + 7 > 17?
Answer:
Last option
I hope this helps!
A.) m=5
B.) m= -5
C.) m= 1/5
D.) m= -1/5
The slope of this line is -5.
Answer:
-5.
Step-by-step explanation:
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.)
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
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
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.
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Write a proportion that could be used to solve for each variable.
Then solve.
24 buttons in 4 packages
Answer:
6 buttons per package
Step-by-step explanation:
6 x 4=24
Can someone help me with this math question?
Answer: F the graph shows a proportional relationship
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,
Answer:
{0,2}
Step-by-step explanation:
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?
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
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?
How many solutions does this equation have?
4m = 5 + 9m
Answer:
M=1
Step-by-step explanation:
-5M=5
M=1
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?
Answer:
1/2
Step-by-step explanation:
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
Answer:
y= 1 over 3x
Step-by-step explanation:
This is due like in 5 minutes. So help me pleasee.
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
What is 10.79 x 4.85 =
With the power of ten?
Answer
1.5403941e+17
Step-by-step explanation:
10.79*4.85=52.3315
52.3315 ^10= 1.5403941e+17
Answer: 1.5403941e+17
Jamie believes that applying a scale factor of 1 would result in an enlargement. Do you agree or disagree with her claim? Explain.
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.
Plz Answer This Mathematics Question??? NEED HELP ASAP
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 :)
For each number, determine if it can be written as a fraction. Then state the reason.
please help me
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!
Write the word sentence as an inequality. Then solve the inequality.
Four times a number x is at least −12.
Answer:
-3
Step-by-step explanation:
-12 divided by 4 -3
Can yall give me 4 examples of rules of exponents with answers pls?
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.
Help! please!! (Math)