You reverse the inequality symbol when you add the same positive number to or subtract the same positive number from both sides of an inequality. True False
Answers
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Related Questions
Find the 70th term of the following arithmetic sequence.
17, 20, 23, 26,
Answers
Answer:
Since it starts at 17 and is increasing by 3 each time, the 70th term will be:
17 + 3(70) =
17 + 210 =
227
In conclusion, 227 would be the 70th term in the sequence.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Step-by-step explanation:
Tn = a + (n - 1)d
n = 70, a = 17, d = > 20 - 17 => 3
T_70 = 17 + (70 - 1)3
T_70 = 17 + 69•3
T_70 = 17 + 207
T_70 = 224
1st question answer pls
Answers
let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).
So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)
Answer:
y = -3(x + 1)^2 + 2
Step-by-step explanation:
y = a(x - h)^2 + k is the vertex form of a quadratic, where
(x, y) are any point that lies on the parabola,a is a constant determining whether the parabola opens upward or downward,and (h, k) are the coordinates of the vertex.Finding (h, k):
We see from the graph that the vertex is a maximum and its coordinates are (-1, 2). Thus h is -1 and k is 2. Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).
Finding a:
In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k. We see that (0, -1) lies on the parabola so we can use this point for (x, y).
-1 = a(0 - (-1))^2 + 2
-1 = a(0 + 1)^2 + 2
-3 = a(1)^2
-3 = a
Thus, a = -3.
Thus, the exact equation in vertex form of the parabola is:
y = -3(x + 1)^2 + 2
I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.
PLEEEEEASE HEEEEEELPPPP
Answers
Answer:
x≤20
Step-by-step explanation:
x+5≤25
-5. -5
x≤20
Hopes this helps please mark brainliest
Answer:
The answer is B
Step-by-step explanation:
20+5=25 and x can be greater than or equal to 25
After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.
Answers
Answer:
6 days
Step-by-step explanation:
This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.
Day 1 = 26 miles
Day 2 = 13 miles (26÷2=13)
Day 3 = 6.5 miles (13÷2=6.5)
Day 4 = 3.25 miles (6.5÷2=3.25)
Day 5 = 1.625 miles (3.25÷2=1.625)
Day 6 = 0.8125 miles (1.625÷2=0.8125)
We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.
Lesson 17: Use the Four Operations to Solve Problems Cool Down: Andre's Balloons Andre has 125 balloons. He and 4 friends hung up some balloons for a party at school and now there are 80 balloons left. If each person hung up the same number of balloons, how many balloons did each person hang up? 1. Write an equation with a letter for the unknown quantity to represent the situation. 2. Solve the problem. Explain or show your reasoning.
Answers
a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.
b) An equation representing the situation is x = (125 - 80)/5.
What are the mathematical operations?The four basic mathematical operations include addition, subtraction, division, and multiplication.
The mathematical operations provide solutions to mathematical problems using operands.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.
The total number of balloons that Andre has = 125
The number of balloons remaining after hanging some for the school party = 80
The difference (number of balloons used) = 45 (125 - 80)
The number of friends who hang the balloons = 5
The number of balloons hung by each friend of Andre = 9 (45/5)
Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.
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radical form of a^2/5
help please
Answers
Answer:
The answer is ⁵√a²
Step-by-step explanation:
a⅖=⁵√a²
Solve for x:
2 - 6 = 0
X =
Help plz
Answers
Answer:
6
because when you subtract 6 from 6 you get 0
6 - 6 = 0
Tim bought a certain number of bags of chips that each cost $1.05. Write an expression to show the total cost.
Answers
x is the number of bags of chips
1.05x means "1.05 times x". You could write 1.05*x or omit the multiplication symbol all together.
For example, if he bought x = 100 bags then he would spend 1.05*x = 1.05*100 = 105 dollars.
Ronnie made a scale drawing of a shopping center. A bakery in the shopping center is 7 inches wide in the drawing. The actual bakery is 42 feet wide. What is the scale of the drawing?
Answers
Answer:
1:72
Step-by-step explanation:
The scale of a drawing is the ratio of the length in the drawing to the real length.
Drawing length: 7 inches
Real length: 42 ft × 12 in. / ft = 504 in.
Scale:
7 in. to 504 in.
Divide both numbers by 7:
1 in. to 72 in.
Scale: 1:72
Activity
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.
Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.
Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.
Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.
Answers
Step-by-step explanation:
We are told that she initially spends $36.50 at the clothing store plus 8% tax.
8% of $36.50 is:
8 / 100 * 36.50 = $2.92
Her total spending at the clothes store is therefore
$36.50 + $2.92 = $39.42
She then spend $25 to refuel her car.
She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.
20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.
80% of $23.50 is:
80 / 100 * 23.50 = $18.80
Therefore, her total cost (change in her account balance) is:
$39.42 + $25 + $18.80 = $83.22
The total charge to her account balance is $83.22.
Answer:
A)
Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.
The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).
Further simplify the expression by factoring -$36.50 from both terms:
-$36.50 + (0.08 × -$36.50)
=
-$36.50(1 + 0.08)
=
-$36.50(1.08).
B)
Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.
C)
The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign: -$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is -$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2) = -$23.50(1 – 0.2)
= -$23.50(0.8).
D)
clothing store:
-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)
gas station:
-$25
grocery store:
-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)
After adding the three expenses:
-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or
(-36.5)(1.08) + (-25) + (-23.5)(0.8).
E)
(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22
enjoy :)
What is the area of the polygon given below?
Answers
Answer:
340 i am pretty sure
Step-by-step explanation:
PLS HELP ASAPPPPPPP
I NEED HELP
Answers
The tables which shows a proportional relationship between x and y are table 3 and table 4.
Which table shows a proportional relationship between x and y?Using ratio to find the proportional relationship
Table 1
x : y = 8 : 8
= 1 : 1
x : y = 12 : 10
= 6 : 5
Not proportional
Table 2:
x : y = 2 : 3
x : y = 3 : 8
Not proportional
Table 3:
x : y = 5 : 3
x : y = 10 : 6
= 5 : 3
Proportional
Table 4:
x : y = 4 : 1
x : y = 16 : 4
= 4 : 1
Proportional
Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.
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A lock has two digit numeric code, with the numbers 1 through 7 available for each digit of the code. Note that numbers can be repeated in the code so there are 7 possibilities for each two digits. Find the total number of possible codes for the lock.
Answers
1,1 2,1 3,1 4,1 5,1 6,1 7,1
1,2 2,2 3,2 4,2 5,2 6,2 7,2
1,3 2,3 3,3 4,3 5,3 6,3 7,3
1,4 2,4 3,4 4,4 5,4 6,4 7,4
1,5 2,5 3,5 4,5 5,5 6,5 7,5
1,6 2,6 3,6 4,6 5,6 6,6 7,6
1,7 2,7 3,7 4,7 5,7 6,7 7,7
Therefore there are 49 possible combinations :)
discuss three dramatic techniques that makes the play look back in anger interesting
Answers
The three dramatic techniques that make "Look Back in Anger" interesting are social realism, strong language and rhetoric, and character conflict and dynamic relationships.
"Look Back in Anger" by John Osborne is a play known for its compelling portrayal of post-war disillusionment and social critique. Here are three dramatic techniques used in the play that contribute to its enduring interest:
1. Social Realism: Osborne employed social realism, depicting the gritty realities of working-class life, alienation, and societal discontent. This authenticity and portrayal of relatable characters and situations engage the audience emotionally and intellectually.
2. Strong Language and Rhetoric: The play is characterized by sharp, biting dialogue and impassioned monologues. The use of strong language and rhetoric adds intensity, captures the characters' frustrations, and conveys their anger and disillusionment effectively.
3. Character Conflict and Dynamic Relationships: The play revolves around intense conflicts between characters, particularly the central couple, Jimmy and Alison. Their volatile relationship and the clash between Jimmy's anger-fueled rebellion and Alison's desire for a different life create tension and keep the audience engaged.
Overall, these dramatic techniques of social realism, powerful language, and dynamic relationships make "Look Back in Anger" interesting by effectively portraying societal issues, engaging the audience emotionally, and highlighting the complexities of human interactions.
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Determine the value of y for the inequality 2 times the quantity y plus one third end quantity is greater than two thirds. y is greater than negative 1 over 36 y is less than negative 1 over 36 y > 0 y < 0
Answers
The value of y for the inequality is y > 0
How to determine the value of y for the inequality?
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:
2(y + 1/3) > 2/3
To determine the value of y in the inequality, you need to solve for y. That is:
2(y + 1/3) > 2/3
y + 1/3 > 1/3 (Divide both sides by 2)
y > 1/3 - 1/3 (Collect like terms)
y > 0
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the square of a number is 3 less than four times the number. which values could be the number?
Answers
Answer:
x could be 3 or 1
Step-by-step explanation:
x²+3=4x
x²-4x+3=0
(x-3)(x-1)
x could be 3 or 1
The values could be 1 or 3.
Let the number be n.In this exercise, you're required to write a mathematical (algebraic) expression for the given word problem and determine which values could be the unknown number.
Translating the word problem into an algebraic expression, we have;
\(n^{2} = 4n - 3\\\\n^{2} - 4n + 3 = 0\)
We would solve the quadratic equation by using the factorization method;
\(n^{2} - 3n -n + 3 = 0\\\\n(n - 3) - 1(n - 3) = 0\\\\(n - 1)(n - 3) = 0\)
Therefore, the values could be 1 or 3.
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A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers placed an ad online asking for volunteers to participate in the study, and 100 subjects replied. They are informed that one group of 50 will receive a new cream and the remaining group of 50 will receive a cream with no active ingredient. The subjects are numbered 1–100 and these numbers are put into a random number generator. The first 50 unique numbers will represent the subjects that will receive the new cream and the remaining 50 subjects will receive the inactive cream. All subjects are exposed to poison ivy and given their cream. They are asked to return in three days and report their level of irritation. The average scores for each cream are compared.
Does this procedure describe a completely randomized design for this experiment?
Yes, the subjects will be exposed to the poison ivy.
Yes, the subjects are randomly assigned to each treatment.
No, the subjects are asked to return in three days. It is possible that some of them may not return, which will introduce bias into the results.
No, the subjects are randomly assigned to the two treatment groups, but the groups are not guaranteed to have 50 subjects in each.
Answers
The procedure describe a completely randomized design for this research as B. Yes, the subjects are randomly assigned to each treatment.
How to illustrate the information?In a randomized block design, the experimental units are divided into groups that we refer to as blocks. The experimental units inside each of the blocks will then be randomly assigned treatments.
As we can see from the question, they were divided into Blocks based on how much sun exposure they received while engaging in outdoor activities. After that, random treatments are assigned to each group.
Here, the participants are divided into groups based on their sun exposure, and then both treatments are distributed at random among the groups.
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please helpppppppppppp
Answers
Answer:
UHHHHHHHHHHHHHHHHHHH ion know
Step-by-step explanation:
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
Answers
Brand B contains 3% saline solution by volume. Then, C is the right answer.
Percentage of saline solution in brand B, let x be.
We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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laws exponents division and simplifymake it small steps please the smallest you canbare minimum of steps
Answers
Here, we want to give the answer to the division expression
We can get this by spreading out the multiplication;
\(\begin{gathered} \frac{-8\times s\times s\times s\times s\times t}{16\times s\times t\times t\times t\times t} \\ \\ =\text{ }\frac{-1\times s\times\times s\times s}{2\times t\times t\times t} \\ =\text{ }\frac{-s^3}{2t^{3^{}}} \end{gathered}\)To solve the equation y – 4 = 9 for y, what operation must be applied to both sides in order to isolate the variable y?
Answers
Answer:
\(y-4=9\)
The opposite of subtraction is addition, so you would have to add 4 to both sides:
\(y-4+4=9+4\)
\(y=13\)
The value of the y for the equation,y – 4 = 9 will be y=13 and e have to apply the subtraction operation must be applied to both sides in order to isolate the variable y.
What are arithmetic operations?The subject of arithmetic operations includes the study of numbers and their operations, which are important to all other branches of mathematics. These systems' fundamental operations are addition, subtraction, multiplication, and division.
It is given that the equation is,y – 4 = 9.
We have to solve the equation y – 4 = 9 and find the operation that must be applied to both sides in order to isolate the variable y.
The following steps are to be taken to isolate the variable y.
y – 4 = 9
y-4+4=9+4
y=13
Thus, the value of the y in the equation, y - 4 = 9, will be 13, and in order to isolate the variable y, the subtraction operation must be done on both sides.
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Help pic is included y(x^2+1)=1
Answers
Answer:
C.
Step-by-step explanation:
The answer is C (-1, 1/2)
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Answers
Please solve this questions I don't know what to write....
I need the answers urgently so please someone can help me...
and I will make your brainlist too
Send the answers correctly or I will report the answer and delete the answer that you send if you send me the answers wrong
Answers
E.(12+6)÷(6-3)
hope it help to you
Answer:
a) 7(17-5)
b) (27+8)-9
c) (5-3)+27
d) 36÷ (9-5)
e) (12+6)÷(6-3)
f) (7x6)+(4-3)
there's your answer! :D
i have a lot of work but anyone know the answer to this one pls
Answers
Answer:
0.24
Step-by-step explanation:
Convert \(\frac{6}{25}\) into decimal
which will give 0.24
Review the graph of function g(x). On a coordinate plane, y = g (x) curves down through (negative 5, 2), has an inflection point at (0, negative 3), and curves down through (5, negative 6). Which point is on the graph of the inverse function g–1(x)?
Answers
Answer:
A. (–3, 0)
Step-by-step explanation:
......
The point through which the graph of g-1(x) passes is (-3,0) which is option (A).
What is the inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function.
What is point of inflection?The graph of a function changes concavity at inflection points (or points of inflection.
The point (0,-3) is lying on the graph y = g(x), now when we have to find a point lying on y = g-1(x) , the coordinates of this point will reverse as it is the point of inflection. So the coordinates of the point lying of y = g-1(x) will be (-3,0).
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What are the advantages and disadvantages of solving a system of linear equations graphically versus algebraically?
Answers
Answer:
Because it helps you to graph quickly, having both equations in Y= form makes this method useful. In contrast, if neither equation has Y isolated, you are better off using substitution or elimination.
Step-by-step explanation:
Pls tell me I really need help
Answers
Answer:
The answer is C or 44/12
Step-by-step explanation:
1/2 is equivalent to 3/6
1 4/6 is equivalent to 1 4/6 or 10/6
1 2/4 is equivalent to 1 3/6 or 9/6
When you add all of these together you get 22/6
Then you multiply 22/6 by 2 to get 44/12
Gina Wilson All Things Algebra 2015, Unit 11
Answers
Answer:
What are we answering?? theres nothing there
Step-by-step explanation:
Answer:
uhh there's nothing-
Step-by-step explanation: