Answer:
The second one.
(-7 ,-4, -3, 5, 7)
Step-by-step explanation:
the domain means the x values.
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i need help with this geometry question pleasee
Answer:i dont know
Step-by-step explanation:lol
Answer:
tmabm queria saber
Step-by-step explanation:
Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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The coordinate 1 has a weight of 4, and the coordinate 4 has a weight of 2. Find the weighted average.
Answer: 3
Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.
Answer: its 2
Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2
One number is six times as large as a certain smaller number. Let x represent the smaller number.
Write the number that is 20 more than the smaller number.
Answer:
24
Step-by-step explanation:
6x = x + 20
Subtract x from both sides
5x = 20
Divide by 5 on both sides
x = 4
Confirm
4 times 6 equals 24, and 4 + 20 is 24 as well.
1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26 seconds, and the average height of the bottle is 12 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 6 feet. A cosine function can model the movement of the message in a bottle in relation to the height.
Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points)
Part B: Assuming that at t = 0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? (5 points)
Part C: Based on the graph of the function, after how many seconds will it reach its lowest height? (5 points)
Show/Explain answer for each Part for the answer please
Answer:
See below for answers and explanations (along with a graph attached)
Step-by-step explanation:
Part A
The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet
Part B
The graph's function would be in the form of \(y=acos(bx+c)+d\) where \(a\) is the amplitude, \(\frac{2\pi}{b}\) is the period, \(-\frac{c}{b}\) is the phase/horizontal shift, and \(d\) is the average/midline.
We already know our amplitude of \(a=3\) from part A.
Since our period is given to us as 26 seconds, then we can use the equation \(\frac{2\pi}{b}=26\) to find \(b\), which happens to be \(b=\frac{\pi}{13}\).
Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity \(sin(x)=cos(x-\frac{\pi}{2})\) which shifts the cosine graph \(\frac{\pi}{2}\) units to the right. This means that \(c=-\frac{\pi}{2}\), making our phase shift \(-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5\), or 6.5 feet to the right
Our average/midline would be \(d=12\) as given as the average height by the problem.
Therefore, the function is \(f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12\)
Part C
Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).
Part A
The distance from the highest and lowest point is 6 feet. Cut this in half to find the amplitude: 6/2 = 3. The amplitude represents the vertical distance from the midline (aka average height) to either the peak or valley points.
The period is 26 seconds because this is the time difference from one max height to the next max height. This is one of a few ways to measure a full cycle. Another way is from min height to the next min height.
Answers:Amplitude = 3 feetPeriod = 26 seconds==========================================================
Part B
In this case, the template for cosine is
h = Acos(B(t-C))+D
We found the amplitude A = 3 from the previous section.
The period is T = 26 which means B = 2pi/T = 2pi/26 = pi/13
D = 12 because the average height is 12 feet. The average height is always on the midline.
We are told that t = 0 leads to h = 12, so,
\(h = A\cos\left(B\left(t-C\right)\right)+D\\\\h = 3\cos\left(\frac{\pi}{13}\left(t-C\right)\right)+12\\\\12 = 3\cos\left(\frac{\pi}{13}\left(0-C\right)\right)+12\\\\3\cos\left(\frac{\pi}{13}\left(-C\right)\right) = 0\\\\\cos\left(\frac{\pi}{13}C\right) = 0\\\\\)
Let's isolate the C term
\(\cos\left(\frac{\pi}{13}C\right) = 0\\\\\frac{\pi}{13}C = \arccos(0)\\\\\frac{\pi}{13}C = \frac{\pi}{2}\\\\C = \frac{\pi}{2}*\frac{13}{\pi}\\\\C = \frac{13}{2}\)
Answer: \(h = 3\cos\left(\frac{\pi}{13}\left(t-\frac{13}{2}\right)\right)+12\\\\\)==========================================================
Part C
A full period is 26 seconds.
At t = 0 the bottle is at a height of 12 feet
26 seconds later, the bottle is back again at 12 feet to repeat another cycle indefinitely.
At every quarter cycle, the object is either at a min point, max point, or at the average (midline).
So every 26/4 = 6.5 seconds the object will be in one of those places.
In this case, the object starts at 12 feet, goes up to the max 15 feet when t = 6.5
Then another 6.5 seconds later it's back to the midline again. Another 6.5 seconds later (total time is now 6.5*3 = 19.5 seconds) the bottle dips down to the min height of 9 feet. You should see that (19.5, 9) is one of the infinitely many minimum points on this particular cosine curve.
Answer: 19.5 seconds17. 17. The scores for a math test are shown below, ordered from smallest to largest. 60 61 62 63 63 64 64 65 66 66 66 69 72 72 72 74 75 80 82 84 86 86 87 87 89 89 90 93 94 98 Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (ex: 1,1,2,3). Stems Leaves
Answer:
Filling the values we have;
Explanation:
Given the data on the given table, we want to fill them in a stem leaves plot.
The tens values would be in the stems while the unit values will be written in their corresponding leaves.
Filling the values we have;
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A fruit company delivers its fruit in two types of boxes: large and small. This morning, the company made two deliveries. The table below shows the number of boxes in each delivery and the total weight (in kilograms).
Let x be the weight (in kilograms) of each large box.
Let y be the weight (in kilograms) of each small box.
(a). Write a system of equations that could be used to find the weight (in kilograms) of each type of box.
(b). How much does each type of box weigh (in kilogrames)?
Answer:
A. 5L + 3S = 135
7L + 9S = 255
B. Each small box weighs 13.75 kg
Each large box weighs 18.75 kg
Step-by-step explanation:
Part A:
Weight of each large box = L
Weight of each small box = S
✔️First Delivery:
Weight of 5 large boxes = 5L
Weight of 3 small boxes = 3S
Total weight = 135 kg
Equation that represents this would be:
5L + 3S = 135 ----› Eqn. 1.
✔️ Second Delivery:
Weight of 7 large boxes = 7L
Weight of 9 small boxes = 9S
Total weight = 255 kg
Equation that represents this would be:
7L + 9S = 255 ----› Eqn. 2
✔️System of equations would be:
5L + 3S = 135
7L + 9S = 255
Part B:
To find how much each box type weigh, solve simultaneously to find L and S.
5L + 3S = 135 ----› × 7
7L + 9S = 255 ----› × 5
35L + 21S = 945
35L + 45S = 1,275
Substraction
-24S = -330
Divide both sides by -24
S = 13.75
Each small box weighs 13.75 kg
Substitute S = 13.75 in eqn. 1 to solve for L
5L + 3(13.75) = 135
5L + 41.25 = 135
5L = 135 - 41.25 (subtraction property of equality)
5L = 93.75.
Divide both sides by 5
L = 18.75
Each large box weighs 18.75 kg
The rectangle shown has a perimeter of 84 cm and the given area. Its length is 6 more than 5 times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Name the special angle relationship between angle∠ 1 and angle∠ 2 .
1. Alternate Exterior
2. Alternate Interior
3. Corresponding
4. Same Side Interior
Answer:
corresponding angels
Step-by-step explanation:
Corresponding angles are angles that have the same relative position as one another. In other words, it's what you see here.
Yeah evaluate the following expression expression your answer in fraction form if needed be sure to use the correct order of operations.
Given:
\(\frac{-7+5\cdot8-6}{-3(5-8\div(-4+3))}\)Required:
We need to evaluate the given expression.
Explanation:
Use the BODMAS rule.
Solve the bracket (-4+3).
\(\frac{-7+5\cdot8-6}{-3(5-8\div(-4+3))}=\frac{-7+5\cdot8-6}{-3(5-8\div(-1))}\)Divide -8 by -1.
\(=\frac{-7+5\cdot8-6}{-3(5+8)}\)\(=\frac{-7+5\cdot8-6}{-3(13)}\)\(=\frac{-7+5\cdot8-6}{-39}\)Multiply 5 and 8
\(=\frac{-7+40-6}{-39}\)\(=\frac{27}{-39}\)\(=\frac{9}{-13}\)\(=\frac{-9}{13}\)Final answer:
\(\frac{-9}{13}\)Graph Linear equation y= -2x + 1/3
The graph of the function y = -2x + 1/3 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = -2x + 1/3
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of -2Shifted up by 1/3 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Evaluate the expression for r=250.
4.5r?
Answer:
you would do 4.5 * 250 and then you would get an answer of 1125
Step-by-step explanation:
hope this helps have a great rest of your day/night
Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?
The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).
To determine whether or not a relationship is proportional, we can see if two given ratios are the same.
Solving the QuestionWe're given:
Joe ran 400 meters in 1.5 minutes Joe ran 800 meters in 3 minutesThese pieces of information are ratios. We can write them in the following format:
\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}\) and \(\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)
We can see if they're equivalent by finding a common denominator.
Multiply the first ratio by \(\dfrac{2}2\):
\(\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}\)
The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.
AnswerYes, there is a proportional relationship.
please
\(2x {}^{2} + 2y {}^{2} - 6y - 12y = 3 \)
I need help
Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours
Answer:
260 miles in 4 hours equals (260 / 4) = 65 miles per hour
In 10 hours she can drive 650 miles
Step-by-step explanation:
Let S- (1,2,3,4,5,6) (a) How many subsets are there total? (b) How many subsets contain the elements 2,3 and 5? o) How many subsets contain at least one odd number? (d) How many subsets contain exactly one even number? (e) How many subsets are there of cardinality 4? (f) How many subsets of cardinality 4 contain the elements 2,3, and 5? (g) How many subsets of cardinality 4 contain at least one odd number? (h) How many subsets of cardinality 4 contain exactly one even number?
a) There are 2^6 = 64 subsets total.
b) There are 2^3 = 8 subsets total
c) There are 2^5 = 32 subsets total
d) There are 32^4 = 48 subsets total
e) There are (6 choose 4) = 15 subsets total
f) There are 32 = 6 subsets total
g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total
h) There are (3 choose 1) * (3 choose 3) = 3 subsets total
a) There are 2^6 = 64 subsets total.
b) Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.
c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.
d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.
e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.
f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.
g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.
h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.
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the cost of 7 calculator is rs. 1750 what will be the cost of 12 calculator
Answer:
See below.
Step-by-step explanation:
You have to find the unit price.
1750/7=250
Now, multiply the unit price by the desired amount.
250*12=3000
So, 12 calculators will cost 3,000.
-hope it helps
) Find the average gold medal winnings of those NOCs who have been
awarded fewer than ten bronze medals.
Count the number of those NOCs that have been awarded ten or more
silver medals.
This question requires the construction and interpretation of a pie chart based
on the data throughout this task.
a) Create a suitable and fully labelled pie chart to show the total medal
winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games.
Interpret the pie chart produced in Question 8a). Discuss two probable
justifications for the behaviour of the data.
a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:
Obtain the data for the medal winnings of the Top 10 NOCs
Find the average gold medal winnings of those NOCs who have beenawarded fewer than ten bronze medals.?Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)
Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option
Add a title and labels to the chart to show the NOCs and their corresponding medal winnings
b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:
Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.
Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.
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-4= 6 + b I need help in this question
2 + 2. what is the sum
Answer: 4
Step-by-step explanation:
Answer:4
2+2=4 if I have two apples and pick up two more I now have 4 total
Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) + 8 = 2(x + 5)
Step 2: Solve for x
(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10Combine like terms: 3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)Multiply: 18 + 8 = 26Add: 26 = 26Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
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The expressions are simplified to;
1. 72n² + 63n
2. 18t - 18t²
3. -18b² - 18b
4. -56r - 21r²
5. -6m + 9m²
What are algebraic expressions?Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.
These algebraic expressions are also made up of mathematical or arithmetic operations.
These operations are;
BracketParenthesesAdditionMultiplicationDivisionSubtractionFrom the information given, we have;
1. -9n (-8n -7)
expand the bracket
72n² + 63n
2. -2t(-9 + 9t)
expand the bracket
18t - 18t²
3. -3b(6b + 6)
expand the bracket
-18b² - 18b
4. -7r(8 + 3r)
expand the bracket
-56r - 21r²
5. 3m(-2 + 3m)
expand the bracket
-6m + 9m²
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The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
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During vacation, Dave and his brother, Scott, rode their bikes from their family's rental house
to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond
a few minutes before Scott. This weekend, they plan to ride a nearby mountain trail and turn
back after an hour if they can't complete it. Who will likely ride farther along the mountain
trail?
Answer:
dave
Step-by-step explanation:
Suppose that when a fabric production process is in control, the number of flaws in a piece of fabric of length l yards has a Poisson distribution with mean (.02)l. Suppose that periodically a length of fabric of 10 yards is inspected and the flaws are counted. If there are too many flaws, say more than k, the process will be presumed to be out of control, and stopped, and fixed. What should k be such that the probability of stopping the process when it is really in control is at most 5%
Answer:
Answer is attached below
Step-by-step explanation:
A length of fabric sampled = 10 yards
number of flaws in a piece of fabric having length = l yards
Poisson distribution mean = 0.02l
If the flaws are > k = process out of control hence would be stopped and fixed
Calculate The value of K such that the probability of stopping the process when it is really in control is at most 5%
using Poisson distribution
attached below is the detailed solution
Drag each tile to the correct location on the table. Each tile can be used more than once.
Match each equation to the value(s) of x that make the equation true.
Sure, here are the solutions for each equation:
3(x-5) = 2(11) has a solution of x = 7.
4(3x+7) = 512x + 8 has no real solution.
3(x+1)- 2x = x + 3 has a solution of x = 9.
3 = 3 is true for all values of x, so it doesn't have a specific solution.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.
Here,
1. 3(x-5) = 2(11)
To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.
2. 4(3x+7) = 512x + 8
To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.
3. 3(x+1)- 2x = x + 3
To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.
4. 3 = 3
This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.
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Gabriel buys 4 tires for $300.00. What is the price of 3 tires?
Answer:
$225
Step-by-step explanation:
300/4=75
75*3=225
The segment below is dilated by a scale factor of 22 to form I ′J ′ What is the measure of I ′J ′ ?
Answer:
18
Step-by-step explanation:
When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.
2*9 = 18
Why would it be difficult to model and solve equations with algebra tiles or balance scales
Solving equations with algebra tiles or balance scales is difficult due to its limitation which is explained below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Because of their 2-d existence, algebra tiles can only model graduate degrees or reduced polynomials. Their physical nature furthermore restricts the number of different factors that can appear in the algebraic expressions they model, as well as the complexity of their understanding of contradiction and subtraction.
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Evaluate 6 x (15 - 7) - 4
A: 10
B: 24
C: 44
D: 79
Answer:
44
Step-by-step explanation:
6 x (15 - 7) - 4
PEMDAS says Parentheses first
6 x (8) - 4
Then multiply
48 -4
Then subtract
44