The equations that are false for all real numbers of x are given as follows:
x² + 4 = 0.square root of x - 1 = -2.2(x - 4) = 2x - 4.How to obtain the equations which are false?To obtain the equations which are false, we have to consider the domain and the range of the functions in this problem.
We start at the first equation, given as follows:
x² + 4 = 0.
Isolating x², we have that:
x² = -4.
However, the range of the function y = x² is composed only by non-negative numbers, meaning that y = x² will never assume a value of -4, meaning that this statement is false for all real numbers.
The same holds true for the third item, which is the square root of x - 1 = -2. The range of the square root function is also composed by non-negative numbers, thus the statement is also false for all real numbers.
The final statement that is false is given as follows:
2(x - 4) = 2x - 4.
Applying the distributive property, we have that:
2x - 8 = 2x - 4
0x = 4
x = 4/0 (division by zero does not exist on the real set).
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g(x) = x² - 4x²+x+6
The simplified expression of g(x) = x² - 4x² + x + 6 is g(x) = -3x² + x + 6
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
g(x) = x² - 4x²+x+6
Rewrite properly
So, we have the following representation
g(x) = x² - 4x² + x + 6
Evaluate the like terms
g(x) = -3x² + x + 6
The above expression cannot be further simplified
Hence, the solution is g(x) = -3x² + x + 6
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Fractions on number line help!!!!!
Answer:
There are four small lines between 0 and 1 in the number line, they denote the decimals : 0.2, 0.4, 0.6 and 0.8. Put the SUM on the 0.4 line
15. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. When did Anisa and Keith have the same amount of stock value?
In 5th year, Anisa and Keith have the same amount of stock value. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year.
Define equation.In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.
Given
1. For Anisa
For our problem, we know that she will make $25 annually, thus if x denotes the number of years in which she will make this gain 25x. She made a $100 initial deposit, which is also known as y. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:
y = 25x + 100
2. For Kevin
He is currently losing $35 annually. Let the x years be represented. He will lose -35 times year because we know that losses are represented by a minus sign. We now know that her initial investment y in our situation was $400. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:
y = -35x + 400
On year 5th
For Anisa
y = 25(5) + 100
y = 125 + 100
y = 225
For Kevin
y = -35x + 400
y = -35(5) + 400
y = -175 + 400
y = 225
In 5th year, Anisa and Keith have the same amount of stock value.
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the gfc of 4800xy^3 , 1600y
The GFC of 4800xy³, 1600y is 1600y.
What is GFC:The greatest positive integer that evenly divides into all of the numbers with zero residual is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.
To find the GFC of a given number we will write them as a product of their prime factors.
Here we have
4800xy³ , 1600y
Write the given number as a product of prime numbers
4800xy³ = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × x × y × y × y
1600y = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y
Now list out the highest common factors
[ Here we will list out the factors which are common in both lists]
=> 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y
=> 1600y
Therefore,
The GFC of 4800xy^3 , 1600y is 1600y
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Please help me im trying to finish before deadline
The theorem that proves <DAE=<BAC is Pythagoras theorem.
What is Pythagoras theorem ?The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulas. In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.To learn more about Pythagoras theorem refer to:
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The point is located on the x-axis and 10 units to the left of the y-axis
The ordered pair is located at the x-y coordinate at (- 10, 0).
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x, y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, A point is located on the x-axis which is y = 0, and 10 units to the left of the y-axis which is x = - 10.
So, The location of the ordered pair (x, y) is (- 10, 0).
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PLEASE HURRY
Given:
1 = 4
2 = 3
Prove:
AB = CD
Which of the following triangle congruence theorems would be used in this proof?
ASA
AAS
SSS
ASA triangle congruence theorems would be used in this proof.
What is ASA rule ?
According to the ASA rule, two triangles are said to be congruent if any two of the angles and sides that make up one triangle are equal to the corresponding two angles and sides that make up the other triangle.
When two or more triangles are congruent, their corresponding angles and sides are also congruent, according to the formula CPCTC, which stands for "corresponding parts of congruent triangles are congruent".
So, AB=CD
Thus, ASA triangle congruence theorems would be used in this proof.
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The ratio of females to males at a movie is 8 7 If there are 28 males how many females
are in the movie
Answer: 32 females
Step-by-step explanation:
28 divided by 7 = 4
so, multiply 8 by 4 as well.
Answer: 32 females are at the movie
Step-by-step explanation:
8(females):7(males)
x:28
28/7= 4
x=4x8
x=32
There are 32 females
On Thursday the Meat King Market sold 210 pounds of ground beef. On Friday they sold twice
that amount. On Saturday they only sold 130 pounds. How much more meat did they sell on
Friday than Saturday?
Answer:
290
Step-by-step explanation:
210 x 2 = 420
420 - 130 = 290
what is 3f2 x 7f??????????????????????
Answer:
f1= -2+1/3
f2= 0
Step-by-step explanation:
3f^2+7f=0
a = 3; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·3·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
f1=−b−Δ√2af2=−b+Δ√2a
Δ−−√=49−−√=7
f1=−b−Δ√2a=−(7)−72∗3=−146=−2+1/3
f2=−b+Δ√2a=−(7)+72∗3=06=0
9. A straight line passes through points (2, 12) and (3, 8). What is the equation of the
line?
Does the graph represent a function?
a philosophy professor assigns letter grades on a test according to the following scheme. a: top 12 % of scores b: scores below the top 12 % and above the bottom 63 % c: scores below the top 37 % and above the bottom 22 % d: scores below the top 78 % and above the bottom 7 % f: bottom 7 % of scores scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1. find the numerical limits for a b grade. round your answers to the nearest whole number, if necessary.
Rounding to the nearest whole number, the limits for a 'b' grade are 75 and 81
In this question we have been given a philosophy professor assigns letter grades on a test according to the given scheme.
We need to find the numerical limits for a b grade.
b: scores below the top 12 % and above the bottom 63 % which means scores between the 63th and 88th percentile.
Given that the scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1
μ = 72, σ = 8.1
z-score at the 63th percentile: 0.332
z-score at the 88th percentile: 1.175
The lower limit of a 'b' grade is:
0.332 = X - μ/σ
0.332 = (X - 72)/8.1
2.67 = X - 72
X = 74.67
X ≈ 75
The upper limit of a 'b' grade is:
1.175 = X - μ/σ
1.175 = (X - 72)/8.1
9.52 = X - 72
X = 81.52
X ≈ 81
Therefore, you get a 'b' if you have a grade between 75 and 81
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if d is the standard deviation of x, y, and z, what is the standard deviation of x 5, y 5, and z 5 ?
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
In the given question, d is the standard deviation of x, y, and z.
We have to find the standard deviation of x+5, y+5, and z+5.
As we know that;
Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.
While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.
If we see that in each variable x, y, z a constant value 5 is added.
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
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The right question is:
If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?
Which of the following equations is parallel to 8x - 10y = -2 and contains (1, -2)?
1. 4x - 5y = -2
2. 5x - 4y = 6
3. 4x - 5y = 6
4. 4x - 5y = 14
needed as soon as possible
The linear equation that is parallel to 8x - 10y = -2 and contains (1, -2) is:
4x - 5y = 14
So the last option is the correct one.
Which of the following equations is parallel to 8x - 10y = -2?Remember that two linear equations are parallel only if both lines have the same slope (or coefficients if it is written in standard form) and different y-intercept.
Here our line is:
8x - 10y = -2
If we divide all the equation by 2, we will get:
(8x - 10y)/2 = -2/2
4x - 5y = -1
So any equation of the form:
4x - 5y = c, where c ≠ -1
Is parallel to 8x - 10y = -2
Now we want our line to pass through (1, -2), replacing these values in our line we get:
4x - 5y = c
4*1 - 5*-2 = c
4 + 10 = c
14 = c
Then the linear equation is:
4x - 5y = 14
So the correct option is the last one.
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please help with this
The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.
WILL MARK BRAINLEIST!!!
Thomas wants to start a canned food collection with his friends to help the community. They bring 2 cans of food the first day, 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer.
A.The graph of the sequence would pass the vertical line test.
B.The graph of the sequence would pass the horizontal line test.
C.Each day corresponds to a unique amount of cans in the sequence.
D.They have a different amount of cans for the same day.
The statement that describes why this sequence is a function is given as follows:
A.The graph of the sequence would pass the vertical line test.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to a single value of the output.
In this problem, the input is the number of days, while the output is the number of cans. There are no repeated inputs, which means that this relation is a function.
On the graph, a relation being a function means that a vertical line will intercept the graph of the function only once, and thus option A is correct.
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HELP ASAP PLEASE
FIND THE LENGTH FOR X
Answer:
6
Step-by-step explanation:
Corresponding sides of similar triangles have proportional side lengths.
[tex]\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6[/tex]
how long will it take (in years) for the disintegration rate of this sample to drop to 809 disintegrations per minute?
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
What is disintegrations?Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.
Here,
The formula for this is Activity = decay constant x atoms.
1238 = 2.64 x 1010 times the decay constant
decay constant is equal to 4.76 x 10-8 min-1.
Currently, the disintegrations are being slowed to 809 disintegrations per minute.
Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)
t=3.63x108min = 690.64y
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
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the following data reflects the overall enrollment in 10 universities of the open skies state in 2019 (again, the numbers are in thousands and are rounded): 23, 14, 27, 35, 7, 16, 25, 23, 35, 21. compute the mean and the irq of the data represented by your frequency plot.
The mean of the given data is 22.6
In the given question, the following data reflects the overall enrollment in 10 universities of the open skies state in 2019:
23, 14, 27, 35, 7, 16, 25, 23, 35, 21.
We have to compute the mean.
As we know that;
A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.
To find the mean we firstly add the given data then we divide the sum of data by the total number of data.
Mean = Sum of all data/ Total number
Mean = 23 + 14 + 27 + 35 + 7 + 16 + 25 + 23 + 35 + 21/10
Mean = 226/10
Mean = 22.6
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help me pleaseeeeeeee
Answer:
Step-by-step explanation:if angle a is 42 then b is 42 which means its 42 right, so its cos(42)=AB over 10, the last one its a educated guess.
For dinner one night, the
family went to the local
pizza parlor. The cost of a
soda was $3. If each
member of the family
had a soda and one slice
of pizza, how much did one
slice of pizza cost?
Humans are drawn to foods that are fatty, sweet, rich and complex. Pizza has all of these components.
What is the description of pizza?Pizzeria is another word for a pizza restaurant or pizza parlor – a place where pizzas are made, sold and served to customers. The term pizzeria comes from the product, pizza, and the suffix, -eria, which translates from italian to “place of” in english. Together, pizzeria means “place of pizza”.pizza, dish of Italian origin consisting of a flattened disk of bread dough topped with some combination of olive oil, oregano, tomato, olives, mozzarella or other cheese, and many other ingredients, baked quickly—usually, in a commercial setting, using a wood-fired oven heated to a very high temperature—and served hot .If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.Notice that I expressed cost in terms of cents so
that we can avoid having to deal with decimals.
In our second equation, 4 slices of pizza and
10 sodas cost $37, that's 4p + 10s = 3700.
Now let's rewrite our two equations on top of one another.
8p + 5s = 3650
4p + 10s = 3700
To solve this system of equations, I would use addition.
I would multiply the bottom equation by -2
to create a situation where our p's will cancel.
When we do that, we get -8p - 20s = -7400.
Now rewrite the equations once again ~
8p + 5s = 3650
-8p - 20s = -7400
Now add the equations together.
So we have -15s = -3,750.
Divide both sides by -15 and s = 250.
Remember that I expressed cost in terms of cents so
since s = 250, it really means that a soda is $2.50.
Now just plug an s back in for the s in one equation.
When we do this, we find that p = 300.
So a pizza is $3.00
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Write the following expression in simplest form.
the expression quantity negative three fifths times x minus 7 end quantity minus quantity negative 12 plus three tenths times x end quantity
negative nine tenths times x plus 5
negative nine tenths times x plus negative 5
three over 10 times x plus 5
three over 10 times x plus negative 19
The order of operations can be used to find the value of the expression in the simplest form which can be presented as follows;
(-3/5)·x - 7 - (-12 + (3/10)·x) = (-9/10)·x + 5
The correct option is the option;
The order of operations is the required sequence of performing mathematical operations that consists of multiple operations in an expression.
Negative nine tenths times x plus 5
What is the mathematical order of operations?The order of operations is the
The expression in the question can be presented as follows;
[tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right)[/tex]
Therefore; [tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right) = -\dfrac{3}{5} \times x - 7+12 - \dfrac{3}{10} \times x\right)[/tex]
[tex]-\dfrac{3}{5} \times x - 7+12 - \dfrac{3}{10} \times x\right) = -\dfrac{3}{5} \times x - \dfrac{3}{10} \times x +5 \right)[/tex]
[tex]-\dfrac{3}{5} \times x - \dfrac{3}{10} \times x +5 \right) = \left(-\dfrac{3}{5} - \dfrac{3}{10} \right)\times x +5 \right)[/tex]
[tex]\left(-\dfrac{3}{5} - \dfrac{3}{10} \right)\times x +5 \right) = \left(-\dfrac{(2\times 3+ 3)}{10} \right)\times x +5 \right)[/tex]
[tex]\left(-\dfrac{(2\times 3+ 3)}{10} \right)\times x +5 \right) = -\dfrac{9}{10} \cdot x + 5[/tex]
The expression is therefore; [tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right) = -\dfrac{9}{10} \cdot x + 5[/tex]
Which can be expressed as follows; (-9/10)·x + 5
The correct option is therefore; Negative nine tenths x plus 5
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Answer: A (-9/10 x+(5)
Step-by-step explanation:
I got it correct! Brainliest?
The function p(x) = x³ + x² = x³ + x²-x+ 5 is graphed on the coordinate plane. As x approaches positive infinity, what value does p(x) approach?
A. 0
B. 5
C. +infinity
D. -infinity
As x approaches positive infinity, the function r(x) approaches negative infinity.
What is a function approaches infinity?
In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.
As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.
In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.
Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.
For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.
Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.
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how would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details
Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.
Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.
Complete question:-
How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?
a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size
b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size
c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size
d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size
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Given the figure below. Each side must be larger than zero. Find the minimum range for the value of z.
____ < z < 173
17
3
Round to the nearest tenth.
Answer:
1.5
Step-by-step explanation:
[tex]z+11>0 \implies z>-11 \\ \\ 4z-6>0 \implies z>1.5[ex]
The stricter bound is [tex]z>1.5[/tex].
Charlotte bought a magazine for $5 and four boxes of candy. She spent a total of $25. How much did each box of candy cost?
Answer: $5
Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:
[tex]\frac{20}{4}[/tex] = [tex]\frac{?}{1}[/tex]
So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:
5(4) + 5 = 25
We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00
The school's math team has 14 new members this year, which makes a total of 34. The number of new members represents about what percent of the total membership?
41% of the math team's total members are brand-new recruits.
What is percentage ?It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.
Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.
The percentage of the entire membership that the number of new members represents is determined to be
=(14/34)×100
=41 %
0.41 x 100 = 41%
This means that 41% of the club is new members!
Thus, the number of new members is 41% of the total membership of the maths team.
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An object is attached to a spring that is stretched and released. The equation d= -8cos (pi/6 t) the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
The time at which the object is 6 inches above the rest position will be 4.62 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.
d= - 8cos [(π/6) t]
If d = 6, then the value of the variable 't' is calculated as,
6 = - 8cos [(π/6) t]
- 3/4 = cos [(π/6) t]
cos [(77/100)π] = cos [(π/6) t]
Compare the angle, then we have
(π/6) t = (77/100)π
t / 6 = 77 / 100
t = 4.62 seconds
The time at which the item is 6 crawls over the rest position will be 4.62 seconds.
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Write the linear equation in slope intercept form
[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.
How do you write slope intercept form?Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.Y equals mx plus b is actually the slope intercept form. Because it provides both a slope and an intercept, the form is known as a slope intercept form.Given liner equation :
[tex]\frac{1}{3} z + y = 2[/tex]
[tex]y = 2 - \frac{1}{3} z[/tex]
[tex]y= - \frac{1}{3} z +2[/tex]
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