The term factored form is an algebraic expression with the product of its factors
Here we need to define the factored form in math.
The factored form in math is known as the process of expressing a given number or algebraic expression as the product of its factors is called factoring.
The following three ways are used to convert any quadratic expression into factored form, that is
1) Finding GCD
2) Use identify that is a² - b²
3) Using the identity (x + a) (x + b).
Basically the factored form of a quadratic equations are very helpful in finding its roots or solutions.
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9973 is a prime number which is the sum of all the factors of 9973
Answer:
9974
Step-by-step explanation:
If 9973 is a prime number, then the only factors of 9973 is itself and one, therefore the factors are, "9973" and "1", and if we want to find the sum of that, we add it together to get 9974.
For what value of K the following linear equation has no solution?
For k = 2 the following linear equation has no solution. This can be solved by using systems of equation.
What are systems of equations?Simultaneous equations or system of equations, multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. There is no certainty of a solution even then.
When there is more than one unknown and there is sufficient data to set up equations in those unknowns, systems of equations are utilized to solve problems. In general, we require sufficient knowledge to construct an equations in n unknowns when they are unknowns.
We know that the system of equations,
a₁x + b₁y = c₁
a₂x + b₂y = c₂
has no solution, if: a₁/a₂ = b₁/b₂ = c₁/c₂
here, a₁ = 3, b₁ = 1, c₁ =1 and a₂ = 2k - 1, b₂ = k - 1, c₂ = 2k + 1
So, the given system of equations will have no solution, if:
3/(2k - 1) = 1/(k - 1) = 1/(2k + 1)
3/(2k - 1) = 1/(k - 1) and 1/(k - 1) = 1/(2k + 1)
now,
3/(2k - 1) = 1/(k - 1)
or, 3k - 3 = 2k - 1
or, k = 2
Clearly, for k = 2 we have: 1/(k - 1) = 1/(2k + 1)
Hence, the given system of equations will have no solution, if k = 2.
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The complete question is as follows:
For what value of k the following system of linear equations has no solution
3x + y = 1
(2k - 1)x + (k - 1)y = 2k + 1
PLEASE For which sample size (n) and sample proportion (6) can a normal curve be
used to approximate the sampling distribution?
O A. n=29; p = 0.3
OB. n=34; p = 0.4
OC. n=29; p= 0.9
OD. n=34; p = 0.2
Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).
Discover the distribution of samples?If np > 10 or n(1 - p) > 10 is true, the normal curve can be applied in this situation.
For example, if n = 28 and p = 0.3;
np = 28 × 0.3 = 8.4 < 10
It is thus useless.
B) In case n = 28 and p = 0.9;
np = 28 × 0.9 = 25.2 > 10 Ok
Not acceptable: n(1 - p) = 28(1 - 0.9) = 2.8
Thus, it cannot be applied.
C) With n = 32 and p = 0.4
np = 32 × 0.4 = 12.8 > 10 Ok
n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok
Thus, it can be utilized.
D) When n is 32 and p is 0.2
np = 32 × 0.2 = 6.4 < 10 Not Ok
So it is useless.
Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).
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Please help..... ASAP lots of points (just two questions)
Answer:
1. 3 3/4 in
2. 4 1/4
Step-by-step explanation:
look at graph
What function is a straight line?
In mathematics, a straight line can be represented by a linear function, which is defined as a function of the form y = mx + b, where m is the slope of the line and b is the y-intercept.
A Straight LineA linear function is a function whose graph is a straight line.
A straight line has the property that any two distinct points on the line can be used to define its slope, which is the ratio of the change in the y-coordinate to the change in the x-coordinate.
Linear equations can also be written in other forms, such as Ax + By = C, where A and B are not equal to zero.
The slope-intercept form is the most common form of linear equation used in algebra and it's the most easy to understand and use.
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According to Mars, Incorporated, 20% of its plain M&M'S candies are orange. Assume that the company's
claim is true. Suppose that you reach into a large bag of plain M&M'S (without looking) and pull out 8 candies.
Let X = the number of orange candies you get.
(a) How many different combinations are there for you to select 4 orange candies?
Answer: 4 different combinations
Step-by-step explanation:
20% is the same as saying 2/10
A group of 250 middle school students were asked whether they prefer playing video games or watching TV in their spare time. T
genders of the students and their responses are reported in the following table.
Girls
Boys
Playing video
games
43
62
Watching TV
87
58
(a) What percentage of the students are girls?
(b) What percentage of the students prefer playing video games?
The percentage of girls in the group of 250 middle school students is 40%.
The percentage of students who prefer playing video games is 36%.
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign (%). A percentage can represent a proportion or part of a whole. For example, if a person scored 80% on a test, it means they got 80 out of a possible 100 questions correct.
The percentage of the students who are girls is 250/250 x 100 = 100%.
The percentage of the students who prefer playing video games is (43+62)/250 x 100 = 50%.
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What are polynomials Class 9 examples?
A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
Polynomials are sums of k⋅xⁿ terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A primer on polynomials. This video defines words such as degree, standard form, monomial, binomial, and trinomial.
A polynomial may be categorized into four categories based on its degree. There are four types of polynomials: zero polynomial, linear polynomial, quadratic polynomial, and cubic polynomial.
A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.
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can someone please help me with these questions?
The expression 19([tex]\sqrt[5]{8}[/tex])^4 in rational exponent form is (152)^(4/5) and the expression (-4)^(2/7) in radical form is [tex]\sqrt[7]{(-4)^{2} }[/tex].
What is rational exponent form?
In the formula a^(p/q), where a is the base and p/q is the rational exponent and q≠0, rational exponents are exponents of numbers that are expressed as rational numbers.
The first expression is -
19([tex]\sqrt[5]{8}[/tex])^4
Solve it to get rational exponent form -
Apply the rule n√x^m=x^(m/n) to rewrite the expression as a rational exponent.
= 19([tex]\sqrt[5]{8}[/tex])^4
= 19 × ([tex]\sqrt[5]{8}[/tex])^4
= 19 × (8)^(4/5)
= (152)^(4/5)
The second expression is -
(-4)^(2/7)
Solve it to get the radical form -
Apply the rule x^(m/n)=n√x^m to rewrite the expression as a radical.
= (-4)^(2/7)
= [tex]\sqrt[7]{(-4)^{2} }[/tex]
Therefore, the values are obtained as (152)^(4/5) and [tex]\sqrt[7]{(-4)^{2} }[/tex].
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Determine the range of f(x) equals |X |+3
Answer:
3;+∞
Step-by-step explanation:
Youre playing a game and try to buy in game cash. Each 1 million is 30 cents. How many millions you can get for 5 dollars?
Answer:
To find out how many millions you can get for 5 dollars, we need to divide the total cost of 5 dollars by the cost per million.
The cost per million is 30 cents, which can also be written as $0.30.
So we can divide 5 by 0.30 to find out how many millions we can get for 5 dollars:
5 / 0.30 = 16.666 (approximately)
So, we can get approximately 16.666 millions for 5 dollars.
The doctor tells Emily that she needs to exercise enough to burn at least 200 calories each day. She prefers kickboxing or
swimming. While kickboxing she burns 10 calories per minute, and while swimming she burns 7 calories per minute.
Let x be the number of minutes she spends kickboxing and let y be the number of minutes she spends swimming. Write an
inequality that models this situation.
The inequality that models this situation is: 10x + 7y ≥ 200
This inequality can be read as "the number of calories burned kickboxing plus the number of calories burned swimming is greater than or equal to 200." The left side of the inequality represents the total number of calories burned, which is calculated by multiplying the number of minutes spent kickboxing (x) by the number of calories burned per minute kickboxing (10) and adding that to the number of minutes spent swimming (y) multiplied by the number of calories burned per minute swimming (7). The right side of the inequality is the minimum number of calories that need to be burned each day, which is 200.
Therefore, the inequality shows that the total number of calories burned through kickboxing and swimming should be greater or equal to 200 which is 10x + 7y ≥ 200.
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Challenge A family wants to rent a car to go on vacation. Company A charges $30.50 and 9c per mile. Company B charges $55.50 and 13¢ per mile.
How much more does Company B charge for x miles than Company A?
Company B charges $25 x miles than company A.
SolutionLet x = Number of miles.
Total charge = Flat charge + (charge per mile) x (Number of miles)
For Company A ,
Flat charge= $30.50
Charge per mile = 9 cents
For Company B,
Flat charge= $55.50
Charge per mile = 13 cents
Cost from company A = $30.50 + 9c x
Cost from company B = $55.50 + 13c x
Company B cost - Company A cost = $55.50 + 13c x - ($30.50 + 9c x) = $25 x miles.
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What is the range of function y =- 5?
The range of function y = -5 is a set containing only one number, -5.
A function assigns exactly one output value, y, for each input value x. In this case, the function is a constant function, it assigns the same output value, -5, for any input value.
In mathematics, the range of a function is the set of all possible output values (or y-values) of the function. It represents the set of all possible outcomes of the function. So the set of all possible output values is {-5} which is the range of the function.
In other words, the function takes any value from the domain (all real numbers) and maps it to the single value -5, which is the range.
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The number which divides the two or more numbers exactly is called
The number which divides the two or more numbers exactly is called a common divisor or a factor.
A common divisor, also known as a greatest common divisor (GCD), is the largest positive integer that divides two or more integers without leaving a remainder. For example, the GCD of 12 and 18 is 6, because 6 is the largest number that divides both 12 and 18 without leaving a remainder. The GCD can be found using the Euclidean algorithm or the extended Euclidean algorithm.
A factor is a number that divides an integer without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers divides 12 without leaving a remainder. Factors are used in various mathematical concepts such as prime factorization, greatest common divisor and least common multiple.
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The point (-3,0) is on the graph of the function y = f(x). Which point cannot be on the graph of y = f(x) ?
(3, 0)
(-3, -3)
(0, 0)
(0, -3)
Answer:
(-3,-3)
Step-by-step explanation:
The point (-3,0) is on the graph of the function y = f(x), the point cannot be on the graph of y = f(x) is (-3, -3). So Option B is correct
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
A function y = f(x)
A point which lies on the function (-3, 0)
for x = -3 value of y is equal to 0
So, according to definition of function for x = -3, there will be only one value of y which is equal to zero,
Therefore, the point (-3, -3) can not lie on the function y = f(x)
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what is the total of 6000+6+0.07
Answer:
6,006.07
Step-by-step explanation:
6000+6=6006
6006+0.07= 6,006.07
The Panama Canal is about 50 miles long. How many yards long is the Panama Canal?
Length of the Panama canal in yards = 88000 yards.
Measuring Lengths:
The act of measuring an object's length in one or more specified units which may be standard or non-standard is referred to as length measurement.
Understanding and being able to measure the lengths of items is a very important ability since it enables us to engage with our surroundings in a more structured way.
Units of lengths and their values.
1 meter = 100 cm
1 kilometer = 1000 cm
1 mile = 1760 yards
1 nautical mile = 1.151 miles
1 furlong = 220 yards
Given that, The Panama Canal is about 50 miles long.
As we know, 1 mile = 1760 yards
=> 50 miles = 50 × 1760 yards = 88000 yards
Therefore,
Length of the Panama canal in yards = 88000 yards.
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What is the lowest positive whole number that should replace the question mark on the spinner so that the probability of spinning an odd number greater than 6 is 1/4
Half the time, an odd number will come up on the roulette wheel.
What does probability mean?Calculating the likelihood of an event occurring is done in mathematics using probability.
Calculating the likelihood of an event occurring is done in mathematics using probability.
It is somewhere between 0 and 1, or 0 and 100%, where 0 is unlikely and 1 or 100 is a guarantee.
By dividing an event's likelihood by the total probability, the probability is determined.
Three of the six digits in the provided question are odd, while three are even.
3/6 = 1/2 is the likelihood that the spinner will land on an odd number.
The complete question is,
How likely is it that a spinner will produce an odd number?
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What are the 3 equations of a line?
The three form of equations of a line:
point-slope form,
standard form,
and slope-intercept form.
We know that the standard form of the equation of a straight line is ax + by + c = 0, where a, b, c are real numbers.
Sometimes equation of line is of the form y = mx + b where m is the slope (or gradient) and b is the y-intercept (the height at which the line crosses the y -axis)
This form of equation of line is also known as slope-intercept form of line.
If we know the slope of the line and a point (x₁, y₁) , then the equation of line passing through point (x₁, y₁) with slope m is:
(y - y₁) = m(x - x₁)
Thus, there are three major forms of equation of line are: point-slope form, standard form, and slope-intercept form.
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Naoko leased a car for 4 years
by first making a down
payment of $950, and her
monthly payment was
$302.46. All else being equal,
give an example of a down
payment that Naoko could
have made that would have
resulted in a smaller monthly
payment.
Naoko could have made a down payment of $500 instead of $950.
What is payment? Payment is usually made in exchange for goods or services, and it is an essential part of any transaction. Payment helps to create trust between parties, and it is a key factor in keeping businesses and economies running smoothly.
This would have resulted in a smaller monthly payment of $253.37, a savings of $49.09 each month. In the long run, this would amount to a total savings of $1,964.36 over the course of the 4-year lease.
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I don’t understand how to do 2
Answer:
1.75
Step-by-step explanation:
Malik created a model of a rectangular flag. His model is 1010 inches long and the actual flag is 2525 inches long. How many times wider is the actual flag than malik's model?.
The actual flag is 2.5 times wider than Malik's rectangular model, meaning that it is 250% wider than the model he created.
Step 1: Calculate the width of Malik's model: 1010 inches
Step 2: Calculate the width of the actual flag: 2525 inches
Step 3: Divide the width of the actual flag by the width of Malik's model: 2525 / 1010 = 2.5
Malik created a model of a rectangular flag that was 1010 inches long. However, the actual flag was 2525 inches long. To figure out how many times wider the actual flag was than Malik's model, we needed to calculate the ratio of the widths. To do this, we divided the width of the actual flag (2525 inches) by the width of Malik's model (1010 inches). This gave us a ratio of 2.5, which means that the actual flag was 2.5 times wider than Malik's model. This can also be expressed as 250%, since 2.5 is the same as 250%. This means that the actual flag is 250% wider than the model created by Malik.
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Which axis is domain?
Answer:
x-axis
Step-by-step explanation:
because the domain refers to the set of possible input values
Let x= -15/6 and y= -15/3. Which expression has a negative value?
PLEASE HELP!! ONLY ANSWER QUESTION IF YOU KNOW THE ANSWER! WILL VOTE BRAINLIEST! 10 POINTS!
Answer:
15/3.
hope you like it.
: )
What is the slope of the graph of the equation 3x 2y 6?
The slope of the graph of the equation 3x + 2y = 6 is -3/2.
In the given question, we have to find the slope of the graph of the equation 3x + 2y = 6.
The slope-intercept version of the line's equation is what we need. In other words, we want y=mx+b in the form of ax+by=c. M is the slope and b is the y-intercept in the slope-intercept form.
The equation for the line intercept form is
y = mx+c
3x + 2y = 6
2y = 6-3x
y = [tex]\frac{6-3x}{2}[/tex]
y = 6 - [tex]\frac{3x}{2}[/tex]
y = -[tex]\frac{3x}{2}[/tex] + 3
The line's slope is (m) = -3/2.
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What is the multiplicative inverse of (- 3 4?
Multiplicative inverse of -3/4's is -4/3
A number that, when multiplied by the inputted number, produces the result 1 is said to be the multiplicative inverse of that number. It is a number's reciprocal according to the multiplicative inverse definition. A^-1 or denotes the multiplicative inverse of the number "a".
The multiplicative inverse of a number x is represented by x^-1, which has the property that when multiplied by the original number, it has a value of 1. For instance, 2^-1 is the multiplicative inverse of 2, as it meets the formula: 2 x 2^-1 = 2 x 12 = 1. The reciprocal of a number is another name for it.
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Identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. Also identity the number of individuals included in the summary.
Age (yr) when award was won: 20-24, 25-29, 30-34, 35-39, 40-44, 45-49, 50-54 Frequency: 29, 36, 15, 3, 6, 2, 2
The lower class limits for the given frequency distribution are 20, 25, 30, 35, 40, 45, and 50. The upper class limits are 24, 29, 34, 39, 44, 49, and 54.
The class width is 5 for all classes. The class midpoints are 22, 27, 32, 37, 42, 47, and 52. The class boundaries are 19.5, 24.5, 29.5, 34.5, 39.5, 44.5, 49.5, and 54.5. There are a total of 83 individuals included in the summary.
To calculate the class midpoints and class boundaries, we use the following formulas. The class midpoint (x) is calculated by adding the upper and lower class limits and dividing by two. The class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class limit. For example, for the first class, the lower class limit is 20 and the upper class limit is 24. The class midpoint is (20 + 24)/2 = 22. The class boundaries are 19.5 and 24.5.
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Like V has an equation of y=-10/9x-3. Perpendicular to line V is line W, which passes through the point (2,3). What is the equation of line W?
Step-by-step explanation:
The slope of a line perpendicular to y=-10/9x-3 has a slope equal to the negative reciprocal of -10/9. The slope of line W can be calculated as follows:
m = -(-9/10) = 9/10
The equation of the line in point-slope form is:
y - 3 = (9/10)(x - 2)
Expanding the equation gives:
y - 3 = (9/10)x - (9/5)
Solving for y:
y = (9/10)x - (9/5) + 3
y = (9/10)x + (6/5)
The equation of line W is:
y = (9/10)x + (6/5)
1. Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).
2. Find the reflection of the point A(3, -2) through the mirror line of y = 1/2x −
Please answer BOTH questions in simple explanation!!!
The equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1) is y= 5/6 x-1/6.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given coordinate points are (5, 4) and (-1, -1).
Put (5, 4) and (-1, -1) in slope m = (y₂-y₁)/(x₂-x₁), we get
m= (-1-4)/(-1-5)
m= -5/(-6)
m =5/6
Substitute m=5/6 and (x, y)=(5, 4) in y=mx+c, we get
4=5/6 (5)+c
c=4-25/6
c=-1/6
Substitute m=5/6 and c=-1/6 in y=mx+c, we get
y= 5/6 x-1/6
Therefore, the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1) is y= 5/6 x-1/6.
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