What does it mean (to the process of finding all factors) that I have found 2 PRIME factors as a factor pair?

Answers

Answer 1

Answer:

It means that you are done.

Step-by-step explanation:

When you are trying to find factors of a number or an algebraic expression, you must keep on factoring until you have all PRIME factors. PRIME factors cannot be further factored. So that means you are done factoring.

example: (a number)

factors: 2 and 3

2 and 3 are prime they can't be factored anymore so you have completely factored 6.

example: 20

factors: 4 and 5

5 is prime but 4 is not, so you can factor it more.

4 is 2×2

So 20 factored is 2×2×5

Or algebra example:

Factor x^4 - 81

factors: x^2 - 9 and x^2 + 9

x^2 + 9 cannot be factored more (prime) but x^2-9 can. Its x-3 and x+3.

Related Questions

How do we calculate slope when given two points on a coordinate plane?

Answers

Step-by-step explanation:

Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.

Answer:

To find the slope, use the formula Rise over Run.

1.) Insert the Y coordinates into their correct space.

2.) Plug in the X coordinates.

3.) Subtract your Y coordinates.

4.) Subtract your X coordinates.

5.) Reduce if needed.

6.) You're done!

It costs $2.50 to rent bowling shoes. Each game $2.25. Write an equation that represents the cost, c, to bowl after g, number of games

Answers

In linear equation, $9.25, you can bowl a maximum of 3 games.

What in mathematics is a linear equation?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). The dependent variable in this scenario is y since it depends on the independent variable, x.

If it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as

C = 2.50 + 2.50x

If you have a total of $9.25, then

9.25 = 2.50 + 2.25x

Subtracting 2.50 from both sides of the equation, we get

9.25 - 2.50 = 2.50 + 2.25x - 2.25

6.75 = 2.25x

Dividing both sides of the equation by 2.25, we get

6.75/2.25 = 2.25x/2.25

x = 3

Therefore, with $9.25, you can bowl a maximum of 3 games.

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A. Find the equation of the L line that intersects graph C at point A (2, -5). B. Find the line equation with the coefficient of direction equal to -10 and touch and graph C

Answers

Graph C has a function

[tex]f(x)=2x^3-16x+11[/tex]

Since the line L intersects the graph at the point, A (2, -5)

To find the slope of the line we will differentiate the f(x) and substitute x by 2

[tex]\begin{gathered} f^{\prime}(x)=2(3)x^{3-1}-16x^{1-1}+0 \\ f^{\prime}(x)=6x^2-16 \\ m=6(2)^2-16 \\ m=24-16 \\ m=8 \end{gathered}[/tex]

The slope of the line is 8, substitute it in the form of the linear equation

[tex]\begin{gathered} y=mx+b \\ y=8x+b \end{gathered}[/tex]

To find b substitute x by 2 and y by -5

[tex]\begin{gathered} -5=8(2)+b \\ -5=16+b \end{gathered}[/tex]

Subtract 16 from both sides to find b

[tex]\begin{gathered} -5-16=16-16+b \\ -21=b \end{gathered}[/tex]

Then the equation of the line is

[tex]\begin{gathered} y=8x+(-21) \\ y=8x-21 \end{gathered}[/tex]

The larger of two numbers is five times the difference of the small number and one. If sum of the two numbers is 50 what are the two numbers?

Answers

Answer:

Step-by-step explanation:

40.833 recurring and 9.166 recurring

or 40 5/6 and 9 1/6

Call the small number 's'

Call the big number 'b'

The word problem says:

B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B

So, 5S-5=B=50-S

Therefore 6S=55 and the rest history!

Answer:

Step-by-step explanation:

Determine whether each function is quadratic function by graph

F(x) = 1/2 x - 4

Answers

It is not a quadratic function

Simply the equation 3(6+x)=-18

Answers

Answer 3(6 + x) = -18 is 3

Explanation.

-18 = 3(6 + x)

-18 = 18 + 3x

3x = 18 - 18

x = 0 + 3

x = 3

____________________

Class: High School

Lesson: Equation

[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]

a lecture hall at nc state has 220 seats with fold-down writing pedestals, 25 of which are designed for left-handers. an intro. to economics class with 215 students meets in this lecture hall. assume that 13% of the general population is left-handed. question 1. what is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? (use 4 decimal places.) question 2. what is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander? (use 3 decimal places.)

Answers

1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.

2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.

What is meant by Binomial probability distribution?

The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.

[tex]$P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$[/tex]

In which [tex]$C_{n, x}$[/tex] exists the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]$C_{n, x}=\frac{n !}{x !(n-x) !}[/tex]

And π exists the probability of X happening.

Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.

There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.

There are 215 students, so n = 215.

In this case, a success is a student being right-handed. So [tex]$\pi=0.87$[/tex].

There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find [tex]$P(X \geq 196)$[/tex]. Utilizing a binomial probability calculator, we find that [tex]$P(X \geq 196)=0.0382$[/tex]

So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.

There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.

In this case, a success is a student being left-handed. So [tex]$\pi=0.13$[/tex].

We have to find [tex]$P(X \geq 26)$[/tex].

Using a binomial probability calculator, we have that [tex]$P(X \geq 26)=0.6835$[/tex]

There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.

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What is the y value of the y-intercept of the line that contains the points (-8,-5)
and (10, 67)?

Answers

We will see that the linear equation that passes through the two given points is:

y = 4x + 28

So the y-intercept is y = 28.

How to find the y-intercept of the line?

First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

m = (y₂ - y₁)/(x₂ - x₁)

Here our line passes through (-8,-5) and (10, 67), then the slope is:

m = (67 + 5)/(10 + 8) = 4

So we can write:

y = 4*x + b

To find the value of b we can use the point (-8,-5), replacing these values we get:

-5 = 4*-8 + b

-4 + 4*8 = b

28 = b

So the y-intercept is 28.

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what’s the quadratic formula
2X-3X-3=0?

Answers

Formula of quadratic equations: ax^2+bx+c

what is the radius of the circle?

Answers

Answer:

7 units

Step-by-step explanation:

Hello!

The radius of a circle is the distance from the center of the circle to it's outer edge.

The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.

Answer:

7 units

Step-by-step explanation:

count from the center to the circle to one of the sides which is 7 units

pls help me super confused on inequality

Answers

40.50d - 400(0.12) ≤ 210

Solving ⬇️

40.50×d - 48 ≤ 210

40.50×d ≤ 210 + 48

40.50×d ≤ 258

d ≤ 258÷ 40.50

d ≤ 6.37

Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 л д) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units.

Answers

Answer:

Choice B.

Explanation:

The side length is the distance between the vertices of the triangle given.

Is a total of 13 horses complete in the horse race the bell mistakes and how many different ways can the top 5 position be arranged

Answers

SOLUTION:

Questions involving arrangement is permutation, while questions involving selection is combination.

Since the given question involves arrangement, so the correct option is PERMUTATION.

The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.

[tex]^{13}P_5\text{ = 154,440 ways}[/tex]

-7/9y = -42 solve for y and simplify your answer as much as possible. please answer this

Answers

Answer:

y = 54

Step-by-step explanation:

a) Multiply both sides by 9/(-7).

(9/-7) * (-7/9 y) = (9/-7) * (-42)

y = 54

A rental car company charges $53.46 per day to rent a car and $0.13 for every
mile driven. Mei Mei wants to rent a car, knowing that:
She plans to drive
350
miles.
She has at most $260 to spend.
Which inequality can be used to determine d, the maximum number of days
Mei Mei can afford to rent for while staying within her budget?

Answers

Answer: 260 is greater than 53.46 times X +.13×350

Step-by-step explanation: You know you have to stay under $260 because that’s all she has so that’s where you get to 260 is greater than

And she knows she’s going to go about 350 miles so 260 is greater than $.13 times 350+5346 times you don’t know how many days so that your variable X

Decide whether each statement is sometimes true, always true, or never true. If the statement is sometimes true give one example of when it is true and an example of when it is not. See Instructions."The linear regression line passes through the average of the x-values and the average of the y-values."Your answer:See Instructions. "A positive correlation coefficient means that the points in the scatterplot are very close together."Your answer:See Instructions."A correlation coefficient close to 1 means that a linear model is most appropriate for the data."Your answer:

Answers

In general, the linear regression formula is shown below

[tex]undefined[/tex]

I need explanation with this problem been struggling and it's practice for my exam coming up this semester

Answers

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

[tex]\begin{gathered} f\text{ + l = 2} \\ 90\text{ f + 60l = 160} \end{gathered}[/tex]

So, we proceed to solve these equations simultaneously

[tex]\begin{gathered} \text{from equation i, f = 2-l} \\ \text{substitute this into i}i \\ 90(2-l)\text{ + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-160} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30} \\ \\ l\text{ = }\frac{2}{3}\text{ hours} \end{gathered}[/tex]

To get f, we simply substitute l into the first part of the equations;

[tex]\begin{gathered} \text{from; f = 2-l} \\ \\ f\text{ = 2-}\frac{2}{3} \\ f\text{ = }\frac{4}{3}\text{ hours} \end{gathered}[/tex]

Since an hour is 60 minutes;

[tex]\begin{gathered} l\text{ = }\frac{2}{3}\times\text{ 60 = 40 minutes} \\ \\ f\text{ = }\frac{4}{3}\times60\text{ = 80 minutes} \end{gathered}[/tex]

Let g(x) be the transformation, vertical translation 5 units down, of f(x)= 3x+9. Write the rule for g(x).

Answers

We can see the next function:

[tex]f(x)=3x+9[/tex]

And we need to translate this function 5 units down, which results in the function g(x).

To find the rule for g(x), we can follow the next steps:

1. We know that the general rule for a function translated k units down is given by:

[tex]f(x)-k\rightarrow\text{ f\lparen x\rparen has been translated by k units down \lparen where k > 0\rparen.}[/tex]

2. Then if we translate the original function by 5 units down, we will have that:

[tex]\begin{gathered} f(x)=3x+9 \\ \\ \\ f(x)-5=3x+9-5\rightarrow g(x) \\ \\ \end{gathered}[/tex]

3. Therefore, g(x) will be:

[tex]\begin{gathered} g(x)=3x+9-5=3x+4 \\ \\ g(x)=3x+4 \end{gathered}[/tex]

Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).

What is the distance between the points (−7, −3) and (−7, −9) ? Responses

Answers

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

HURRY WILL MARK BRAINLIEST
Evaluate.

(18−42+2)21÷4⋅12

Responses

2

32

64

128

Answers

Answer:

128

Step-by-step explanation:

solve for inside parentheses:

-22x21÷4-12

do multiplication and division:

-115.5-12

subtract:

-127.5

Hope this helps

explain how you got the answer

Answers

Slope - 2/3

y - intercept : (0,3)

x | y

0 | 3

3 | 1

will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

Answers

Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

circle formula:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given:

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

put into circle formal format:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]

The center of the circle is at point (h,k)

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

center should be at: (1,-3)

Answer:

lower row, left grid.

Answer:

Lower left, bottm, circle

Step-by-step explanation:

See attached graph

Please fill in the blanks. I set it as 30 but I don't know how many points you get for answering lol

Answers

The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

In this question, we have been given a function y = k/d³

We need determine whether function is power function or not.

We know that, a power function is of the form y = x ^n where n is any real number.

We can write given function as,

y = k × d^(-3)

Given that, k represents a constant.

Here, the value of y depends on the value of d.

So, d is an independent variable and y is dependent variable.

also, the power of given function is -3

Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.

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The equation for line s can be written as y = 3/10x + 8. Line t is parallel to lines and passes through (-7, -2). What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).

What is the line's slope-intercept form?The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

y= 3 / 10x + 8

The slope-intercept form is

y=mx+b, where

m is the slope and b is the y-intercept.

y=mx+b

Reorder terms

y=3/ 10x+8

Use the slope-intercept form to find the slope and y-intercept.Using the formula y = m x + b, determine the values of m and b.

m=3/10 b=8

The value of m represents the line's slope, and the value of b represents the y-intercept.

Slope: 3/ 10, and the y-intercept is at (0, 8).

Two points can be used to graph any line. To determine the corresponding y values, enter the equation with two chosen x values.Phrase reordering y = 3 /10 x + 8The x and y values should be put into a table.

x y

0 8

10 11.

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how much rupees of 12 1/2% is Rs.45

Answers

Answer: Rs. 360

Step-by-step explanation:

let x of 12 1/2%=45

=> x.25/200=45

=> x/8=45

=> x=45.8

=> x=360

it is Rs 360

Lena purchased a prepaid phone card for 30.50 . calls cost 15 cents a minute using this card. the credit, c (in dollars), left on the card after it is used for minutes of calls is given by the following. how much credit is left on the card after lena uses it for 15 minutes of calls?

Answers

Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.

Given that,

Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls

It can be written as,

C(x) = 30.50 - 0.15x

C(x) = 30.50-(0.15 x 15)

after Lena uses it for 15 minutes,

C(x) = 30.50 – 2.25 = $28.25 in remaining credits.

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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.

We have given x = 2 and x = -2

Substitute the values in the given equations

Equation 1

x^2 - 4 = 0