Answer:
f(x) / g(x) = x - 1 where x ≠ -1.
Step-by-step explanation:
f(x) / g(x) = x² - 1 / x + 1
= (x + 1)(x - 1) / (x + 1)
= x - 1.
Write an equation in slope intercept from that describes the data in the table. X -2, 1, 4, 6, 12 and y -6, -1.5, 3, 6, 13.5
Answer:
multiply
(x square + 5) ( x square +2x - 3)
Anna is knitting hats to give as gifts. Each one will use 1. 2 skeins, and she has 6 skeins of yarn available. With the yarn available, how many hats can anna knit?.
An equation which suggests how the range of skeins of yarn remaining, y, relies upon at the range of hats Anna knits, x is y =6- 1.2x.
An expression is a mathematical equation that is used to reveal the connection present among or extra variables and numerical quantities.
Let y constitute the range of skeins of yarn remaining. Let x constitute the range of hats Anna knits.
Mathematically, an equation which fashions the connection among x and y is given by: Mathematically, an equation which fashions the connection among x and y is given by
Remaining yarn = Total quantity of yarns -
Number of yarns used in keeping with hats
Substituting the given parameters into the formula, we have;
y = 6 - 1.2x
Read extra on equations here:
https://brainly.com/question/11567221
#SPJ4
Please help me ,really need help
The classification of each pair of angles is given below.
What is an angle?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together.
The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Corresponding angle = figure 3 and figure 5
Alternate interior angle = figure 4
Alternate exterior angle = figure 1
None of these = figure 2
Hence, these are the required answer.
To learn more about an angle
https://brainly.com/question/11524504
#SPJ1
someone answer what pair of transformations is equivelent to the transformation described by (xx,y) -(x,-y+1)?
The pair of transformations that is equivalent to the transformation described by (x,y) -> (x,-y+1) is (x, -y) and (x, y + 1)
How to determine the pair of transformations?From the question, we have the following parameters that can be used in our computation:
(x,y) ⇒ (x,-y+1)
The above represents the transformation from a point to the image of the point
The first transformation is from
(x,y) ⇒ (x,-y)
This represents a reflection across the x-axis
The second transformation is from
(x,-y) ⇒ (x,-y + 1)
This represents a translation up by 1 unit
Hence, the pair of transformations is (x,y) ⇒ (x,-y) and (x,-y) ⇒ (x,-y + 1)
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
Help pls I don’t understand
Answer: I think its
x>-10/3
Step-by-step explanation:
scores on an english test are normally distributed with a mean of 30.6 and a standard deviation of 6. a) what percentage of students score below 33? b) find the score that is at the 80th percentile.
(a) 0.65542 proportion of pupils receive a score below 33.
b) the score that falls within the 80% range is 35.64.
Given that,
English test results have a mean of 30.6 and a standard deviation of 6, and they are normally distributed.
We have to find
(a) What proportion of pupils receive a score below 33.
b) Determine the score that falls within the 80% range.
We know that,
X: Scores of an english test
X≈N(30.6 , 6²)
(a) P(X<33)= P(Z<33-30.6/6)
=P(Z<0.4)
=1-P(Z>0.4)
=1-0.34458
=0.65542
(b) P(X<x)=0.80
P(Z<x-30.6/6)=0.80
1-P(Z>x-30.6/6)=1-0.80
P(Z>x-30.6/6)=0.20
x-30.6/6=0.20
x= 35.64
Therefore,
(a) 0.65542 proportion of pupils receive a score below 33.
b) the score that falls within the 80% range is 35.64.
To learn more about score visit: https://brainly.com/question/10902961
#SPJ4
Determine the value of n that makes a system of equations with a solution that has a y-value of 2.
5x+6y= 32
2x + ny = 18
n=
(Simplify your answer.)
The value of n that makes a system of equations with a solution that has a y-value of 2 is n = 5
What is a system of equations?A system of equations is a pair of equation that contain two unknowns.
How to find the value of n in the system of equations?Given the system of equations
5x+6y= 32 (1)
2x + ny = 18 (2)
We desire the value of n where the value of y is 2
First, we make x subject of the formula from equation (1)
So, x = (32 - 6y)/5
Substituting x into equation (2), we have that
2x + ny = 18 (2)
2(32 - 6y)/5 + ny = 18 (2)
(64 - 12y)/5 + ny = 18
Multiplying through by 5, we have
64 - 12y + 5ny = 90
We now make n subject of the formula.
64 - 12y + 5ny = 90
- 12y + 5ny = 90 - 64
(- 12 + 5n)y = 26
-12 + 5n = 26/y
5n = 26/y + 12
n = 26/5y + 12/5
Since y = 2, substituting y into the equation, we have
n = 26/5(2) + 12/5
n = 26/10 + 12/5
n = (26 + 24)/10
n = 50/10
n = 5
So, the value of n = 5
Learn more about system of equations here:
https://brainly.com/question/28196676
#SPJ1
A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linear function that combines a one time membership fee with a per disc rental rate. The table shows the total cost, including membership fees, for a person who rents 1,2 and 5 discs in a month
Discs rented plan A B C D
1. $14. $12. $10. $12
2. $17. $16. $15. $21
5. $26. $28. $30. $48
The plan with the smallest one-time membership fee is Plan D.
The point-slope formula will be used to determine the equation that models the cost of each plans.
(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
where (x₁, y₁) is the coordinates of point 1
(x₂, y₂) is the coordinates of point 2.
For the equation y = mx + b,
let x = number of discs rented
y = total cost
m = rental rate per disc
b = one-time membership fee
Plan A
(y - 14) = [(17 - 14)/(2 - 1)](x - 1)
y - 14 = 3x - 3
y = 3x + 11
Plan B
(y - 12) = [(16 - 12)/(2 - 1)](x - 1)
y - 12 = 4x - 4
y = 4x + 8
Plan C
(y - 10) = [(15 - 10)/(2 - 1)](x - 1)
y - 10 = 5x - 5
y = 5x + 5
Plan D
(y - 12) = [(21 - 12)/(2 - 1)](x - 1)
y - 12 = 9x - 9
y = 9x + 3
Hence, the plan with the smallest one-time membership fee, b, is Plan D.
Your question is incomplete, but most probably you are asking
"...Which plan has the smallest one-time membership fee?"
Learn more about point-slope formula here: https://brainly.com/question/6497976
#SPJ4
20 Emily wants to insert nine numbers into the 3 x 3 table so that the sum of the numbers in two adjacent cells (with a common side) is always the same. She has already written two numbers into the table. How big is the sum of all nine numbers? 8 (0) (D) 22 (B) 20 (C) 21 (0) 19 (E) 23
Answer:
D) 22
i hope it's correct
The requried sum of all nine numbers would be equal to 22. Option B is correct.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
For 3 x 3 tables,
Emily already wrote two numbers one is 2 in the 1 cell of the table and 3 in the 6th cell of the table.
For the given conditions for each side of cells in the table, the sum of the two adjacent cells must be equal.
So, If two is located at 1st cell, we put 3 on both the adjacent sides of 2 and 2 on both adjacent sides of 3 so that the sum equal to 5,
And the whole 3x3 table is given as,
2 3 2
3 2 3
2 3 2
Now, sum of all the digits, = 2 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 = 22
Thus, the requried sum of all nine numbers would be equal to 22. Option B is correct.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ2
earnings. 2. A minibus had 23 passengers at the beginning of a journey. Twelve passengers alighted at the hrst stop while 9 boarded. Six of those who boarded at the first stop alighted at the second stop and 12 got in. the minibus should not stop again up to the final destination. The charges from the starting point were sh.50 up to the first stop sh. 70 up to the second stop and sh.85 up to the first destination. a) How many passengers alighted at the final destination? b) How many passengers were ferried by the minibus through the journey? c) How much money was collected during the trip?
. A minibus had 23 passengers at the beginning of a journey. The passengers alighted at the final destination, passengers were ferried by the minibus through the journey, and money collected during the trip are
20 passengers alighted. 24 passengers 2820 shillings. How many passengers alighted at the final destination?Generally, a) The minibus had
23 - 12 + 9 = 20 passengers at the first stop.
After the second stop, it had
20 - 6 + 12 = 26, passengers.
At the final destination, 26 - 6 = 20 passengers alighted.
b) The minibus ferried a total of
23 + 12 + 9 - 6 - 12 = 24 passengers through the journey.
c) The charges for the first stop were
50 * 12 = 600 shillings.
The charges for the second stop were
70 * 6 = 420 shillings.
The charges for the final destination were
85 * 20 = 1700 shillings.
The total amount of money collected during the trip was
600 + 420 + 1700 = 2820 shillings.
Read more about the journey
https://brainly.com/question/8912252
#SPJ1
Do anyone know the answers?
Answer:
e is 9x D is 4x c is 1× and a is 5× and b is 2×
How do you find the slope of the line passing through the points (-10, 5), and (2, 5) ?
Answer:
0
Step-by-step explanation:
slope = (5-5)/(-10-2)
0/-12
0
The equation f(t) = 24,500 x (0.88)t represents the value of a car, in dollars, years after it was purchased.
What do the numbers 24,500 and 0.88 mean?
What does represent?
Sketch a graph that represents the function and shows and .
the function should be represented as f(t) = 24,500( 0.88[tex])^{t}[/tex]
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Given, f(t) = 24,500 x (0.88)t
Assuming that the value of the car only increases by 88% per year compared to the previous year, the function rule needs to have "t" as the exponent, thus it should be f(t) = 24,500( 0.88[tex])^{t}[/tex]
Hence, the function should be represented as f(t) = 24,500( 0.88[tex])^{t}[/tex]
Learn more about equations, by the following link
brainly.com/question/2972832
#SPJ1
2. The sum of eight squared and the quantity four times eleven
Answer:
Step-by-step explanation:
8^2 = 64
+
4*11 = 44
-> 64 + 44 = 108
Solving the linear system of equations using elimination.
8x - 6y= -20
-8x + 4y = 24
Answer:
j
Step-by-step explanation:
Answer:
the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
Step-by-step explanation:
To solve a system of linear equations using elimination, we can add or subtract the equations to eliminate one of the variables. In this case, we can add the given equations to eliminate the variable x.
The given equations are 8x - 6y = -20 and -8x + 4y = 24. We can add these equations by aligning the like terms and then combining them. This gives us:
8x - 6y = -20
-8x + 4y = 24
-16x + 8y = -20 + 24
-16x + 8y = 4
Dividing both sides of the equation by 8, we get:
-2x + y = 1/2
Therefore, the solution to the system of equations is x = -1/2 and y = 1/2.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -1/2 and y = 1/2 into the first equation, we get:
8(-1/2) - 6(1/2) = -20
-4 - 3 = -20
-7 = -20
This is not a true statement, so our solution is not correct.
One mistake we made was adding the equations instead of subtracting them. If we subtract the second equation from the first equation, we get:
8x - 6y = -20
-8x + 4y = 24
8x - 6y - (-8x + 4y) = -20 - 24
2x - 2y = -44
Dividing both sides of the equation by 2, we get:
x - y = -22
Therefore, the solution to the system of equations is x = -22 and y = -22.
We can check our solution by plugging these values into the original equations to verify that they are true statements. Plugging x = -22 and y = -22 into the first equation, we get:
8(-22) - 6(-22) = -20
-176 + 132 = -20
-44 = -20
This is a true statement, so our solution is correct. Similarly, plugging x = -22 and y = -22 into the second equation, we get:
-8(-22) + 4(-22) = 24
176 - 88 = 24
88 = 24
This is also a true statement, so our solution is correct. Therefore, the solution to the system of equations 8x - 6y = -20 and -8x + 4y = 24 is x = -22 and y = -22.
find the absolute maximum and absolute minimum (if any) of the given function on the specified interval. f (x)
The answer of the function found to be x = −4 and x = 2, with M = 38.
We must consider the function,
f (x) = x³ + 6x² + 6
Over the interval
-5 [tex]\leq[/tex] x [tex]\leq[/tex] 2
To obtain the extrema we start from the function's derivative.
f' (x) = 3x² + 12x
Equating it to 0,
f' (x) = 0 = 3x(x +4) = 0
We arrive at two solutions,
x1 = 0, x2 = -4 both inside the interval.
Evaluating the function at the stationary points,
f (x1) = 6
f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38
These values must be compared to that of the function at the interval frontiers,
f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31
f (2) = 2³ + 6 . 2² + 6 = 38
Comparing the results we can conclude that the function attains its absolute minimum at,
x = 0, m = 6
Meanwhile, the absolute maximum is attained at the points,
x = −4 and x = 2, with M = 38.
Learm more about maxima and minima here; https://brainly.com/question/82347
#SPJ4
The equation 7.50h+50/4h=18h+33 represents a possible constraint about a situation
A. Solve the equation and check your solution
The equation 7.50h + 50/4h = 18h + 33 which represent a possible constraint about a situation gives the value of h as 16.5
Hiw to solve equation?
7.50h + 50/4h = 18h + 33
Collect like terms
7.50h + 50/4h - 18h = 33
7.50h + 12.5h - 18h = 33
2h = 33
divide both sides by 2
h = 33/2
h = 16.5
In conclusion, the value of h from the given equation is 16.5
Read more on equation:
https://brainly.com/question/13763238
#SPJ1
Find the 55th term of the arithmetic
sequence 8, 24, 40,
how other statistucal values are used to summarize data
Statistics regularly employs tables, charts, and graphs to present data visually.
What is meant by statistical values?Data can be summarized graphically or numerically (see "Graphical techniques in Statistics" for further information on the latter). The methods for numerical and graphical summarization that can be utilized depend on the type of data that was collected.
Statistics regularly employs tables, charts, and graphs to present data visually. The evaluation of raw data for patterns, data entry errors, and outlier values that can affect the statistical interpretation of the data is frequently started with examples like these.
It is important to show the data in tables, charts, and other statistical figures in a way that is both accurate and simple to understand. Additionally, tables are helpful for distilling the original data that forms the basis of a study's findings. To convey a lot of information in a small amount of area, they are effective.
The complete questions is:
Describe why charts/tables and other statistical values are used to summarize data and address the particulars of this assignment (be sure to include a thesis statement).
To learn more about statistical values refer to:
https://brainly.com/question/13246219
#SPJ4
what is the unit rate for the ratio 100 points/ 4 games?
The unit rate for the ratio 100 points/ 4 games is 25 points per game
How to determine the unit rate for the ratio?From the question, we have the following parameters that can be used in our computation:
Ratio = 100 points/ 4 games
The unit rate is simply the value of the above ratio
However, with a denominator of 1
This means that we evaluate the quotient in the above expression
So, we have the following representation
Ratio = 25 points/ 1 game
Express as unit rate
Unit rate = 25 points per game
Hence, the unit rate is 25 points per game
Read more about unit rate at
https://brainly.com/question/19493296
#SPJ1
I need help with this question please
Answer:
1512 inches
Step-by-step explanation:
42 x 36
1. In a party for 30 young children, 12 were served Coca-Cola drink, while 14 were served pepsi-cola. If 9 children were served Coca- Cola but not with pepsi-cola, find a. the number of children served both drink. b. the number of children served at least one type of drink. C.the number of children not served any of the drinks.
solve with showing equations
The number of children served both Coca-Cola and Pepsi-Cola is 3, the number of children served at least one type of drink is 9, and the number of children not served any of the drinks is 9.
To solve this problem, we can use the following equations:
a. The number of children served both drinks = 9 (served Coca-Cola but not Pepsi-Cola) + X (served both Coca-Cola and Pepsi-Cola)
b. The number of children served at least one type of drink = 12 (served Coca-Cola) + 14 (served Pepsi-Cola) - X (served both Coca-Cola and Pepsi-Cola)
c. The number of children not served any of the drinks = 30 (total number of children) - (number of children served at least one type of drink)
Substituting the values given in the problem into the equations above, we get:
a. The number of children served both drinks = 9 + X
b. The number of children served at least one type of drink = 12 + 14 - X
c. The number of children not served any of the drinks = 30 - (12 + 14 - X)
Solving for X in each equation, we get:
a. X = 3 (children served both Coca-Cola and Pepsi-Cola)
b. X = 9 (children served at least one type of drink)
c. X = 9 (children not served any of the drinks)
To learn more about counting elements of sub-sets:
https://brainly.com/question/29899057
#SPJ1
say we had |v|-1 edges picked from a connected, weighted, and undirected graph. are we guaranteed that these edges form a mst? why or why not?
No, we can't guaranteed that these edges form a MST.
Since the edge (u, v) has the lowest weight in the graph, we begin by supposing that there is no MST of the graph that contains it. The contradiction that results from this is as follows. The graph must have at least one MST if it is connected because we know it has at least one spanning tree.
Think about such an MST T. Keep in mind that, based on our first hypothesis, it does not contain the edge (u, v). Therefore, by adding (u, v) and eliminating one other edge, let's say (x, y), from the cycle that the new edge creates, we can transform it into another spanning tree, denoted T'. Because (u, v) is the edge with the lowest weight, (x, y) has a weight larger than or equal to (u, v), and as a result, T's total weight is less than or equal to T.
To learn more about edges here:
https://brainly.com/question/23111730
#SPJ4
13. Myleen is looking at a flagpole at a 58° angle. If she is sitting 20 feet from the base of the
flagpole, how tall is the flagpole? ( sin 58° = 0.8480; cos58° = 0.5299; tan 58° -1.600)
A. 10.5 ft
B. 17 ft
C. 26 ft
D. 32 ft
The height of the flagpole is 16.96 ft or 17 ft using the angle of elevation .
What is angle of elevation ?
The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.
Here ,
angle of elevation is 58 degree.
And distance of Myleen from base of flagpole = 20 ft.
So, the height of flagpole = 20*sin(58°)
= 20 * .8480
= 16.96
≈ 17 ft.
Learn more about angle of elevation using link:
https://brainly.com/question/25748640
#SPJ1
[tex]\frac{m(nx-y^{2} )}{p} =3n \\[/tex]
make p the subject of formula
P is the subject of the formula if we rewrite it as:
p = m*(nx - y²)/3n
How to make p the subject of the formula?
The subject of a formula is the variable that is isolated, so here we only need to isolate the variable p.
The formula is:
m*(nx - y²)/p = 3n
First, we can multiply both sides by p to get:
m*(nx - y²) = 3n*p
Now we can divide both sides by 3n, then we will get:
m*(nx - y²)/3n = p
Now p is the subject of that formula.
Learn more about formulas:
https://brainly.com/question/21140562
#SPJ1
The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
HELP
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
To know more about equation , visit:
https://brainly.com/question/22688504
#SPJ1
A line passes through the points (4, - 3) and (6, - 1) The equation of the line in slope -intercept form is y = mx + b . What is the value of b?
Answer:
-7
Step-by-step explanation:
First find the slope (m)
m = (-1-(-3) / (6-4) = 2/2 = 1
Now find b, the y-intercept, by plugging either point into the equation.
y = mx + b
-3 = 1(4) + b
b = -7
HELP!!!! Find the measure.
Answer:
Step-by-step explanation:
m∠1=68°
m∠2=62°
m∠3=50°
m∠4=112°
m∠5=50°
m∠6=112°
m∠7=68°
m∠8=68°
m∠9=112°
m∠10=85°
m∠11=95°
m∠12=50°
m∠13=27°
today b is 3 times older than a. in 5 years b will be 2 times older than a. how old are a and b today?
If we substitute a = 5 into the equation 3a = 15, we get b = 15.
Therefore, a = 5 and b = 15.
We are given that b is 3 times older than a, so b = 3a.
We are also told that in 5 years b will be 2 times older than a, so b = 2(a + 5).
We can set 3a = 2(a + 5) and solve for a.
3a = 2a + 10
2a = 10
a = 5
Therefore, a = 5 and b = 3a = 15.
We know that today, b is 3 times older than a. This means that b = 3a. We can use this equation to help us solve the problem.
We know that in 5 years' time, b will be 2 times older than a. This means that in 5 years, b = 2(a + 5). We can use this equation to help us solve for a and b.
We can set the two equations equal to each other, 3a = 2(a + 5). We can then solve for a, which gives us a = 5.
We can then substitute this value into either of the equations to find the value of b. If we substitute a = 5 into the equation 3a = 15, we get b = 15.
Therefore, a = 5 and b = 15.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
7/4 of a number is 66 what is the number
Answer:
7x/4 = 66
(7/4)x = 66
x = 66 × (4/7)
x = 264/7
in decimal x = 37.714(apprx.)
