Answer:
30
Step-by-step explanation:
dollers bc if kate has k dollers a pack of gum is for 30
is the equation 2x+y=4 and 2x^2+y=6 linear.. if so, how do i graph them?
Answer:
No, but you can graph them by converting to mx+b form
Step-by-step explanation:
The procedure for solving simultaneous linear equations now called Gaussian elimination appears in the ancient Chinese mathematical text Chapter Eight: Rectangular Arrays of The Nine Chapters on the Mathematical Art. Its use is illustrated in eighteen problems, with two to five equations.[4]
Systems of linear equations arose in Europe with the introduction in 1637 by René Descartes of coordinates in geometry. In fact, in this new geometry, now called Cartesian geometry, lines and planes are represented by linear equations, and computing their intersections amounts to solving systems of linear equations.
The first systematic methods for solving linear systems used determinants, first considered by Leibniz in 1693. In 1750, Gabriel Cramer used them for giving explicit solutions of linear systems, now called Cramer's rule. Later, Gauss further described the method of elimination, which was initially listed as an advancement in geodesy.[5]
In 1844 Hermann Grassmann published his "Theory of Extension" which included foundational new topics of what is today called linear algebra. In 1848, James Joseph Sylvester introduced the term matrix, which is Latin for womb.
Linear algebra grew with ideas noted in the complex plane. For instance, two numbers w and z in {\displaystyle \mathbb {C} }\mathbb {C} have a difference w – z, and the line segments {\displaystyle {\overline {wz}}}{\displaystyle {\overline {wz}}} and {\displaystyle {\overline {0(w-z)}}}{\displaystyle {\overline {0(w-z)}}} are of the same length and direction. The segments are equipollent. The four-dimensional system {\displaystyle \mathbb {H} }\mathbb {H} of quaternions was started in 1843. The term vector was introduced as v = x i + y j + z k representing a point in space. The quaternion difference p – q also produces a segment equipollent to {\displaystyle {\overline {pq}}.}{\displaystyle {\overline {pq}}.} Other hypercomplex number systems also used the idea of a linear space with a basis.
Arthur Cayley introduced matrix multiplication and the inverse matrix in 1856, making possible the general linear group. The mechanism of group representation became available for describing complex and hypercomplex numbers. Crucially, Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object. He also realized the connection between matrices and determinants, and wrote "There would be many things to say about this theory of matrices which should, it seems to me, precede the theory of determinants".[5]
Benjamin Peirce published his Linear Associative Algebra (1872), and his son Charles Sanders Peirce extended the work later.[6]
The telegraph required an explanatory system, and the 1873 publication of A Treatise on Electricity and Magnetism instituted a field theory of forces and required differential geometry for expression. Linear algebra is flat differential geometry and serves in tangent spaces to manifolds. Electromagnetic symmetries of spacetime are expressed by the Lorentz transformations, and much of the history of linear algebra is the history of Lorentz transformations.
The first modern and more precise definition of a vector space was introduced by Peano in 1888;[5] by 1900, a theory of linear transformations of finite-dimensional vector spaces had emerged. Linear algebra took its modern form in the first half of the twentieth century, when many ideas and methods of previous centuries were generalized as abstract algebra. The development of computers led to increased research in efficient algorithms for Gaussian elimination and matrix decompositions, and linear algebra became an essential tool for modelling and simulations.[5]
Vector spaces
Main article: Vector space
Until the 19th century, linear algebra was introduced through systems of linear equations and matrices. In modern mathematics, the presentation through vector spaces is generally preferred, since it is more synthetic, more general (not limited to the finite-dimensional case), and conceptually simpler, although more abstract.
A vector space over a field F (often the field of the real numbers) is a set V equipped with two binary operations satisfying the following axioms. Elements of V are called vectors, and elements of F are called scalars. The first operation, vector addition, takes any two vectors v and w and outputs a third vector v + w. The second operation, scalar multiplication, takes any scalar a and any vector v and outputs a new vector av. The axioms that addition and scalar multiplication must satisfy are the following. (In the list below, u, v and w are arbitrary elements of V, and a and b are arbitrary scalars in the field F.)[7]
4. The first two numbers in a sequence are 3, 9.
a. If this is an arithmetic sequence, what are the next 2 terms?
b. Write the a definition for the nth term of the sequence:
Answer:
234567
Step-by-step explanation:
Answer:
AP equation:
[tex]t_n=t_1+(n-1)d[/tex]Based on the first two terms, we have:
[tex]t_1=3,\\t_2=9\\d=9-3=6[/tex]The equation is:
[tex]t_n=3+(n-1)*6=3+6n-6=6n-3[/tex]Next two terms are:
[tex]t_3=6*3-3=15\\t_4=6*4-3=21[/tex]3.7 to fractionkdxnxnwlwosxxjxjobe2ih3eduhggsxioqswgss
Answer:
37/10
ljjlljlln;knbhkl;;;;;;;;;;;;nj,
There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many children are in the audience.
Answer:
In the audience, there are 90 adults and 54 children
Step-by-step explanation:
If we have 5 adults for every 3 children, we would continue this pattern by saying we have 10 adults for every 6 children, 15 adults for every 9 children, and so on.
We can express this situation into an equation by saying 5x + 3x = 144
8x = 144
x = 18
So now we know there are 5(18) = 90 adults for every 3(18) = 54 children
In the audience, there are 90 adults and 54 children
Answer:
In the audience, there are 90 adults and 54 children
Step-by-step explanation:
I hope this helps ♡
What is the equivalent ratio to 7 : 20
Answer:
14:40
Step-by-step explanation:
On a ship, the ratio of crew members to passengers is 1:15.There are 540 passengers. How many crew members are there? ( Explain it easier)
Answer:
36 Crew Members
Step-by-step explanation:
So for every 1 crew member, there are 15 passengers.
So divide 540 by 15: 540/15=36
So by dividing that you get the number of crew members: 36
What is the missing value
Answer:
I am not entirely sure but I think it is 1.
Step-by-step explanation:
Don't quote me on this though. Please tell me if I am wrong.
true or false, two figures are mathematically similar if the angles change by the same scale factor.
Answer:
true
Step-by-step explanation:
when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.
what is 2x+8+6x+5 can you help please
Answer:
8x+13
Step-by-step explanation:
combine like terms
6x+2x=8x
8+5=13
final answer 8x+13
Can someone pls help
Answer:
hol up let me doit
v
Step-by-step explanation:
What is the distance, d, between the points (2, 3) and (,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
d=0
=
Answer:
[tex] \sqrt{97} \div 6[/tex]
5. Find the measure of the missing angle.
40°
50°
Step-by-step explanation:
40° + 90° + ? = 180°
130° + ? = 180°
? = 180° - 130°
? = 50°
Answer: 50 degrees
Step-by-step explanation: The interior angles add up to 180.
1. 40 + 90 + ? = 180
130 + ? = 180
-130 - 130
? = 50
let f (X)=3x - 2 ; g(x)= 5x+1 compute the indicated values
a. (fof) (0)
b. (gog) (-7)
c. (fogof) (2)
Answer:
PHYLUM PLATYHELMINTHES is a great place to work for
Simplify 11 square root 1215
Answer:383.4
Step-by-step explanation:
Answer:
383.425351275
Step-by-step explanation:
Cornelius Shultz’s annual salary is $29,800. He is paid monthly. His personal exemptions total $4,000. How much does his employer deduct from each of Shultz’s paychecks for state income tax of 4 percent?
Answer:
86
Step-by-step explanation:
simplify the expression 6(a-4+2b)
Answer:
6a + 12b - 24
Step-by-step explanation:
f (x) = -8x - 8 and g(x) = x + 1 (f/g)(x)
-8
Step-by-step explanation:
(f/g)(x)
= f(x)/g(x)
= (-8x - 8)/(x + 1)
= -8(x + 1)/(x + 1)
= -8
Given that a box has 4 blue marbles, 3 red marbles, and 5 yellow marbles, use the probability formulas to answer the following questions. What is the probability of drawing a blue marble? Drawing a marble that is not red? Drawing a red and yellow marble at once? Drawing a red or blue marble? Drawing a red marble, put it back, and then drawing a yellow marble? Drawing a yellow marble, keeping it, and then drawing another yellow marble? Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced?
Answer:
CHUPAPI MUNYNYOStep-by-step explanation:
MESHEPO MESHEEPOOSantiago and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5.75 and a drink for $3.50. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?
Answer:
$23 for popcorns and $28 for drinks the sum is $51
Step-by-step explanation:
The total cost of buying 4 bags of popcorn and 8 drinks is $51.
What is the meaning of the term “cost”?A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting.
In the case of an acquisition cost, the money spent on the acquisition is considered the cost. All costs associated with obtaining and preparing materials for sale are referred to as "Cost of Purchase," or “Cost of buying,” respectively.
As per the available information,
Selling price of a single popcorn bag is $5.75.
Selling price of a single drink is $3.50.
Value or total amount of cost will be calculated against 4 bags of popcorn and 8 drinks.
Cost of popcorns = 4 × 5.75 = 23
Cost of drinks = 8 × 3.50 = 28
23 + 28 = 51
Therefore, total cost of buying 4 bags of popcorn and 8 drinks is $23 for popcorns and $28 for drinks, the sum is $51
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(a) Using Geometry Vocabulary, describe a sequence of transformations that maps
figure X onto figure Y.
(b) Write the Transformation Mapping Rule(s) for the sequence you described in part
(a).
Answer:
Translate figure X [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex], reflect figure X in the y-axis to give figure Y.
Step-by-step explanation:
It is very clear that shape X is being reflected in the y-axis to give shape Y. However, when reflecting shape X, it doesn't perfectly align with Y (it is off by 1 square).
So, we need to move shape X by 1 square so that when reflected in y-axis, it will align perfectly with shape Y. We can do this using a translation. We can see that if we move shape X one square to the right and no squares up or down, it will be reflected to give shape Y in the y-axis.
This leaves us with the column vector [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex]. And our final step is to write about the reflection that we identified earlier.
So the final answer is : Translate figure X [tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right][/tex], reflect figure X in the y-axis to give figure Y.
Jody can swim one length of the pool in of a minute. How long will it take Jody to swim six lengths of the pool?
Answer:
Step-by-step explanation:
6 minutes...
Find the area of the shaded part in this exercise. (URGENT. FOR TODAY)
Answer: 80
Step-by-step explanation: Well the 60 is too slanted and 90 would be straight 70 would be less straight then it is 80
4x-y=20 find the X and Y intercepts from the equation
Answer:
its c
Step-by-step explanation:
i took it
Given f(x)=-x+2f(x)=−x+2, find f(-1)f(−1)
Answer:
f(-1) = 3
Step-by-step explanation:
Plug -1 into the equation
-(-1)+2
Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?
Can someone please help me NO LINKS!!!
Answer:
14 is the correct answer
Answer:
14
Step-by-step explanation:
the answer is 14 when the equation is evaluated
In spherical geometry, which of the following statements is true?
A. There is no line that passes through the endpoints of a diameter of a
sphere.
B. There is only one line that passes through the endpoints of the diameter of
a sphere.
C. There are infinitely many points that pass through the endpoints of the
diameter of a sphere.
D. There are infinitely many lines that pass through two points on a sphere that
are not the endpoints of a diameter.
Answer:
A
Step-by-step explanation:
There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.
Given that,
In spherical geometry, which of the following statements is true is to be determined.
A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.
A.
False, because there are two endpoints of the diameter so a line minimum required two to get constituents.
B.
True, because online one line can constitute the two points, not more than one line can.
Similarly,
C and D are false.
There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.
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Rearrange the equation y+5=3/4(x-12) into slope-intercept form.
PLEASE show work for brainliest
The equation y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12) can be rearranged into slope intercept form as y = [tex]\frac{3}{4}[/tex] x + (-14).
What is the slope intercept form of a line ?
The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
An equation is given which is :
y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12)
If we multiply by 4 on both sides , we get :
4y + 20 = 3x - 36
or
4y = 3x - 56 -- -- -- -- --- ---- ----- ----- --- --- --- Equation 1
We know that the slope intercept form of a line is given by :
y = mx + c
So , to change the above equation into slope intercept form we must divide equation 1 by 4. So , the rearranged equation will be :
4y / 4 = (3/4 x ) - (56 / 4)
y = [tex]\frac{3}{4}[/tex] x + (-14)
Therefore , the equation y + 5 = [tex]\frac{3}{4}[/tex] ( x - 12) can be rearranged into slope intercept form as y = [tex]\frac{3}{4}[/tex] x + (-14).
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Mrs. Jones decided to buy some pencils for her class. She bought 4 packages of pencils, and each package contained 57 pencils. There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there were no pencils left over, how many pencils did each student get?
Answer:
The correct answer is 19 pencils.
Step-by-step explanation:
First, we have to multiply
57 x 4 = 228
Second, we have to divide
228 ÷ 19 = 12
Lastly, we write the answer in a complete sentence.
Each student got 19 pencils if there were no pencils left over.
Hope This Helps!
Answer:
Each student got 12 pencils
Step-by-step explanation:
57 times 4 = 228
228 divided by 19 =12
hope this helps :)
Which of the answer choices is a possible value for x? Select all that apply.
8x > 24
A: 2
B: 3
C: 4
D: 5
E: 6
Answer: B: 3
Step-by-step explanation:
