Which graph represents the piecewise-defined function f(x) = { -x + 4, 0 ≤ X< 3
6,
X ≥ 3

Answer:

Step-by-step explanation:

This is:

Correct choice is D

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

Answer:

find the difference between the two times by subtracting them;

59.48-56.24= 3.24 seconds

Step-by-step explanation:

The rate of change of this function in miles per week is 3 miles per week.

We have a table as shown in the question.

The rate of change in miles per week is -

(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)

6/2 = 3/1

3 = 3

3

Therefore, the rate of change of this function in miles per week is 3 miles per week.

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Answer:

75 words

Step-by-step explanation:

15*5=75

each dollar is five words, so times five by fifteen to get the number of words she can use.

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

Answer:

It will take the girl 15 seconds to run 100 meters

Step-by-step explanation:

100÷6 2/3 is 15

reverse it to see if your right: 15×6 2/3 is 100

have a good day, sorry if I'm wrong:)

(if I am wrong plz tell me<3)

Answer:

What do you need help with? Please go easy on me. I'm just a kid.

Step-by-step explanation:

Answer:

is this the full question?

Answer:

Step-by-step explanation:

70% or more 70% is most likely a b-

Answer: [tex]\sqrt{73}[/tex] for number 7

Step-by-step explanation:

a²+b²=c²

3²+8²=c²

9+64=c²

[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]

Answer:

just multiply 7.99 * 7. your tryna find how much 7 rubrics cubes cost so your answer should be 55.93 or 56

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The graph is a line that goes through the points (1,-4) and (0,0)

Answer:

The steepness of the line

Step-by-step explanation:

3/3

Answer: p = [tex]\frac{-n}{500} +68[/tex]

Step-by-step explanation:

Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:

p = mn + b, where

m = slope and b is the intercept

From the question, when n = 1000, p = $66

And, when n = 10,000 , p = $48

The formula for finding slope is given as:

m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

[tex]y_{1} = 66[/tex]

[tex]y_{2} = 48[/tex]

[tex]x_{1} = 1000[/tex]

[tex]x_{2} = 10000[/tex]

substituting the values,

m = [tex]\frac{48-66}{10000-1000}[/tex]

m = [tex]\frac{-18}{9000}[/tex]

m = [tex]\frac{-2}{1000}[/tex]

m = [tex]\frac{-1}{500}[/tex]

The linear equation thus becomes

p = [tex]\frac{-n}{500}+b[/tex]

To find the value of b, substitute  p = 66 and n =1000 into the equation

That is,

66 = [tex]\frac{-1000}{500}+b[/tex]

66 = -2 + b

68 = b

Therefore b = 68

The linear equation is therefore

p = [tex]\frac{-n}{500} +68[/tex]

Answer:

17 books

Step-by-step explanation:

a) .25

b) .6

c) .875

d) 3.3125

e) .06

f) 19.425

Answer:

i don't know do you know

Step-by-step explanation:

            4^t × 2^t = 2^what         [convert all terms to the same base (2)]

∴   2^t × 2^t × 2^t = 2^what       [use the multiplicat law of exponents]

              2^(t+t+t) = 2^what       [simplify]

                   2^3t =  2^what

Answer:

1 rabbit is 4 dollars

Step-by-step explanation:

for every rabbit you have, multiply it by 4 to find the number of dollars

Answer:

0.125

Step-by-step explanation:

Hope it helps

Answer:

(5/4) / 10

= (5×10)/4

= 50 / 4

= 25/ 2

= 12.5

Step-by-step explanation:

brainliest plz

Answer:

y=−11x+77/2

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]

Answer:

the answer is a :)

Step-by-step explanation:

Answer:

choice 1

Step-by-step explanation:

plug the points into each answer choices (guess and check)

And???? What are we computing, you just gave me a fact.

Answer:

Step-by-step explanation:

71.28

Answer:

Step-by-step explanation:

Can I follow you?

Answer:

Step-by-step explanation: