Answer:
A, C, E
Step-by-step explanation:
Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.
A (- 2, 5 )
y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution
B (- 1, 0 )
y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution
C (1, 2 )
y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution
D (2, 4 )
y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution
E (3, 10 )
y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution
the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced
If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%
How to find percentage reduction?
The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:
15 - 9 = 6 dollars
Therefore,
percentage reduction = 6 / 15 ×100
percentage reduction= 600 / 15
percentage reduction = 40%
Therefore, the percentage reduction in price is 40%.
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If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged
Amount of tax paid = 43-40 = 3
Tax rate = 3/40 = 0.75
0.75 x 100 = 7.5%
Tax rate = 7.5%
Clarissa climbs into the back of the truck to tie the lawn mower in place. If she does 528 joules of working raising herself to the truck bed, how much force did she apply?
Quis
bentuk akar dari
[tex] \sqrt{18} + \sqrt{32} - 3 \sqrt{8} = [/tex]
Answer:
[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} [/tex]
Semoga membantu
Answer:
[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} [/tex]
Edgar uses his cell phone all the time, even though it's more expensive between
8 a.m. and 6 p.m. The daytime rate costs 10¢ per minute between 8 a.m. and 6
p.m., while it is 3¢ per minute all other times. If Edgar spent 60 minutes on the
phone at night and 60 minutes during the day, how much would he owe?
Answer:21600
Step-by-step explanation:
Multiply 60 by 2, then by 3. Add 120 and 180 to get 21600.
NEED HELP ASAP!! ILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!
Explanation:
*Based on what i know / understand*
Well one thing is that it is not E (the last choice because the mean is not the same as the median, they are different, the mean is 10.4 while the median is 13.4
And it can not be C or D because the mean is less than the median. So it is rather A or B.
But I think it is B.
Sorry if its wrong ;-;
what angles of rotational symmetry are there for a regular pentagon
Answer:
a regular pentagon has 72 degrees
Step-by-step explanation:
Here is a linear equation in two variables: 2x+4y−31=123
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]
Write the equation of the line shown in the graph to the right
Hint: Think about slope and y-intercept.
Answer:
y=2x-6
Step-by-step explanation:
The intercept is -6 so -6 and you take two points on the line e. g. (3,0) and (2,-2) You would do -2-0 to get -2 and 2-3 to get -1. -2 divided by -1 equals 2. The slope is two.
A number is first increased by 20 and then doubled. The result is 2 less than 5 times the number
set up an equation:
2(x+20) = 5x - 2
Simplify:
2x +40 = 5x - 2
Add 2 to both sides:
2x + 42 = 5x
Subtract 2x from both sides:
42 = 3x
Divide both sides by 3:
x = 42/3 = 14
The number is 14
Answer:
The answer is 14
Step-by-step explanation:
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y=−4
x=9
Choose the correct answer below.
A.
Neither
B.
Parallel
C.
Perpendicular
F(x)= x^3+4x^2-5x-20;x+4
The sum of the digits of a two digit number is 15.If the number formed bt reversing the digits is than the number by 27,find the original number
Answer:
96 is the number. x = 9
Step-by-step explanation:
x = 9, so y = 15–9 = 6, and so the answer is 96
brainliest?
Given ∆TOM with vertices T(-1, 8), O(-3, 3), and M(-6, 7). (a) Graph ∆TOM on the axes provided below. (Draw it in your notes) (b) On the same set of axes, graph ∆T'O'M', the image of ∆TOM reflected over the line y = -x. (c) On the same set of axes, graph ∆T"O"M", the image of ∆T'O'M' reflected over the x-axis.
Answer:
i dont know if i did this right buut
Step-by-step explanation:
You buy a new notebook for school the notebook cost to buy or one dollar Martha comes to $3.46And the taxIs 6%How much of the percentWhat is the markupAnd whatIs your finalPrice for The notebook with tax
Answer:
AHHHH I LOVE YOUR PROFILE PICTURE GOKU IS THE BEST <3 :D
i need help on this
please give me solving steps
trying to solve for X
Answer:
10
Step-by-step explanation:
Given is an isosceles triangle and so:
3x + 20 = 5x export like terms to the same side of the equation
20 = 5x - 3x
20 = 2x divide both sides by 2
10 = x
Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
Two of the faces have an area of 30 ft2.
There is only one face with an area of 48 ft2.
Two of the faces have an area of 40 ft2.
The front face has an area of 30 ft2.
The top face has an area of 40 ft2.
Answer: The front face has an area of 30 ft2. , The top face has an area of 40 ft2. ,
Step-by-step explanation: SOrry if im wrong
Answer: A, C, D
Step-by-step explanation:
how do I solve 8 - 4x + 5y when x = -2 and y = 6
pLS help me with thisss:((((((
Answer:
C and B
Step-by-step explanation:
(6)
[tex]\frac{3x-7y}{8}[/tex] × [tex]\frac{6}{3x-7y}[/tex] ← cancel 3x - 7y on numerator and denominator
= [tex]\frac{1}{8}[/tex] × [tex]\frac{6}{1}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] → C
(7)
[tex]\frac{6x}{x^2-9}[/tex] ÷ [tex]\frac{8}{4x-12}[/tex]
Factorise the denominators of both fractions
x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares
4x - 12 ← factor out 4 from each term
= 4(x - 3)
Then rewrite as
[tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{8}{4(x-3)}[/tex] ← cancel 8 and 4 by 4
= [tex]\frac{6x}{(x-3)(x+3)}[/tex] ÷ [tex]\frac{2}{x-3}[/tex]
• leave first fraction, change ÷ to × , turn second fraction ' upside down'
= [tex]\frac{6x}{(x-3)(x+3)}[/tex] × [tex]\frac{x-3}{2}[/tex] ← cancel x - 3 on numerator and denominator
= [tex]\frac{6x}{x+3}[/tex] × [tex]\frac{1}{2}[/tex] ← cancel 2 and 6 on numerator and denominator
= [tex]\frac{3x}{x+3}[/tex] → B
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Question 8 measurements. Angle H (acute) Angle M (obtuse) Angle K (acute)
Question 9 measurements. Angle P (right) Angle Q (obtuse) Angle R (acute) Angle S (obtuse) Angle T (right)
Any angle that is visibly smaller than 90° in shape is an acute angle.
Any angle that has a square denoted inside the angle means that it is a 90° angle, therefore implying that it is a right angle.
Any angle that is visibly bigger than 90° in shape is an obtuse angle.
Note that in the Q.8, the total summation of the interior angles for a triangle is 180°. In this case, ∠H & ∠K can be safely assumed to be smaller than right angles, which means that ∠M would be either a right angle or obtuse. However, it is not given that ∠M is a right angle, and so the answer is obtuse.
a. Angle H: acute angle
b. Angle M: obtuse angle
c. Angle K: acute angle
It is given that angles P & T are right angles (as denoted by the squares). Therefore, angle Q & S are obtuse, and angle R is acute, based on visible differences:
a. angle P: Right angle.
b. angle Q: Obtuse angle.
c. angle R: Acute angle.
d. angle S: Obtuse angle.
e. angle T: Right angle.
Usually you will not be using visibility to solve the angle measurements, but in this case, it is not stated that shapes are not drawn to scale. Therefore, you can safely assume based on what the angles look like to answer.
An item on sale costs 65% of the original price. The original price was $25.
Answer:
$16.25
65% = 0.65
0.65 x $25 = $16.25
Hope this helps! (And I think thats what the question was)
What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS
Answer:
43.57
Step-by-step explanation:
Line up the decimal points.
Add a 0 for 1.07 so the numbers have the same length.
01 . 0 7
42. 5 0
-------------
43.57
Answer:
1.07+42.5
=1.07+42.5
=43.57
Step-by-step explanation:
Add the numbers
Make 42.5 equal to 42.50 for better understanding when calculating
what is 12/24 - 10/23
If a cot α = 1 and b cos α = 1, find a2 – b 2
The equivalent expression of the different of two square is -1
Given the following expressions
a cot α = 1
a = 1/cot α = sinα/cosα
b = 1/cos α
We are to find the expression a² - b²
According to difference of two squares;
a² - b² = (a + b) (a - b)
Substitute the given expressions into the formula as shown:
[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]
This shows that the equivalent expression of the difference of two squares is -1
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If women always married men who were 2 years older
than themselves, what would the correlation between the ages
of husband and wife be?
(a) 2
(b) 1
(c) 0.5
(d) 0
(e) Can't tell without seeing the data
Answer:
If you were to create a scatterplot using sample ages such as : (30,32),(33,35),(47,49), etc. You will begin to see a perfect linear relationship, which would mean the correct correlation is 1.
(hope it helps! <3)
What is the value of y?
It looks like an equilateral triangle (equal sided) so y=1
Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
Answer: 1.
Step-by-step explanation:
The triangle in the picture is an equilateral triangle, meaning that all the sides are equal. Since we know that one of the sides is equal to one according to the picture, we know that the answer is 1.
plzzzzzzzzz help and the answer choice i have on there is not the answer just where i accidently hit lol
Answer:
B is the answer
Step-by-step explanation:
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
Please help me!!!!!!!!!!!! Thanks!
Hello Brainly members !!!
Give me solution of above question
Question refer to Attachment
(Spam answers will be reported .)
Please find attached photograph for your answer.
Hope it helps
ray4918 here to help.
i hope its help you✌✌✌✌✌
A football field is 360 feet long 160 feet wide. What is the area of the football field?
Answer:The area of the field is 57600 square feet.
Step-by-step explanation:
Answer:
57600 square feet.
Step-by-step explanation:
360 x 160 = 57600.