The 4 types of algebra are Elementary Algebra, Linear Algebra, Abstract Algebra, Boolean Algebra.
1. Elementary Algebra - This type of algebra deals with basic operations such as addition, subtraction, multiplication, and division. An example of elementary algebra is solving for x in the equation 2x + 3 = 7. In this equation, the variable x has a value of 4.
2. Linear Algebra - This type of algebra deals with linear equations and linear transformation. An example of linear algebra is solving for the vector x in the equation Ax = b, where A is a matrix and b is a vector.
3. Abstract Algebra - This type of algebra deals with abstract concepts such as groups, rings, and fields. An example of abstract algebra is finding the inverse of a matrix A. The inverse of A can be found by solving the equation A x A-1 = I, where I is the identity matrix.
4. Boolean Algebra - This type of algebra deals with logical operations such as OR, AND, NOT, and XOR. An example of Boolean algebra is finding the logical complement of a statement P. The logical complement of P can be found by solving the equation P OR NOT P = TRUE.
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What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.
Answer:
New price = 90 dollars
Price is reduced 25% from 120 so,
120 - 30 = 90
Amount of discount = 30
A polynomal of degree of 2 that has zeros -4 and 2 is
9514 1404 393
Answer:
f(x) = x^2 +2x -8
Step-by-step explanation:
If p and q are zeros of a quadratic, its factored form is ...
f(x) = (x -p)(x -q)
For your zeros, the factored form is ...
f(x) = (x +4)(x -2)
Expanded using the distributive property, this is ...
f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8
f(x) = x^2 +2x -8
what is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12cm?
Answer:
Option 2[tex]540\pi[/tex]
Step-by-step explanation:
Given,
Diameter of the cylinder = 12cm
Radius of the cylinder = 12cm ÷ 2 = 6cm
Height of the cylinder = 15cm
Therefore,
Volume of the cylinder
[tex] = \pi {r}^{2} h[/tex]
[tex] = \pi \times 6 \times 6 \times 15 {cm}^{3} [/tex]
[tex] = 540\pi \: cubic \: cm[/tex]
Hence,
Option 2 is correct for volume of the cylinder in cubic cm:
[tex]540\pi[/tex]
Ashley's height is 164 cm. She stands 325 cm from a lamp post at night. Her shadow is 100 cm long.
How high is the lamp post?
Find the area of the composite figure. Round your final answer to the tenth.
Answer:
181.5 in^2 to the nearest tenth.
Step-by-step explanation:
This consists of a rectangle and a triangle.
Area of the rectangle = 10 * 17 = 170 in^2
Area of the triangle:
The base = 17-13 = 4 in.
The height ( that is the vertical line below the rectangle) can be found using Pythagoras:
H = √(7^2 - 4^2) = √33
Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2
Area of the whole figure = 170 + 11.489 = 181.489 in^2,
If Amy bought 2 CDs for $14.00 each, a DVD for $24.99, and a video
game for $37.50, how much change would she get back from a $100 bill?
Answer: Change of $9.51
Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.
Answer:
9.51
Step-by-step explanation:
multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.
HELLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!
Answer:
b.
Step-by-step explanation:
b. or the second answer
Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?
Answer:
y=200(1.13)^6= 416.39
Step-by-step explanation:
The points L, M, N and O all lie on the same line segment, in that
order, such that the ratio of LM : MN: NO is equal to 6:1:2. If
LO = 45, find MO.
2.
A garden is 20 feet long by 10 feet wide. The length and the width of the garden will
each be increased by the same number of feet. This expression represents the
perimeter of the larger garden. please first answer gets brainly thing
Answer:
200
Step-by-step explanation:
What is the factored form of 8y2 + 12y?
a 4 (4y2 + 8y)
b 8y(y + 4)
c 4y (2y + 3)
d 8y (y2 + 4)
Answer:
Hi! The answer to your questions is C. 4y (2y+3)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
What is the correct answer to this
Answer:
Perimeter = 9700 cm
Step-by-step explanation:
Dimensions of sides are;
12, 2x, 12, 5, 5, circumference of semi circle
Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14
We see that x is the diameter. Thus, x = 14
Thus; base of trapezium that is 2x = 2 × 14 = 28
Also, circumference of semi circle = 2πr = 2π × 7 = 44
Thus;
Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44
Perimeter = 97 m
Converting to cm, we multiply by 100 to get;
Perimeter = 97 × 100 cm
Perimeter = 9700 cm
Dani owns a small business. There was a profit of $16 on Thursday and a loss of $10 on friday. On saturday there was a loss of $14 and on sunday there was a profit of $25. Find the total loss or profit in the four days.
NO LINKS!
Answer:
There was profit of $17 think
Step-by-step explanation:
25+16=41
14+10=24
41-24=17
They took down the other question so we're gonna come here ok
What is the prime factorization of 110?
Answer:
The prime factors of 110 are 2, 5, and 11.
Step-by-step explanation:
First, 110 = 2 * 55
Next, 55 = 5 * 11
Thus, the prime factors of 110 are {2, 5, 11}
Answer:
2 x 5 x 11 = 110.
Step-by-step explanation:
The prime factors of 110 are 2, 5, and 11.
-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110
-Prime Factorization of 110: 110 = 2 × 5 × 11
1 × 110 = 110
2 × 55 = 110
5 × 22 = 110
10 × 11 = 110
11 × 10 = 110
22 × 5 = 110
55 × 2 = 110
110 × 1 = 110
A circle has a radius of 11 meters. What is the area of the circle?
Answer:
A≈380.13 m²
Step-by-step explanation:
looked it up
Answer:
A= 380.13 m²
Step-by-step explanation:
A=[tex]\pi r^{2}[/tex]
A= [tex]\pi[/tex]x[tex]11^{2}[/tex]
A= 380.13
I need help with this
Answer:
12x+24x+18 and 36x+24-6 can both be simplified into 36x+18, meaning the equation is an identity
Me pueden ayudar? ☹ PROPIEDADES DE LA SUSTRACCIÓN DE NÚMEROS NATURALES: LA RESTA NO CUMPLE CON NINGUNA DE LAS CUATRO PROPIEDADES ENUMERADAS (agrega los contraejemplos) NO ES CERRADA EN EL CONJUNTO DE LOS NATURALES: porque... NO ES CONMUTATIVA: porque... NO ES ASOCIATIVA: porque... NO TIENE ELEMENTO NEUTRO: porque...
Answer:
(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:
[tex]5 - 2 = 3[/tex]
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:
[tex](6-4) - 1 = 2 - 1 = 1[/tex]
[tex]6 -(4-1) = 6-3 = 3[/tex]
(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].
Step-by-step explanation:
(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:
[tex]5 - 2 = 3[/tex]
[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]
(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:
[tex](6-4) - 1 = 2 - 1 = 1[/tex]
[tex]6 -(4-1) = 6-3 = 3[/tex]
(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].
Use this picture to name one pair of SUPPLEMENTARY angles
One pair of supplementary angles in the picture : Angle 1 and Angle 5
Hope this helps!
The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola
Answer:
(1,2) is your vertex and (2,3) is your second point
Step-by-step explanation:
Answer:
(0,-1) and (-1,-2)
Step-by-step explanation:
i got it right on the quiz
A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth
Answer:
11.3
Step-by-step explanation:
Volume: L * W * H
L = 20
W = 8
H = 35 mm = 35/10 = 3.5 cm
V = 20 * 8 * 3.5
V = 560 cm^3
Density = m/v
Density = 6328 / 560
Density = 11.3
Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
2(x−3)=10x−6−8x
1 solution
No Solution
Infinite Solutions
Answer:
Infinite Solutions
Step-by-step explanation:
Simplify both sides and you will see they are equivalent meaning that it has infinite solutions
Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?
Answer:
Number of weeks= 3.63 weeks
Step-by-step explanation:
First, we need to determine the total amount to be saved:
Difference= 500 - 256
Difference= $254
Now, the number of weeks given the following formula:
Number of weeks= amount to be saved / savings per week
Number of weeks= 254 / 70
Number of weeks= 3.63 weeks
Find the missing side length.
Answer:
my guess would be 15 because it goes down by 5s
helppppp I really need help
Item 5
Write the word sentence as an inequality.
One plus a number y is no more than −13.
Answer:
1+xy-13 that is you answer
Assume that BC is tangent to circle A. Find the value of x. Round your answer to the nearest tenth
Answer:
x ≈ 9.6
Step-by-step explanation:
Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )
Using Pythagoras' identity in the right triangle
x² + 14² = 17²
x² + 196 = 289 ( subtract 196 from both sides )
x² = 93 ( take the square root of both sides )
x = [tex]\sqrt{93}[/tex] ≈ 9.6 ( to the nearest tenth )
What is the length of side a? Round to the nearest tenth of an inch
Answer:
ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36
Find the Area of this Composite Figure:
8 in
7 in
12 in
Answer:
132in²
Step-by-step explanation:
What is the area of the base?
Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula
[tex]A=\frac{bh}{2}[/tex]
where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So
[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]
So the area of the base is 24 in²