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Anit [1.1K]
3 years ago
14

Find the following products:

Mathematics
1 answer:
baherus [9]3 years ago
7 0

Answer:

i. x^2 – 1

ii. x^3 – 1

iii. x^4 - 1

Step-by-step explanation:

Products are obtained by multipliyng each left term by each rigth term as follows:

i. (x- 1)(x+ 1) = (x^2  – x + x - 1) = x^2 – 1 (equal terms with opposite sign substracts and the result is 0)

ii. (x- 1)(x^2 + x + 1) = (x^3 – x^2 + x^2 – x + x – 1) = x^3 – 1

iii. (x- 1)(x³ + x² + x + 1) = (x^4 – x^3 + x^3 – x^2 + x^2 – x + x – 1) = x^4 - 1

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PLEASE HELP !! ILL GIVE BRAINLIEST !!
8090 [49]

Answer:

2 and 6, 4 and 8, 1 and 5, 3 and 7

Step-by-step explanation:

The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.

In this example, lines m and l are two parallel lines

line n cuts through both, making every other angle corresponding and congruent, etc...

6 0
3 years ago
Read 2 more answers
When a linear function has a slope of 5, what is the "run" part of the slope?
alukav5142 [94]
Slope equals rise over the run
so if slope = 5 then the rise also equals 5 and the run is 1


7 0
3 years ago
Suppose you pay back $575 on a $525 loan you had for 75 days. What was your simple annual interest rate? State your result to th
KengaRu [80]

The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.

<h3>What is the interest rate behind a pay back?</h3>

In this situation we assume that the loan does not accumulate interests continuously in time. Hence, the <em>interest</em> rate for paying the loan back 75 days later is:

575 = 525 · (1 + r/100)

50 = 525 · r /100

5000 = 525 · r

r = 9.524

The loan has an <em>interest</em> rate of 9.524 % for 75 days. <em>Simple annual interest</em> rate is determine by rule of three:

r' = 9.524 × 365/75

r' = 46.350

The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.

To learn more on interests: brainly.com/question/26457073

#SPJ1

7 0
2 years ago
Para reunir dinero para su gira de estudios , los alumnos de un curso deciden vender números de una rifa que se encuentran numer
QveST [7]

Respuesta:

0.53

Explicación:

Para calcular la posibilidad del evento A: "ganar la rifa comprando todos los números múltiplos de 3 o 5", debemos usar la siguiente fórmula.

P(A) = casos favorables / casos posibles

Evaluemos primero todos los casos que son múltiplos de 3, entre 1 y 100: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99. En total son 33.

Ahora, evaluemos todos los casos que son múltiplos de 3, entre 1 y 100: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. En total son 20.

El número total de casos favorables es 33 + 20 = 53.

El número de casos posibles es el total de números de 1 a 100, es decir 100.

Luego P(A) = 53/100 = 0.53.

7 0
3 years ago
Find the volume of the triangular prism
Bezzdna [24]
If you use the formula V=bh you can find the volume of a tranangular prism.
To find the area of the triangle you have to use the formula A=1/2bh

A=1/2(14)(20)=140ft2= Base of the triangle
V=bh V=140x30
V=4200ft2
4 0
3 years ago
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