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rjkz [21]
3 years ago
8

3. A positive number is 56 less than its square. Find the number.

Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:8

Step-by-step explanation:

X+56=x^2

X^2-x-56=0

X^2-8x+7x-56=0

X(x-8)+7(x-8)=0

(X+7)(x-8)=0

X+7=0 or x-8=0

X=-7 or x=8

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2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.
ludmilkaskok [199]

Answer: a6=70

Step-by-step explanation:

we know that

In the Arithmetic Sequence the formula is:

an= a1 + d(n−1)

where

a1 is the first term

d is the common difference

n is the number of terms

in this problem

a1=5

a2=18

a3=31

a4=44

a5=57

so

d=a2-a1 or a3-a2 or a4-a3 or a5-a4

d=57-44----> 13

find a6

a6= a1 + d(n−1)

n=6

d=13

a1=5

a6=5+13*(6-1)----> a6=5+13*5----> a6=70

8 0
2 years ago
Read 2 more answers
Emily is a very good student. She is more likely to attend class than to miss class. Which could be t.he probability that she mi
evablogger [386]
The correct answer is 0.1. C and D can automatically be eliminated because Emily is a good student who is likely to attend school. This leaves A and C, but A can be eliminated because there is still a possibility Emily will miss class.
5 0
3 years ago
¿cuanto pesa cada uno de nuestros 3 personajes?
sergij07 [2.7K]

Resolviendo el sistema de ecuaciones veremos que:

  • niña = 23kg
  • niño = 28kg
  • perro = 18kg.

<h3>¿Como resolver el sistema de ecuaciones?</h3>

Aqui tenemos el sistema de ecuaciones:

Niña + niño = 51kg

Niño + perro = 46 kg

Niña + perro = 41kg

Para resolver esto, lo primero que debemos hacer es aislar una variable en una de las ecuaciones, por ejemplo, podriamos aislar "perro" en la tercera:

perro = 41kg - niña

Ahora reemplazamos eso en la segunda para obtener:

niño + (41kg - niña) = 46kg

niño - niña = 46kg - 41kg = 5kg

niño = niña + 5kg

Ahora logramos obtener la variable "niño" en terminos de la variable "niña". Podemos reemplazar esto en la primera ecuacion del sistema.

niña + niño = 51kg

niña + (niña + 5kg) = 51kg

2*niña = 51kg - 5kg = 46kg

niña = 46kg/2 = 23kg.

Ahora que sabemos esto, usamos las otras ecuaciones para encontrar el peso del niño y el perro:

niño = niña + 5kg = 23kg + 5kg = 28kg

perro = 41kg - niña = 41kg - 23kg = 18kg.

Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:

brainly.com/question/17174746

6 0
2 years ago
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iVinArrow [24]
You know the product will be greater than the two factors because multiplication always makes the numbers greater. So 2x12 is 24 and that is greater than the two factors
6 0
3 years ago
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The probability of spinning a 4 and a C is 1/4 x 1/3 = 1/12
Paraphin [41]

Answer:

\frac{1}{12}  \times 240 = 20 \: times

hi here is the answer, please give brainly I've been helping you

3 0
3 years ago
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