All categories

3 years ago

The cube less the square of a number is twice the number. If x is a positive integer, what is its value

Mathematics

1 answer:

olga55 [171]3 years ago

3 0

Answer:

Step-by-step explanation:

let 'x' = number

x³ - x² = 2x

x³- x² - 2x = 0

x(x² - x - 2) = 0

x(x - 2)(x + 1) = 0

x = -1, 0, 2

the only positive solution is the number 2

You might be interested in

Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning.

STALIN [3.7K]

A. it forms a triangle

5 0

3 years ago

You work for a carpet company. You sell carpets at these prices: 100 square feet for $67, 200 square feet for $130, 400 square f

GrogVix [38]

Answer:

Step-by-step explanation:

first one : 67/100 = .67 per sq feet

Second one: 130/200 = .65 per sq feet

Third one 240/400 = .6 per sq feet

Fourth one: 504/800 .63 per sq feet

so C is the best deal (C.

400 square feet of carpet for $240)

4 0

3 years ago

Dawn is packing cookies she puts 5 cookies in each package if she has 7,414 cookies how many packages can she make

viva [34]

Answer:

Dawn can make 1482 packages

Step-by-step explanation:

for each package Dawn need 5 cookies so for 7414 cookies she can make

7414 ÷ 5 = 1482.8

so she can make 1482 packages.

6 0

3 years ago

In a random sample of 64 people, 48 are classified as 'successful.' Determine the sample proportion of 'successful' people.

hichkok12 [17]

Answer:

The sample proportion of 'successful' people is $\frac{3}{4}$ .

Step-by-step explanation:

The sample consist of 64 people and 48 of them are 'successful'. Hence, the proportion of 'successful' people is:

$p = \frac{n}{N}$

Where:

$N$ - People that forms the sample, dimensionless.

$n$ - People classified as 'successful', dimensionless.

Given that $n = 48$ and $N = 64$ , the sample proportion of 'successful' people is:

$p = \frac{48}{64}$

$p = \frac{3}{4}$

The sample proportion of 'successful' people is $\frac{3}{4}$ .

6 0

3 years ago

A store charges $12.50 for 5 boxes of cookies. A second store charges $8.00 for 4 boxes of cookies, but you have to buy a gallon

Pachacha [2.7K]

Answer:

Step-by-step explanation:

12.50-8.00=3.00

7 0

3 years ago