All categories

3 years ago

Find all the numbers such that the number added to itself is less than the number subtracted from 6

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

Answer:

All numbers less than 2 or $(-\infty, 1]$ or $(-\infty, 2)$

Step-by-step explanation:

Given that:

Number is added to itself is less than the number subtracted from 6.

To find:

All such numbers.

Solution:

Let the number be $x$ .

Here, an inequality will be made.

When solved, it might give more than one answers.

As per the question statement, let us write the inequality.

Number added to itself $\Rightarrow x +x =2x$

Number subtracted from six = $6-x$

As per question:

$2x$

So, the answer is:

All numbers less than 2 or $(-\infty, 1]$ or $(-\infty, 2)$ .

You might be interested in

A dot plot titled hours of practice this week going from 0 to 4. 0 has 1 dot, 1 has 2 dots, 2 has 0 dots, 3 has 4 dots, and 4 ha

WITCHER [35]

Answer:

1, 2, 3, 5

Step-by-step explanation:

I took the quiz

4 0

3 years ago

What are the factors of 2x + 3x - 54? Select two options

tiny-mole [99]

Answer:

The answer: The factors are (2x-9) and (x+6).

The Problem:

Factor $2x^2+3x-54$

Step-by-step explanation:

So I'm going to do trial factors using the choices to aid me.

Factored form for this problem if it exist will be in the form:

$(mx+n)(kx+p)$ .

In general this is what it would look like if we factored any quadratic in terms of $x$ (given the quadratic is not prime but technically you could factor even over the complex numbers).

Let's look at:

$(mx+n)(kx+p)$

We want to choose $k \text{ and } m$ such that when you multiply them you get 2. Well those would have to be 2 and 1.

$(2x+n)(x+p)$

we want to choose $n \text{ and } p$ such that when you multiply them you get -54. Based on the choices we want to get with -9 and 6, or 9 and -6. We don't know the order we want to choose it in either.

For example which of these would work:

$(2x-6)(x+9)$

$(2x+6)(x-9)$

$(2x-9)(x+6)$

$(2x+9)(x-6)$

We are going to consider only the outer and inner of FOIL since we already know the first times the first is $2x^2$ and the last times the last is $-54$ .