All categories

9 months ago

Factor out the GCF -2x^2 - 4x - 6

Mathematics

1 answer:

andrew-mc [135]9 months ago

3 0

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

<h3>What is Greatest Common Factor?</h3>

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

-2(x^2-3x)+(x-3)

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is

Learn more about Greatest Common factor on:brainly.com/question/219464

#SPJ1

You might be interested in

What is the area of the triangle?

KATRIN_1 [288]

The answer is D = 12 square inches

6 0

2 years ago

Read 2 more answers

explain how to find the area of a composite figure. (you do not need to know what shapes, just explain what you do to solve for

OlgaM077 [116]

Answer: A composite figure is made up of simple geometric shapes. To find the area of a composite figure or other irregular-shaped figure, divide it into simple, non overlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

7 0

2 years ago

Help me answer the question

Nastasia [14]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

Mother's age = x
Revathi's age = 1/3 x = ?
Difference in their age = 24 years ⇨ x - 1/3 x = 24.

Now, let's solve this question using the above equation which we just formed.

$\sf \: x - \frac{1}{3}x = 24 \\$

Combine x and $\sf\:-\frac{1}{3}x$ to get $\sf\frac{2}{3}x$ .

$\sf\frac{2}{3}x=24 \\$

Multiply both sides by $\sf\frac{3}{2}$ , the reciprocal of $\sf\frac{2}{3}$ .

$\sf \: x=24\times \left(\frac{3}{2}\right)$

Express $\sf24\times \left(\frac{3}{2}\right)$ as a single fraction.

$\sf \: x=\frac{24\times 3}{2} \\$

Multiply 24 and 3 to get 72.

$\sf \: x=\frac{72}{2} \\$

Divide 72 by 2 to get 36.

$\boxed{ \bf \: x=36 }$

We now have the age of Revathi's mother (x) = 36 years. Now, let's find Revathi's age ⇨ $\sf\:(\frac{1}{3}x)$

$\rightarrow \sf \: \frac{1}{3} x \\ \rightarrow \sf \: \frac{1}{3} \times 36 \\ \rightarrow \sf \: \frac{1}{ \bcancel 3} \times \bcancel{36} \\ \rightarrow \sf \:1 \times 12 \\ = \boxed{\boxed{\bf \: 12}}$

So, Revathi is 12 years old.

6 0

2 years ago

Read 2 more answers

A small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go

luda_lava [24]

Answer:

Constant of proportionality should be 48.

Step-by-step explanation:

Given that a small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go directly to freezer storage and 80% are loaded on a truck for delivery.

Now we need to find about what is the constant of proportionality for the number of pies baked and loaded on a truck for delivery.

Number of baked pies = 180

Number of pies loaded on truck for delivery = 80% of baked pies

= 0.80(180)= 144 in 3 hours.

So number of pies loaded per hour = 144/3= 48

Hence constant of proportionality should be 48.

8 0

3 years ago

I neeeeed heeeeeeeeeeelp

xenn [34]

The answer is C for that question

3 0

3 years ago

Read 2 more answers