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NARA [144]
2 years ago
15

Factor 8x^3y + 38x^2y - 10xy

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

2xy(x+5)(4x−1)

Step-by-step explanation:

1 Find the Greatest Common Factor (GCF).

GCF = 2xy

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)

3 Simplify each term in parentheses.

2xy(4x^2 +19x−5)

4 Split the second term in 4x^2+19x-5 into two terms.

2xy(4x^2 +20x−x−5)

5 Factor out common terms in the first two terms, then in the last two terms.

2xy(4x(x+5)−(x+5))

6 Factor out the common term x+5.

2xy(x+5)(4x−1)

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Could someone please help and explain this to me
Lelu [443]

Answer:

Step-by-step explanation:

Four

Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.

More important, it tells you what to put in for x on the right.

f(z) would tell you to put z in for x anywhere there is an x on the right.

f(z)=2z+1. It is just a shorthand to tell you what to do on the right.

f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.

f(2) = 2(2) + 1

f(2) = 4 + 1

f(2) = 5

=================

Five

f(x) = -x - 5            The minus 4 is not going to change what you do.

f(-4) = -(-4) - 5        Wherever you see an x you put in a minus 4

f(-4) = 4 - 5

f(-4) = - 1

======================

Just so you know, consider a more complicated example

f(x) = 20x^3 + 7x^2 + 4x + 19

Where ever you see an x put in 2

f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19

f(2) = 20*8 + 7*4 + 4*2 + 19

f(2) = 160 + 28 + 8 + 19

f(2) = 215

Note x can be anything the question tells you it is.

f(5) means put a 5 in for every x.

8 0
3 years ago
A football team charges $30 per ticket and averages 20,000 people per game. Each person spend an average of $8 on concessions.Fo
olya-2409 [2.1K]

The ticket price that would maximize the total revenue would be $ 23.

Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:

  • 20,000 x 30 + 20,000 x 8 = 760,000
  • 24,000 x 25 + 24,000 x 8 = 792,000
  • 28,000 x 20 + 28,000 x 8 = 784,000
  • 26,000 x 22.5 + 26,000 x 8 = 793,000
  • 27,200 x 21 + 27,200 x 8 = 788,000
  • 26,400 x 22 + 26,400 x 8 = 792,000
  • 25,600 x 23 + 25,600 x 8 = 793,600
  • 24,800 x 24 + 24,600 x 8 = 792,000

Therefore, the ticket price that would maximize the total revenue would be $ 23.

Learn more in brainly.com/question/7271015

4 0
2 years ago
How can 18/24 the fraction be written as a fraction
Ede4ka [16]
\frac{18}{24} = \frac{6\times 3}{6\times 4} = \boxed{\frac{3}{4}}

18/24 can be written as 3/4 in simplest form.
7 0
2 years ago
Read 2 more answers
Whitney needed to earn $400 to buy a ticket to a concert. If she earns $15 an hour babysitting, how many hours does she need to
MrMuchimi

Answer:

Shes needs to work 26.67 hours

Step-by-step explanation:

In order to find the amount of time she needs to work, we need to divide the total by the rate that she earns money at. She needs a total of $400 and she gets 15 every hour.

400/15=26.67

Shes needs to work 26.67 hours

4 0
2 years ago
What's an expression that represents the sum of 7 and x?
babunello [35]
Its simple, the expression is 7+x and it does not have an equal sign since it is not an equation
5 0
3 years ago
Read 2 more answers
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