1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
3 years ago
13

Please answer quicklyexpand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

You might be interested in
The square of a number plus three times the number is 70. find the numbers.
Harrizon [31]

Answer:

Step-by-step explanation:

The equation for that is

x^2+3x=70

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

x^2+3x-70=0

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:

x^2+10x-7x-70=0 and now we will factor by grouping:

(x^2+10x)-(7x-70)=0 and factor out what's common:

x(x+10)-7(x+10)=0

The factor (x + 10) is common, so we will now factor that out:

(x+10)(x-7)=0

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7

Those are the 2 numbers that will work.

(-10)^2+3(-10)=70 simplifies to

100 - 30 which does in fact equal 70. OR

(7)^2+3(7)=70 which simplifies to

49 + 21 which also equals 70.

So you're done!

3 0
3 years ago
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
gogolik [260]

Answer:

132

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me on this it’s due
olya-2409 [2.1K]
<h3>Answer:  5 cakes</h3>

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

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\

Do the same for the other mixed number 2 & 1/3.

a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\

-----------------------

From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\

The last step is to convert that result to a mixed number.

\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

-----------------------

Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

3 0
3 years ago
Juan has 20 books to sell. He sells the books for $15 each.
Anastaziya [24]

Answer:

Well u would multiply 20 x 15 to find out the highest if the range which is 300 . So that knocks it down to B or D. But since they're $15 each, It would be based of the multiples of 15 making your answer B .

The range is all the y values.....or the f(x) values .

So the practical range would be the multiples of 15 between 0 and 300,Inclusive .

<h2>Hope this helps you!! </h2>

5 0
2 years ago
Make a dot plot of the data. Use the dot plot to describe the data. page 515 number 8 17.5 independent practice
Radda [10]

Answer

What are the numbers

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Evaluate d/2 + c/3 for c = 6 and d = 10 <br><br> a) 10<br> b) 16/5<br> c) 7<br> d) 6
    6·1 answer
  • The sum of the measures of the interior angles of a triangle is 180 °. The measure of the 1st angle is 15 ° less than the 2nd. T
    7·1 answer
  • The maximum weight allowed per car on The Twister carnival ride is 263 pounds. Your friend weighs 86 pounds. To be able to ride
    6·1 answer
  • It has been found that women are excluded from social events with coworkers. One study at Company X, found that women only recei
    11·1 answer
  • Solve this equation: 80 = 3y + 2y + 4 + 1.
    5·2 answers
  • If x=5 and y=7 find the value of x(y-2)<br><br> i need help
    14·2 answers
  • 3 Question 4 (1 point) Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the following polynomials? - 2x
    6·1 answer
  • Please help asap!!!!!!!!!!!!!!
    5·1 answer
  • Nikki, Kylie and Andy are arguing about who has the biggest candy bar. Below are their measurements of each candy bar:
    7·2 answers
  • A contractor bought 10.8 ft to the second power of sheet metal. he has used 3.7ft to the scound power so far and has ​$113.60 wo
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!