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
tatyana61 [14]
3 years ago
7

Please help I will give brainliest to the first person who answers both correctly

Mathematics
1 answer:
professor190 [17]3 years ago
4 0

Answer:

-(x - 4)^2

See below.

Step-by-step explanation:

Problem 1.

-x^2 + 8x - 16 =

First, factor -1 out of all terms. It can be written as simply a negative sign to the left of parentheses.

= -(x^2 - 8x + 16)

Now we factor the trinomial. We are told it is the square of a binomial.

x^2 is the square of x. 16 is the square of 4 and of -4. Since the middle term is negative, as in -8x, we need -4.

= -(x - 4)^2

Problem 2.

0.48xy + 36y^2 + 0.16x^2 =

First, rearrange the terms in order: x^2, xy, y^2.

= 0.16x^2 + 0.48xy + 36y^2

All terms are positive, so we only need the positive square roots.

The first term of the binomial is the square root of 0.16x^2, so it is 0.4x.

The second term of the binomial is the square root of 36y^2, so it is 6y.

= (0.4x + 6y)^2

As you pointed out, this gives 0.16x^2 + 4.8xy + 36x^2, which is not the original trinomial. The given trinomial is not the square of a binomial, and the problem is incorrect.

Factor 0.16x^2 + 0.48xy + 36y^2

0.16x^2 + 0.48xy + 36y^2 =

= 0.16(x^2 + 3xy + 225y^2)

For x^2 + 3xy + 225y^2 to factor as the square of a binomial, the middle term would have to be 2 * x * 15y = 30xy. The middle term is 1/10 of that, 3xy. This trinomial is not the square of a binomial.

You might be interested in
The percentage change of a ratio of two variables is approximately the percentage change in the numerator _____ the percentage c
olchik [2.2K]

Answer:

"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."

Step-by-step explanation:

The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.

Suppose the original ratio of two numbers is: \frac{25}{100}.

And the new ratio is: \frac{75}{100}

The percent change is:

Change\%=\frac{75-25}{100}\times100=\frac{50}{100}\times100=50\%

Thus, the complete statement is:

"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."

8 0
3 years ago
Read 2 more answers
Find the value of the expression 3d+5 when d=3
sergiy2304 [10]
3x3=9
9+5=14 hope this helps u
8 0
3 years ago
Read 2 more answers
Name 3 numbers between 0.33 and 0.34
Tamiku [17]

0.331

0.332

0.333

There you go.

3 0
3 years ago
Read 2 more answers
A new one-year membership at Silver Fitness Center costs $300. $30 of the $300 is paid up front as a registration fee and the re
Elena-2011 [213]

Answer:

$22.50

Step-by-step explanation:

First, you subtract 30 from 300 which is 270, then you divide 270 by 12 because there is 12 months in a year, and then you get 22.50 per month.

7 0
2 years ago
Carrie needs $45 to buy her mother a gift she has 22% saved up already how much does she still need
Alina [70]
She has $9.90 saved, she needs $35.10 more to buy the gift
5 0
3 years ago
Other questions:
  • Frank is building a table. He needs 4 pieces of wood for the table legs. Each piece of wood needs to be 7/8 of a foot long. What
    5·1 answer
  • Lines
    5·1 answer
  • Sam measured the height of a window frame as 5.23 feet, but the actual height was 6 feet. What is the percentage of error in Sam
    5·2 answers
  • Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet,
    15·1 answer
  • A garage floor measures 150 feet by 120 feet a scale drawing of the floor on grid paper uses a scale of 1 unit : 15 what are the
    11·1 answer
  • Leo reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page. The unit rate is blank pages per h
    14·1 answer
  • Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equati
    5·1 answer
  • Mark was remodeling his house. He took 26 2/3 square feet from 3 different rooms. What was the average change in square footage
    11·1 answer
  • Need help ASAP!!
    11·2 answers
  • For each fraction below find an equivalent fraction with a denominator 200. <br><br>fraction 14/25​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!