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2 years ago

What is the factorization of the expression below?

Mathematics

1 answer:

olchik [2.2K]2 years ago

8 0

Answer: D. (x-6)(x-6)

Step-by-step explanation:

We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:

$x^{2}-12x+36$ (1)

First term: $x^{2}$

Third term: $36=6^{2}$

If we factorize this expression we have:

$(x-6)(x-6)=x^{2}-6x-6x+36=x^{2}-12x+36$

As we can see, the trinomial (1) has two factors:

$(x-6)$ and $(x-6)$

Therefore, the correct option is D.

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There are 162 magazines and books in a library. There are 54 more books

Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

Given the following data;

Total number of m & b = 162

Translating the word problem into an algebraic equation, we have;

$b = m + 54$ ......equation 1

$m + b = 162$ ......equation 2

Substituting equation "1" into equation "2" we have;

$m + m + 54 = 162$

$2m + 54 = 162$

$2m = 162 - 54$

$2m = 108$

$m = \frac {108}{2}$

m = 54

Now to find the number of books;

$b = m + 54$

Substituting the value of "m" into the equation, we have;

$b = 54 + 54$

b = 108

Therefore, the total number of books in the library is 108 books.

7 0

3 years ago

If f(x) = 2x^4, then f'(3) =

valkas [14]

To find f'(3) (f prime of 3), you must find f' first. f' is the derivative of the function f(x).

Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.

The power rule for derivatives is $\frac{d}{dx} [x^{n} ] =nx^{n-1}$ . In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.

f'(x) = $\frac{d}{dx}$ (2x⁴)

f'(x) = 2(4)x³

f'(x) = 8x³

Now, to find f'(3), plug 3 into your derivative.

f'(3) = 8(3)³

f'(3) = 216

<h3>Answer:</h3>

f'(3) = 216

6 0

2 years ago

Can you help me with all 15 questions on the test

Schach [20]

Answer:

i can try just put the questions up

Step-by-step explanation:

7 0

2 years ago

At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is repr

Sedbober [7]

Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

6 0

2 years ago

Solve these compound interest problems and round your answer to the nearest 100th.

MatroZZZ [7]

Answer:

$2,226.96

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

First, change 10% into its decimal form:

10% -> $\frac{10}{100}$ -> 0.1

Now lets plug in the values into the equation:

$A=500(1+\frac{0.1}{12})^{15(12)}$

$A=2,226.96$

The final amount after 15 years is $2,226.96

4 0

3 years ago