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2 years ago

How do you factor this trinomial 4a^2-4a+1

Mathematics

1 answer:

ElenaW [278]2 years ago

4 0

Answer:

$(2a-1)(2a-1)$

Step-by-step explanation:

To write the factored form, multiply a*c from the standard form $ax^2+bx+c$ . Here it is 4*1 = 4.

Then find factors of 4 that add to b=-4.

4: 1,2,4

-2+-2 = -4

Split the middle term into -2x+-2x and factor by grouping.

$4a^2-2a+-2a+1\\(4a^2-2a)+(-2a+1)\\2a(2a-1)-1(2a-1)\\(2a-1)(2a-1)$

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Which of the following is a quantity that could be represented by the number

Komok [63]

Answer:

2.404 x 10^6?. A. the population of Iowa. B. the diameter (in meters) of an atom. C. the thickness (in meters) of a sheet of printer paper. D. the amount of money (in US dollars) in the average checking account. .

When 2.404 x 10^6 is expressed in another form, the number is equal to 2,404,000. The population of a place would possibly be around this number. It cannot be the diameter of an atom since the number is too large not the thickness of a paper. It is not a common case also that the money in a bank account is around this number. Answer is A.

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3 years ago

Simplify the expression -1/2(-5/6 + 1/3)

alexira [117]

Answer: 1/4

Step-by-step explanation:

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2 years ago

a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on eac

uysha [10]

Answer:

3 more students need to sign up

Step-by-step explanation:

Let the equal number of students in 9 teams be x.

Total number of signed up students = 690.

Let t be the required number of students to be signed.

Therefore, 9x = 690+t.

This means, 690+t is a multiple of 9.

The least value of t to make 690+t, a multiple of 9 is 3 and hence,

$\frac{693}{9}$

= 77

Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.

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2 years ago

Given f(x) = -6x - 1 and g(x) = x3, choose<br> the expression for fºg)(x).

Gelneren [198K]

Answer:

- 6x³ - 1

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

(f ￮ g)(x)

= f(x³ )

= - 6(x³) - 1

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2 years ago

What is the multiplicative inverse of −9?

Romashka-Z-Leto [24]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Multiplicative inverse is a pair of numbers which product gives 1.

Then

x will be our number

-9x = 1

x = - 1/9

because

-9 x $\frac{-1}{9}$ = $\frac{9}{9}$ = 1

8 0

2 years ago