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patriot [66]
3 years ago
5

Which of the binomials below is a factor of this trinomial ? 6x^2+30x+36

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0

Answer:

6((x+2)(x+3))    

Step-by-step explanation:

The given expression is:

6x^2+30x+36

On factorising this expression, we get

=6(x^2+5x+6)

=6(x^2+2x+3x+6)

=6(x(x+2)+3(x+2))

=6((x+2)(x+3))

therefore, on factorising the given expression 6x^2+30x+36, we get 6((x+2)(x+3)).

Thus, the binomial is 6((x+2)(x+3)).

algol [13]3 years ago
5 0
<span>6x2-5x-25 = (3x+5)(2x-5) when factored</span>
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Which pair of monomials has the least common multiple (LCM) of 54x2y3?
Lera25 [3.4K]

ANSWER

The correct answer is D.

EXPLANATION

If we express the monomial,

18 {x}^{2} y

as product of primes, we obtain:

2 \times  {3}^{2}  \times  {x}^{2}y

If we express the monomial

27x {y}^{3}

as product of primes we obtain:

=  {3}^{3}  \times x {y}^{3}

The least common multiple of these two binomials is the product of the highest powers of the common factors.

The LCM is

= 2 \times  {3}^{3}  \times  {x}^{2} {y}^{3}

=54 {x}^{2} {y}^{3}

Therefore the correct answer is D.

6 0
3 years ago
Read 2 more answers
What are the coordinates of the orthocenter of LMN ?
Sauron [17]

Answer:

a (1, 2.5)

Step-by-step explanation:

When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center.  Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b.  B wouldn't work since it is not at the exact center which makes your answer A.

8 0
3 years ago
an Carlos County Health Department reported 17 new cases of tuberculosis in the first half of 2001 and 18 additional cases durin
Tpy6a [65]

Answer:

San Carlos County

Step-by-step explanation:

a) Data and Calculations:

Number of cases of tuberculosis reported in the first half of 2001 = 17

Number of cases of tuberculosis reported in the second half = 18

Total number of cases reported = 35 (17 + 18)

Population of the county at the beginning of 2001 = 204,500

Population of the county at the end of the year = 215,000

Average population for the year = 209,750 (204,500 + 215,000)/2

Therefore, the incidence rate of tuberculosis in the county = 35/209,750 * 100

= 0.000167

b) Since the incidence rate is <1, it suggests that the population of San Carlos County is at a very reduced risk of exposure to tuberculosis.  This means that only 1 in 6,000 (209,750/35) people are exposed to the disease in the county.

5 0
3 years ago
Which of the following is the function of f(x)?
Natasha2012 [34]

Answer:

f(x) = 8(x-3)

Step-by-step explanation:

F^ -1 ( x) = x/8 +3

Let y = x/8+3

To find the inverse

Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

5 0
3 years ago
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Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each
Musya8 [376]

Answer:

6 hot dogs, 2 drinks

Step-by-step explanation:

let y = number of hot dogs

let x = number of drinks

system:

y = 3x

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if you graph the system, lines intersect at (2, 6)

6 0
2 years ago
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