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3 years ago

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

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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.

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3 years ago

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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)

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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:

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Step-by-step explanation:

let y = number of hot dogs

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system:

y = 3x

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6 0

2 years ago