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lisabon 2012 [21]
2 years ago
8

What is the quotient: (2x2 + 10x + 12) ÷ (x + 3) ?

Mathematics
2 answers:
NARA [144]2 years ago
8 0
The answer is C.  Factor the equation: 2x^2 + 10x + 12 which gives you............. 2(x + 2) (x + 3), and then cancel out (x + 3) because dividing (x + 3) by itself gives you one and the remaining term is 2(x +2) which is the same as 2x +4.
Law Incorporation [45]2 years ago
3 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

f(x)=2x^2+10x+12\\\\and\\\\g(x)=x+3\\\\\frac{2x^2+10x+12}{x+3}

Now, we need to find the quotient of the given polynomial by dividing with g(x).

So, here we go:

Take out the common factor 2 from the numerator i.e. f(x), it becomes,

2\left(x^2+5x+6\right)

Now, we will apply the "Split the middle term", we get,

\left(x^2+5x+6\right)\\\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\=x\left(x+2\right)+3\left(x+2\right)\\\\=\left(x+2\right)\left(x+3\right)

So, we will divide f(x) with g(x) :

\frac{2\left(x+2\right)\left(x+3\right)}{x+3}

Now, Cancel out the like term :

So, we get

2\left(x+2\right)\\\\=2x+4

Hence, Option 'C' is correct.

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What is the perimiter, in feet, of a square whose area is 121 square feet
Ainat [17]

Square needs to have all equal sides and length and width are the same.

So sqrt the area.

sqrt 121 = 11

11 feet is the length of one side, square has 4.

So

11 * 4 = 44

The perimeter of a square (whose area is 121 feet) is 44 feet.

5 0
3 years ago
Factorise the following quadratic equations ​
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

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17

x² - 27x + 50 = (x - 25)(x - 2)

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r² - 25 ← is a difference of squares and factors in general as

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r² - 25

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5 0
3 years ago
Read 2 more answers
Please show work if you do, ( and get it right) I will make you brainliest!!!
DerKrebs [107]

Answer:

The percentage increase in bird population in the second years is 4%  .

Step-by-step explanation:

Given as :

During two years, the population of birds of an island became 7 times more than before.

The the percentage increase in first year = = r_1 =40%

Let The percentage increase in second year =  r_2 = r%

So, According to question

The initial population of bird = x

The increase population of bird =7 times before = 7 x

Now,

The increase population of bird = initial population of bird × (1+ \dfrac{r_1}{100}) ×  (1+ \dfrac{r_2}{100})

Or, 7 x = x × (1+ \dfrac{40}{100}) ×  (1+ \dfrac{r}{100})

Or, \dfrac{7 x}{x} = 1.4 ×  (1+ \dfrac{r}{100})

Or, 7 = 1.4 ×  (1+ \dfrac{r}{100})

Or, \dfrac{7 }{1.4} = (1+ \dfrac{r}{100})

Or, 5 = (1+ \dfrac{r}{100})

Or, (1+ \dfrac{r}{100}) = 5

Or, \dfrac{r}{100} = 5 - 1

Or,  \dfrac{r}{100} = 4

∴ r = 4 × 100

I.e r = 400

so, The percentage increase = r% = 4

Hence The percentage increase in bird population in the second years is 4%  . Answer

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