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3 years ago

Factorise 6x^2 + 11x + 4

Mathematics

2 answers:

MatroZZZ [7]3 years ago

8 0

Answer:

Step-by-step explanation:

6x^2+11x +4

Multiply the constant 4 by 6x^2.

Hence 4 times 6x^2 = 24x^2

Get two numbers when you multiply them it will give you 24 but if you add them it will give 11.

The numbers are +8 and +3 because +8 x +3= +24

and +8 + 3 = 11.

Substituting +8x +3x as 11x in the equation:

6x^2 +8x +3x +4

(6x^2+ 8x) + (3x + 4)

Factorizing the common things in the bracket.

2x(3x + 4) +1 (3x +4) since the common factor between (3x + 4) is 1.

Grouping the values outside together: (2x+1) (3x +4) =0

Therefore, 2x + 1 = 0 or 3x +4 = 0

2x = -1 or 3x = -4

x = -1/2 or -4/3.

Thanks.

zysi [14]3 years ago

4 0

(3x+4)(2x+1)

If the question asks you to find roots/solutions:

3x + 4 = 0
3x = -4
x = -1.33333333

2x + 1 = 0
2x = -1
x = -0.5

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Answer

a) C

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d) 15.5

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Step-by-step explanation

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b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

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f) $f(t)=16.2−0.062t =12$

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3 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

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Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

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By solving this equation,

We get, x = 2.775 or x = 5.225

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3 years ago

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3 years ago

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3 years ago

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There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

Thus total orders received over first year:

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

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3 years ago

Factorise 6x^2 + 11x + 4​

Factorise 6x^2 + 11x + 4