Factorize : x^3 + 6x^2 + 11x + 6
can you tell me the fast cause i am doing my exam:)

Answer:

b

Step-by-step explanation:

The roots of the quadratic equation x² + 3x - 6 = 0 are, x = [- 3 + √(33)]/2,

x = [- 3 - √(33)]/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We any to find any types of roots of a quadratic equation, real, complex or imaginary we use the formula,

[- b ± √(b² - 4ac)]/2a.

Therefore, The roots of the quadratic equation x² + 3x - 6 = 0 is,

x = [- 3 ± √(3² - 4×1×-6)]/2×1.

x = [- 3 ± √(9 + 24)]/2.

x = [- 3 ± √(33)]/2.

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Answer:

L ACB = 25 ( L at centre = 2× L at circumference)

prove

sum = 75

centre = 50

then L AOB +ACB = 75

50 + L ACB =75

L ACB = 75 - 50

then L ACB= 25

Answer:

5=26

14=17

n=1

31n=31*1=31

Answer:

Step-by-step explanation:

A =1/2 *h (x+y)

A =hx+hy/2

A*2 =hx+hy

2A =hx+hy

2A - hy = hx

(2A -hy)/h = x

Answer:

x = [tex]\frac{2A-hy}{h}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] h(x + y) ← multiply both sides by 2 to clear the fraction

2A = h(x + y) ← distribute

2A = hx + hy ( subtract hy from both sides )

2A - hy = hx ( divide both sides by h )

[tex]\frac{2A-hy}{h}[/tex] = x

Answer:

C, never negative

absolute value is like asking for "how much away from zero", so -5 is 5 away from zero.

The graph of the function is increasing when x>0.

Graph a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

here, we have,

We know, cube root parent is:

The basic parent cube root function is of the form f (x) = ∛x. It increases on the interval (-∞, ∞). It increases on the interval [0, ∞). It is positive on (0, ∞) and negative on (-∞, 0). It is a non-negative function always (on [0, ∞)). Its absolute min is 0 but no absolute max. Its domain and range is the set of all real numbers.

Given,

The function f(x) = ∛x

Let x = 1, we get f(x) = 1,

x =2, f(x) = 8

if x =3, f(x) = 27.

As we know, with increase in the value of x, the value of f(x) is also increasing.

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Answer: -2

Explanation:  On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]

Simplified that is -2 which is the slope of the line

Answer:

B: Line b is the correct answer

Answer:

a). 2700

b). 385.7

Step-by-step explanation:

According to the Question,

Given that, Adwoa received a commission of 20% on the bread she sold. In one week, Adwoa's commission was 540.

let x be the total cost of bread she sells during the week.

a). Thus, 20% of x = 540

x = 540 × (100/20)  ⇒ 2700 is the total cost of bread she sells during the week.

b). Now, her average daily commission is 2700/7 ⇒ 385.7

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.

Answer:

p = 1/2

Step-by-step explanation:

(4p - 1)^2 = 4p^2

(4p - 1)^2 =(2p)^2

4p - 1 =[tex]\sqrt{(2p)^2}[/tex]

4p - 1 =2p

4p - 2p =1

2p = 1

p =1/2

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Step-by-step explanation:

please, write the problem statement properly. it is not clear what you are asking for.

for example, the way how you wrote it, the first expression would be

58 × 5 - 6

and that would be (remember, multiplication and division happen before any additions or subtractions)

58 × 5 - 6 = 290 - 6 = 284

nothing on the right side of numbers fits to that.

so, I am speculating. did you mean

58 × (5-6) ?

in that case we get

58 × (5-6) = 58 × (-1) = -58

and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.

and then I just propose that the right side could look like

-2×5 - 48 (which would also be -58).

but again, this could be something completely different.

so, please, write your problem statement again. and carefully.

Answer:

no clue.com

Step-by-step explanation:

i have no idea.com

Answer:

Less than.

Step-by-step explanation:

Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

Answer:

a = 1/8

b = 8

Step-by-step explanation:

a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8

b( 1/2 ) ^ -3  The negative exponent means 1 / (1/2)^3  = 1/ (1/8) = 8

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

Answer:

1/12

Step-by-step explanation:

multiple of 3 and a multiple of 4 implies it can only be 12.

Since you only have the numbers from 1 to 12,

the prob(the 12) = 1/12

Answer: 172.3ft

Step-by-step explanation:

Answer:

A. [tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

When given the following problem,

[tex]\sqrt[3]{56x^7y^5}[/tex]

The problem asks one to find the cube root of the value under the radical. The cube root of a number is essentially a value that must be multiplied by itself three times to get the result under the radical. An easy way to do this is to prime factorize the value under the radical sign. This will allow one to see the components of the number, thus making it easier to take value out of the radical;

[tex]=\sqrt[3]{7*2^3x^7y^5}[/tex]

Now divide each of the exponents by (3), write the whole result outside the radical, and the remainder under the radical,

[tex]=2x^2y\sqrt[3]{7xy^2}[/tex]

Answer:

14/3

Step-by-step explanation:

Set up two ratios and cross multiply. Solve for missing segment.

[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{7}[/tex]

3x = 14

x = 14/3

Answer:

outcome 10

simple space10

A 5

B 5

C 5

Step-by-step explanation:

Hope this helps!!!

Answer:

option A

Step-by-step explanation:

[tex]\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }[/tex]

Answer:

x=±2√5

Step-by-step explanation:

x²=20

x²=4×5

x²=(2√5)²

therefore,x= ±2√5

Answer:60

Step-by-step explanation:20x6=120 120/2=60

Answer:

200 cubic centimetres

Step-by-step explanation:

Length = [tex]20 \: cm[/tex]

Width = [tex]6 \: cm[/tex]

Height = [tex]5 \: cm[/tex]

Volume = [tex] \frac{1}{3} \times w \times l \times h[/tex]

[tex] = \frac{1}{3} \times 20 \times 6 \times 5[/tex]

[tex] = \frac{20}{3} \times 6 \times 5[/tex]

[tex] = \frac{20}{3} \times (3(2)) \times 5[/tex]

[tex] = 20 \times 2 \times 5[/tex]

[tex] = 40 \times 5[/tex]

[tex] = 200 \: {cm}^{2} [/tex]

Answer:

Option (1)

Step-by-step explanation:

Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.

Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.

Therefore, the given trapezium can't be an isosceles trapezium.

Option (1) will be the correct option.

Answer:

ASA

Step-by-step explanation:

Given the lines, we know ED = CD

Given the right angles, we know angle DEF = angle BCD

Because angles BDC and FDE are on the same line, and are opposite of each other, those are congruent as well