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3 years ago

Solve for the equation, show all your work: 6x(x + 1) = -2(3x + 9)

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

Answer:

x = 9

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Answer x = 9

sweet [91]3 years ago

7 0

Answer:

There are no real solutions

Step-by-step explanation:

6x(x+1)=-2(3x+9)

divide both sides by 2

3x*(x+1)= -(3x+9)

distibute

3x^2 + 3x= -3x-9

move variable and change sign

3x^2+3x+3x=-9

collect like terms

3x^2+6x= -9

divide both sides by 3

x^2 +2x=-3

add 1^2 to both sides of the equation

x^2+2x+1^2=-3+1^2

factor and simplify

(x+1)^2= -2

solve for x

(This statement is false for any value of x because the power function with an even exponent is always positive or 0)

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Tcecarenko [31]

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD (vertically opposite angle)

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3 years ago

Read 2 more answers

In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?

Alexxx [7]

Answer: 2

Step-by-step explanation:

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3 years ago

Activity 1.1 Simplify Me Simplify by removing perfect nth powers: 1. √20 2. √300 3. √128 3 4. √ 5 3 5. √50 3

LekaFEV [45]

Answer:

$(a)\ \sqrt{20}=2\sqrt{5}$

$(b)\ \sqrt{300} = 10 \sqrt{3}$

$(c)\ \sqrt{128} = 8 \sqrt{2}$

Step-by-step explanation:

Required

Simplify

$(a)\ \sqrt{20}$

Express 20 as 4 * 5

$\sqrt{20}=\sqrt{4 * 5}$

Split

$\sqrt{20}=\sqrt{4} * \sqrt{5}$

This gives:

$\sqrt{20}=2 * \sqrt{5}$

$\sqrt{20}=2\sqrt{5}$

$(b)\ \sqrt{300$

Express as 100 * 3

$\sqrt{300} = \sqrt{100} * \sqrt{3}$

This gives:

$\sqrt{300} = 10 * \sqrt{3}$

$\sqrt{300} = 10 \sqrt{3}$

$(c)\ \sqrt{128}$

Express as 64 * 2

$\sqrt{128} = \sqrt{64*2}$

Split

$\sqrt{128} = \sqrt{64} * \sqrt{2}$

$\sqrt{128} = 8 * \sqrt{2}$

$\sqrt{128} = 8 \sqrt{2}$

Questions 4 and 5 are not clear

Follow the steps in 1 - 3 to solve 4 and 5

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3 years ago

At a family reunion, a family friend brings 20 pounds of ice and 30 cups. Which expression shows the greatest common factor, usi

Eddi Din [679]

The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)

Pounds of ice = 20

Number of cups = 30

The relation for the distributive property :

a × (b + c)

Expand ;

a × (b + c) = (a × b) + (a × c) = ab + ac

Finding the greatest common factor of 20 and 30 ;

20 = 2 × 10

30 = 3 × 10

(2 × 10) + (3 × 10)

According to the distributive property

(2 × 10) + (3 × 10) = 10(2 + 3)

Therefore, the expression for the greatest common factor is 10(2 + 3)

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3 years ago

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