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wolverine [178]
3 years ago
5

Select the correct answer.

Mathematics
2 answers:
Svetlanka [38]3 years ago
3 0

Answer:

<h3>\boxed{ \boxed{ \bold{ {x}^{2}  + 4x - 21}}}</h3>

Step-by-step explanation:

\sf{(x - 3)(x + 7)}

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒\sf{x(x  + 7) - 3(x + 7)}

⇒\sf{ {x}^{2}  + 7x - 3x  - 21}

Collect like terms

⇒\sf{ {x}^{2}  + 4x - 21}

Hope I helped!

Best regards!!

LUCKY_DIMON [66]3 years ago
3 0

Answer:

\boxed{\boxed{\boxed{\red{{x}^{2}  + 4x - 21}}}}

Step-by-step explanation:

(x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\  {x}^{2}  + 7x - 3x - 21 \\  {x}^{2}  + 4x - 21

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Solve for |2x + 4|-1=7
Rudik [331]

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

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3 years ago
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Simplify 15(10-4-2)<br> 14<br> 015/2<br> 52-4110<br> O 105-4110
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\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}

let's simplify ~

\qquad \sf  \dashrightarrow \:  \sqrt{5} (10 - 4 \sqrt{2} )

\qquad \sf  \dashrightarrow \: ( \sqrt{5}  \times 10) - ( \sqrt{5}  \times  4\sqrt{2)}

\qquad \sf  \dashrightarrow \: 10 \sqrt{5}  -  4\sqrt{10}

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