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2 years ago

Factoring a trinomial

Mathematics

2 answers:

erastovalidia [21]2 years ago

8 0

Answer:

8(y + 3)(y + 4)

Step-by-step explanation:

Factor out 8 from each term

= 8(y² + 7y + 12) ← factor the quadratic

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the y- term (+ 7)

The factors are + 3 and + 4, since

4 × 3 = 12 and 4 + 3 = 7, hence

y² + 7y + 12 = (y + 3)(y + 4), and

8y² + 56y + 96 = 8(y + 3)(y + 4) ← in factored form

Setler79 [48]2 years ago

5 0

Answer:

Answer is 8(y + 4)(y + 3) when you factor it.

Step-by-step explanation:

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3 years ago

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3 years ago

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Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

nadezda [96]

<h2> $\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}$ </h2>

∠RSU and ∠USV are complementary angles
∠RSU = (4x – 15)°
∠USV = 20°

<h2> $\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}$ </h2>

The value of x

<h2> $\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$ </h2>

∠RSU and ∠USV are complementary angles

$\sf\implies{ \angle RSU + \angle USV = 90 \degree }$

$\sf\implies{ (4x-15) + 20 = 90 }$

$\sf\implies{ 4x-15+20=90}$

$\sf\implies{4x+5=90}$

$\sf\implies{4x=90-5}$

$\sf\implies{4x=85}$

$\sf\implies{x={\dfrac{85}{4}}}$

$\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}$

<h2> $\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}$ </h2>

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2 years ago

Which inequality describes this graph?

ZanzabumX [31]

The inequality that describes this graph of the number line is x ≥ 4

<h3>How to determine the inequality that describes this graph?</h3>

From the question, we have the following properties:

The graph is a number line
The number line extends at both ends
The number line starts from less than -5 and ends at greater than 5
There is a heavy arrow that extends from a circle over positive 4 to the right.

The property 3 above implies that the domain of the number line is the set of all real numbers.

The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4

This is represented by the following inequality

x ≥ 4

Hence, the inequality that describes this graph of the number line is x ≥ 4