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3 years ago

What is the factored form of the expression 9x2 + 6x + 1?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx + b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = $\sqrt{9}$ = 3

b² = 1 ⇒ b = $\sqrt{1}$ = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

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3 years ago

2. Jessica's financial advisor believes that she should spend no more than 28% of her gross monthly income for housing. She has

scoray [572]

Jessica's annual salary is $68571.43.

Data;

percentage saved for housing = 28%
amount saved annually = $1600

<h3>Percentage</h3>

This is the ratio of a number to the entire value and multiplied by 100

The percentage set aside for housing is given as 28% which is $1600.

Let find 28% of x which is equal to 1600

$\frac{28}{100} = \frac{1600}{x}$

cross multiply both sides and solve for x

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Divide both sides by the coefficient of x

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Her monthly income is $5714.28.

Let's multiply this by 12 (months in a year) to determine her gross monthly income.

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From the above calculations, Jessica's annual salary is $68571.43.

Learn more on percentage here;

brainly.com/question/25567167

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2 years ago

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The

Nookie1986 [14]

Answer:

31.2 ft

Step-by-step explanation:

sin = opp/hyp

sin64 = 28/hyp

hyp = 28/sin64

use calculator

hyp = 31.15285433330529

Rounded

31.2 ft

8 0

3 years ago

Solve for t :<br> -18 = -3t<br> Please explain also!!

dlinn [17]

Answer: t = 6

Step-by-step explanation:

$-18=-3t$

To isolate t, divide by -3

$\frac{-18}{-3} =\frac{-3t}{-3}$

$6=t$

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3 years ago

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Answer:

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Step-by-step explanation:

desculpa ta beijos

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3 years ago