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Darya [45]
3 years ago
10

Help me please I need it

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0

Answer:

width = 8 feet and length = 12 feet

Step-by-step explanation:

Let the width be w then the length = 3w - 12 ( 12 less than 3 times the width )

The area (A) of a rectangle is

A = length × width, that is

w(3w - 12) = 96 ← area of floor

3w² - 12w = 96 ( subtract 96 from both sides )

3w² - 12w - 96 = 0 ← in standard form for a quadratic equation

Divide all terms by 3

w² - 4w - 32 = 0

Consider the product of the factors of the constant term ( - 32) which sum to give the coefficient of the w- term (- 4)

The factors are - 8 and + 4, since

- 8 × 4 = - 32 and - 8 + 4 = - 4, hence

(w - 8)(w + 4) = 0

Equate each factor to zero and solve for w

w - 8 = 0 ⇒ w = 8

w + 4 = 0 ⇒ w = - 4

However, w > 0 ⇒ w = 8

Hence width = 8 feet

length = 3w - 12 = (3 × 8) - 12 = 24 - 12 = 12 feet

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Translate the sentence into an inequality.
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3 years ago
What are the domain and range of this function y=(x+3)^2 -5
n200080 [17]

Answer: Choice A

Note: the range should be [-5, \infty). See explanation below.

===================================================

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say (-\infty, \infty) which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that y \ge -5 and that translates to the interval notation [-5, \infty).

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote (-5, \infty) for choice A, when they should have written [-5, \infty)

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

8 0
3 years ago
Read 2 more answers
The sales tax rate is 6%, and the price of a movie ticket is x dollars. Choose two expressions for the cost of the ticket, inclu
trapecia [35]

Answer:

A 1.06x

D x+0.06x

Step-by-step explanation:

we know that

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so

The cost of the ticket, including the tax is equal to the price x multiplied by 1.06

1.06x

An equivalent expression is equal to

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3 years ago
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Answer:

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Step-by-step explanation:

|x - 3| < x – 3

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2. Solve each equation separately

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\begin{array}{rcl}x - 3 & < & x - 3\\x & < & x\\\end{array}\\\text{This is impossible. No solutions exist.}

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4 0
3 years ago
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The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

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Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.  

So just because books literature more we cannot say it is not representative  II option is not right, because each book was not chosen uniquely, just random books were drawn.

<h3>What is the population?</h3>

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

To learn more about the population visit:

brainly.com/question/27883697

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