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grigory [225]
3 years ago
14

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1.

An open circle is at 4 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
Mathematics
2 answers:
olga55 [171]3 years ago
6 0

Answer:

Graph C

Step-by-step explanation:

Shkiper50 [21]3 years ago
5 0

Answer:

C. 2 is less than or equal to x

Step-by-step explanation:

E d g e n u i t y 2020

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A rectangular bedroom is 4 ft longer than it is wide. Its area is 252 ft2. What is the width of the room?
Ksenya-84 [330]

Answer:

14 ft

Step-by-step explanation:

Given:

  • Bedroom is 4 ft longer than it is wide.
  • Area is 252 ft².

Let x = width of the bedroom:

  • width = x ft
  • length = (x + 4) ft

Therefore:

\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies 252 & = x(x+4)\\252 & = x^2+4x\\x^2+4x & = 252\end{aligned}

To find the value(s) of x, complete the square.

Add the square of half the coefficient of the term in x to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2=252+\left(\dfrac{4}{2}\right)^2

\implies x^2+4x+4=256

<u>Factor</u> the perfect trinomial on the left side:

\implies (x+2)^2=256

<u>Square root</u> both sides:

\implies x+2= \pm \sqrt{256}

\implies x+2= \pm 16

Therefore:

\implies x=-2+16=14

\implies x=-2-16=-18

As width cannot be negative, the width of the room is 14 ft.

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