Solve: |2 + 4x| 11

1 answer:

5 0

Correct option is A) [-13/4, 9/4] .

<u>Step-by-step explanation:</u>

Here we have following equation as |2 + 4x| = 11 or , $|2 + 4x| = 11$ . We need to solve for the value of x .Let's find out:

We know that Modulus Function is both positive & negative for particular values of x , i.e.

|2 + 4x| is positive :

⇒ $|2+4x|=11$

⇒ $2+4x=11$

⇒ $4x=9$

⇒ $x = \frac{9}{4}$

|2 + 4x| is negative :

⇒ $|2+4x|=11$

⇒ $-2-4x=11$

⇒ $-4x=13$

⇒ $x = \frac{-13}{4}$

Therefore , Correct option is A) [-13/4, 9/4] .

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Elena-2011 [213]

<h3>Answer: 4368 square feet</h3>

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

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
In the upper right corner, we have an area of 70*6 = 420
In the lower left corner, we have an area of 50*8 = 400
In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368