A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters: (x − 4)(3x − 1) Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

Answers

Answer 1

Answer: You have to foil. Times the first two: x(3x). Then times the outer two: x(-1). Then times the inner two: -4(3x). Finally, times the last two: -4(-1). Your equation would be 3x squared - 1x - 12x + 4. Therefore, the simplified answer is 3x^2 (3x to the second power) - 13x + 4.

Answer 2

Answer:

Answer:

Simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

Step-by-step explanation:

A conference room is in the shape of a rectangle.

Its floor has a length of (x − 4) meters and a width of (3x − 1) meters.

we know that Area of rectangle=Length×Breath

Area of floor of the room=(x-4)(3x-1)

(x-4)(3x-1)=x(3x-1)-4(3x-1) (Distributive property)

= 3x²-x-12x+4 (Distributive property)

= 3x²-13x+4 (On combining the like terms)

Hence, simplified expressions which represents the area of the floor of the conference room in square meters is:

3x²-13x+4

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Answers

$(x ^(-4) )^(5)$

Apply exponent rule :

$(a^b)^c = a^ ^(b.c)$

$=x ^((-4)*5)$

$(-4)*5$

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hope this helps!

Write 11 5/8 as an improper fraction

Answers

$11 (5)/(8)=11+(5)/(8)=(88)/(8)+(5)/(8)=(88+5)/(8)=(93)/(8)$

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Factor the trinomial in to 2 sets of parentheses
12a squared minus 13a minus 35

Answers

it can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

Longwood Photo and Hobby sold $465,000 worth of digital cameras last year. The total market for these cameras was $2,560,000. What market share did Longwood’s command? (Round to the nearest tenth of a percent.)

Answers

The answer is 18.2% and I got that by 465,000/2,560,000 which equals 0.18164. After that round it up to 18.2%.

What is 5.63×10−6in decimal form?a. 0.00000563 b. 0.000000563 c.5,630,000d. 56,300,000

Answers

$5.63 * {10}^( - 6)$

To convert into decimal, move the decimal to the left by 6 positions.

It will be 0.00000563

Answer is A.

Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system?A:6x + 12y = 13
B: 2x + y = -6
C:x - 2y = 7
D:8x - 4y = -5

Answers

Inconsistent-independent system means that there are no solutions.
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So when the two lines are parallel?
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So when you have an equation 4x+2y=9 we need to rewrite it to
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So the A factor is -2 (it is the number with x) and the B factor is 9/2

So all we need to do now is to find an equation with the same A factor.

Lets rewrite equations in answers:
A: 6x+12y=13 -> y=-1/2x+13/12 A=-1/2 - so it is not an equation we are looking for
B: 2x+y=-6 -> y=-2x-6 A=-2 - this is an equation we were looking for.
C: x-2y=7 -> y=1/2x-7/2 A=1/2 - so it is also not a good answer

The answer is B: the equation 2x+y=-6 will cause the inconsistent-independent system with the given equation.

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