Ask question

Ask question

All categories

3 years ago

6

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2

x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?
x2 + 4x – 15; 3 feet
x2 + 4x – 15; 6 feet
2x2 + 8x – 30; 6 feet
2x2 + 8x – 30; 12 feet

2 answers:

MissTica3 years ago

6 0

Answer:

The Answer is D 2x2 + 8x – 30; 12 feet

Step-by-step explanation:

ollegr [7]3 years ago

5 0

Answer:

$2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = $2x^2-16$ and breadth = $-x^2+4x+1$

Thus, perimeter of rectangle = $2(2x^2-16+(-x^2+4x+1))$

$=2(2x^2-16-x^2+4x+1)$

$=2(x^2+4x-15)$

$=2x^2+8x-30$

Thus, perimeter of rectangle is $2x^2+8x-30$ ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

$2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12$

Thus, $2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

You might be interested in

Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0

3 years ago

: Ruben put an empty cup underneath a leaking faucet. After 1 1 2 112 hours, Ruben had collected 1 4 14 cup of water. What is th

slamgirl [31]

Answer:

The rate is $\frac{1}{6}$ cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

it takes $\frac{3}{2} h$ for $\frac{1}{4}$ cup

it will take 1 h for how many cups?

$= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups$

Hence, the rate is $\frac{1}{6}$ cups per hour

6 0

4 years ago

23. Starting with x=0.81818181 , express x as a fraction in simplest form.

White raven [17]

You could do x=81 with the little line on the top (represents the number going on forever, and example is 0.818181818181818181818181818818181818 etc.)

6 0

3 years ago

Read 2 more answers

There are 5 boys and 6 girls participating in a singing contest. What is the likelihood that a girl will win the contest?

evablogger [386]

Answer:

add both for a total of 11

then 6/11 = .54 = 54%

5 0

3 years ago

Between what pair of numbers is the product of 289 and 7

algol13

The product of 289 and 7 is 2023

So 2023 is in between the pair of numbers 2022 and 2024

or even in between the pair of numbers 2020 and 2025. You can make a lot of pairs, haha.

6 0

3 years ago

Read 2 more answers