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2 years ago

Any one like polynomials?

Mathematics

2 answers:

victus00 [196]2 years ago

8 0

Answer:

Area: 240x² - 72x - 240

Perimeter: 64x + 28

Dimensions: l = 60, w = 50

Step-by-step explanation:

For Area:

Multiply length by width.

(12x + 24) • (20x - 10)

Let's foil this out (first, outer, inner, last)

240x² - 120x + 48x - 240

Simplify.

240x² - 72x - 240

For Perimeter

Remember that a rectangle has two sets of matching parallel sides.

Let's write out our equation.

2(12x + 24) + 2(20x - 10)

Distribute and break it down.

24x + 48 + 40x - 20

Simplify.

64x + 28

Perimeter For Given Value

Now we'll solve for if the perimeter was 220 feet.

Let's use the perimeter equation from above to find x.

64x + 28 = 220

64x = 192

x = 3

Now that we know x is 3, we'll substitute it into the equations in your question.

12(3) + 24 20(3) - 10

36 + 24 60 - 10

60 50

The length is 60ft and the width is 50 ft.

GREYUIT [131]2 years ago

6 0

Answer:

2o.x that the anwers shs

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Answer:

Step-by-step explanation:

x < -12, so x+12 < 0

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2 years ago

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Maksim231197 [3]

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3 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

Nine students were asked how many miles they live from school. Their answers are listed below.

Zielflug [23.3K]

Answer: The mode is: 3 . The range is: 6 .
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Explanation:
___________________________________
It would be best to list this values in the data set given, from least to greatest:
________________________________________________
{ 3, 3, 3, 3, 4, 5, 5, 6, 9 } .
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The mode is the number that occurs most frequently in the data set, which is: "3".
_________________________________________________________
{The number, "3", occurs FOUR (4) times. The number, "4", occurs ONE (1) time. The number, "5", occurs TWO (2) times. The number, "6", occurs ONE (1) time. The number, "9", occurs ONE (1) time.}.
___________________________________________________
The range is calculated from subtracting the LOWEST value in the data set FROM the HIGHEST value in the data set.
____________________________________________________
The lowest values in the data set is: "3" .

The highest value in the data set is: "9" .
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To calculate the range: 9 − 3 = 6 . The range is: "6".
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Answer: The mode is: 3 . The range is: 6 .
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3 years ago

The students at a High School earned money for an international animal rescue foundation. 82 seniors earned an average $26.75 pe

Anon25 [30]

Answer: A. $16.13

Step-by-step explanation:

Total students = 82+74+96+99 =351

Sum of earnings of 82 seniors = $26.75 x 82= $2193.5

Sum of earnings of 74 juniors = $12.25 x 74 = $906.5

Sum of earnings of 96 sophomores = $15.50 x 96 = $1488

Sum of earnings of 99 freshmen = $10.85 x 99 = $1074.15

Total earnings = $2193.5 + $906.5+ $1488 +$1074.15

= $5662.15

(Total earnings) ÷ (Total students )

= $5662.15÷ 351

= $16.13

4 0

3 years ago