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erik [133]
3 years ago
15

What is the simplified expression

Mathematics
2 answers:
Inessa [10]3 years ago
7 0

Answer:

-4x-1

Step-by-step explanation:

KiRa [710]3 years ago
7 0

Hello,

-1(2x + 3) - 2(x - 1) = -1 * 2x - 1 * 3 - 2 * x - 2 * -1 = - 2x - 3 - 2x + 2 = -4x - 1.

Have a nice day !

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A new Community Center is being built in Oak Valley. The perimeter of the rectangular playing field is 382 yards. The length of
vesna_86 [32]

Answer:

The width is 50 yards and the length is 141 yards.

Step-by-step explanation:

Let's call: L the length of the field and W the width of the field.

From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:

2L + 2W = 382

Because the perimeter of a rectangle is the sum of two times the length with two times the width.

Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:

L = 3W - 9

So, replacing this last equation on the first one and solving for W, we get:

2L + 2W = 382

2(3W - 9) + 2W = 382

6W -18 +2W = 382

8W - 18 = 382

8W = 382 + 18

8W = 400

W = 400/8

W = 50

Replacing W by 50 on the following equation, we get:

L = 3W - 9

L = 3(50) - 9

L = 141

So, the width of the rectangular field is 50 yards and the length is 141 yards.

3 0
2 years ago
Christopher is 20 years younger than ishaan. ishaan and christopher first met two years ago. fourteen years ago, ishaan was 3 ti
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4 0
2 years ago
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Find the volume of the following figure. Round the answer to the nearest hundredth if necessary.
telo118 [61]

Answer:

48 yd^3.

Step-by-step explanation:

Volume of a pyramid = 1/3  * height * area of the base.

The area of the triangular base = 1/2 * height * base = 1/2*6*8

= 24 yd^2.

So the volume of the figure

= 1/3 * 6 * 24

= 2*24

= 48 yd^3.

8 0
1 year ago
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x3 − 27x + 3 (a) Find the interval of increase. (E
xxTIMURxx [149]

Answer:

(-∞,-3) and (3,∞)  

Step-by-step explanation:

f(x) = x³ − 27x + 3

1. Find the critical points

(a) Calculate the first derivative of the function.

f'(x) = 3x² -27  

(b) Factor the first derivative

f'(x)= 3(x² - 9) = 3(x + 3) (x - 3)

(c) Find the zeros

3(x + 3) (x - 3) = 0

x + 3 = 0      x - 3 = 0

     x = -3          x = 3

The critical points are at <em>x = -3</em> and x = 3.

2. Find the local extrema

(a) x = -3

f(x) = x³ − 27x + 3 = (-3)³ - 27(-3) + 3 = -27 +81 + 3 = 57

(b) x = 3

f(x) = x³ − 27x + 3 = 3³ - 27(3) + 3 = 27 - 81 + 3 = -51

The local extrema are at (-3,57) and (3,-51).

3, Identify the local extrema as maxima or minima

Test the first derivative (the slope) over the intervals (-∞, -3), (-3,3), (3,∞)

f'(-4) = 3x² -27 = 3(4)² - 27  = 21

f'(0) = 3(0)² -27 = -27

f'(4) = 3(4)² - 27 = 51

The function is increasing on the intervals (-∞,-3) and (3,∞).

The graph below shows the critical points of your function.

6 0
3 years ago
A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound?
worty [1.4K]
The frequency stays the same and the wavelength decreases.
6 0
3 years ago
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