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igomit [66]
3 years ago
6

A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines

the area of the rectangle (in square inches) given the length of the rectangle in inches, l.
Mathematics
1 answer:
Verdich [7]3 years ago
5 0

Answer:

g(L) = 175L - L²

Step-by-step explanation:

350 = 2(length + width)

length + width = 175

Let L be the length,

L + width = 175

width = 175 - L

Area = length × width

g(L) = L(175 - L)

g(L) = 175L - L²

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The sum of what integer and 181 is equal to -236?
slavikrds [6]

Answer:

<h2>- 417</h2>

Step-by-step explanation:

n - integer

The sum of n and 181 is equal to -236:

n + 181 = -236              <em>subtract 181 from both sides</em>

n + 181 - 181 = -236 - 181

n = -417

6 0
3 years ago
Solve this question...6
Hitman42 [59]

Answer:

Step-by-step explanation:

1 tyres time to install is 56/4=14

which means it takes 14 minutes to install one tire.

so 12 tires would be 12 x 14 which is 168 minutes

A) 168 minutes

1 tire = 14 min

42 min/14 min=3

B) 3 tires

4 0
2 years ago
The graph of a trigonometric function oscillates between y=1 and y=-7. It reaches its
madam [21]

Answer:

y = 4 sin(½ x) − 3

Step-by-step explanation:

The function is either sine or cosine:

y = A sin(2π/T x) + C

y = A cos(2π/T x) + C

where A is the amplitude, T is the period, and C is the midline.

The midline is the average of the min and max:

C = (1 + -7) / 2

C = -3

The amplitude is half the difference between the min and max:

A = (1 − -7) / 2

A = 4

The maximum is at x = π, and the minimum is at x = 3π.  The difference, 2π, is half the period.  So T = 4π.

Plugging in, the options are:

y = 4 sin(½ x) − 3

y = 4 cos(½ x) − 3

Since the maximum is at x = π, this must be a sine wave.

y = 4 sin(½ x) − 3

4 0
3 years ago
How do you perform this: 2x+3y=25 3x+4y=22
meriva

Answer:

x = -34 , y = 31

Step-by-step explanation suing Gaussian elimination:

Solve the following system:

{2 x + 3 y = 25

3 x + 4 y = 22

Express the system in matrix form:

(2 | 3

3 | 4)(x

y) = (25

22)

Write the system in augmented matrix form and use Gaussian elimination:

(2 | 3 | 25

3 | 4 | 22)

Swap row 1 with row 2:

(3 | 4 | 22

2 | 3 | 25)

Subtract 2/3 × (row 1) from row 2:

(3 | 4 | 22

0 | 1/3 | 31/3)

Multiply row 2 by 3:

(3 | 4 | 22

0 | 1 | 31)

Subtract 4 × (row 2) from row 1:

(3 | 0 | -102

0 | 1 | 31)

Divide row 1 by 3:

(1 | 0 | -34

0 | 1 | 31)

Collect results:

Answer: {x = -34 , y = 31

6 0
3 years ago
if a plate of car consists of two letters and four digits and one car is chosen at random, then find the probability that the ca
Luba_88 [7]

Answer:

if u take 1 degree to 78 its answer is 79

Step-by-step explanation:

got it?

7 0
2 years ago
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