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blondinia [14]
3 years ago
5

12. (07.06 LC) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x −

1) meters. The expression below represents the area of the floor of the building in square meters: (3x + 5)(5x − 1) Which of the following simplified expressions represents the area of the floor of the library building in square meters? (5 points) 28x − 5 15x2 − 5 15x2 + 28x − 5 15x2 + 22x − 5
Mathematics
1 answer:
Goshia [24]3 years ago
8 0

ANSWER

15 {x}^{2} + 22x - 5

EXPLANATION

It was given that, the length of the rectangular building is

(3x + 5) \: meters

and the width of the is

(5x - 1) \: meters

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

A = l \times w

Since the dimensions are given in terms of x, the area is also a function of x,

A(x) = (3x +5 )(5x - 1)

We expand to get,

A(x) = 3x(5x - 1) + 5(5x - 1)

A(x) = 15 {x}^{2}  - 3x + 25x - 5

A(x) = 15 {x}^{2} + 22x - 5

meters square

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Answer:

x₁ > x₂

Step-by-step explanation:

Both actions imply a parable trajectories, since both are projectile shot cases.

Let´s call x₁ maximum distance in the first case

The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.

In the second case, the parable curve is modeled by:

y = x₂*( 0.08 - 0.002x₂)    or  y = 0.08*x₂ - 0.002*x₂²

A second degree equation, solving for x₂ and dismissing the value x₂ = 0

we get:

y = 0       ⇒    x₂*( 0.08 - 0.002x₂) = 0    x₂ = 0

And 0,08 - 0.002*x₂ = 0

- 0.002*x₂ = - 0.08

x₂ = 0.08/0.002

x₂ = 40 f

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3 0
3 years ago
your gym membership cost $33 per month after an initial membership fee. you paid a total of $228 after 6 months. writer an equat
grin007 [14]

Answer:

what i did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a  9-month total cost of $327

Step-by-step explanation:

cost = $33 per month + fee  

1.  c(m) = 33m + f

 33(6) + f = 228

198 + f = 228

f = $30 membership fee  

c(m) = 33m + 30

 2.  at 9 months:  33(9) + 30 = $327

hopefully this helps :)

have a nice day !!

7 0
3 years ago
What is the sum of entries a32 and b32 in A and B? (matrices)
Katyanochek1 [597]

Answer:

The correct answer is option D.  13

Step-by-step explanation:

From the figure we can see two matrices A and B

<u>To find the sum of a₃₂ and b₃₂</u>

From the given attached figure we get

a₃₂ means that the third row second column element in the matrix A

b₃₂ means that the third row second column element in the matrix B

a₃₂ = 4 and b₃₂ = 9

a₃₂ + b₃₂ = 4 + 9

 = 13

The correct answer is option D.  13

4 0
3 years ago
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saveliy_v [14]
15A- Damon earns around $320 (32 x 10)
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5 0
3 years ago
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astraxan [27]
....I am not sure if this is an answerable question XD
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