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Scrat [10]
3 years ago
5

The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(

x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

15x^2 - 9x - 42

Step-by-step explanation:

(3x+6)(5x+7)

15x^2 +21x - 30x -42

15x^2 - 9x - 42

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5
natulia [17]

Answer:

1648

Step-by-step explanation:

5/9 are girls. The 9 represents the total.

Set up a proportion and you have

5/9 = ?/3708

3708/9=412

412x5= 2060 girls

3708-2060= 1648

8 0
3 years ago
Read 2 more answers
Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's b
mafiozo [28]

Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.

You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.

tan (30) = y / 440

y = 440 * tan (30) = 254.034...

tan (38.8) = z / 440

y = 440 * tan (38.8) = 353.769.--

353.8 - 254.0 = 99.8 = 100 feet.

Step-by-step explanation:

7 0
2 years ago
Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
sergeinik [125]
First we need to find where the 2 graphs intercept.

x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0 
2x(x - 2)

x = 0 , 2. are x coordinates  of the 2 intercepts.

6 0
3 years ago
Given the functions =−12 (2)x+3. Select all statements that are true.
Natali5045456 [20]
There ya go, the graphing

8 0
3 years ago
Please help me solve this! 20 points.
ohaa [14]

Answer:

Step-by-step explanation: 8*2x, 8*-14+13=4x-27

16x-112+13=4x-27

16x-99=4x-27

-4x        -4x

12x-99=-27

     +99   +99

12x = 72

/12     /12

x=6

8 0
3 years ago
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