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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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3 years ago
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Annette [7]

Answer:

\left \{ {{x=3} \atop {y=-7}} \right.

Step-by-step explanation:

We can directly substitute y of the first equation to the second equation.

-2x - 1 = 3x - 16

5x = 15

x = 3

Substituting back to any of the two equations, we get y = -2(3)-1 = -7.  If you check with the second equation, y = 3(3)-16 = -7 as well.

Therefore \left \{ {{x=3} \atop {y=-7}} \right..

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3 years ago
Please tell me the function( will mark as brainiest) thanks
Alecsey [184]

Answer:

y = 8x+8

Step-by-step explanation:

We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)

Slope formula is: m = \frac{y2-y1}{x2-x1}

Plug in the 2 points: m = \frac{16-8}{1-0}

Simplify: m = 8

So now, for the equation y = mx+b, we have m which is y = 8x+b

Now we need to find b by using another point from this linear function.

We can use the point (2,24).

Plug this point into the equation y = 8x+b

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We have now found the equation of the linear function: y = 8x+8

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Answer:

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2 years ago
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yarga [219]

Answer:

m = 12h

Step-by-step explanation:

Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.

So that;

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m = $72

Bill would make $72 after working for 6 hours.

5 0
3 years ago
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