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diamong [38]
4 years ago
13

The area of a rectangular pool is given by the trinomial 2y2 + 5y – 42. What are the possible dimensions of the pool? Use factor

ing.
A. 2y + 7 and y – 6
B. 2y – 2 and y + 6
C. –2y – 7 and –y – 6
D. 2y – 7 and y + 6
Mathematics
1 answer:
arsen [322]4 years ago
3 0

Answer:

D is your answer

Step-by-step explanation:

(2y-7) (y+6) that is my answer and it matches with D promise 100%

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30 cm

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I am confused with this question. Can you help me?
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In point-slope form, the equation of the line is
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)

You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
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5 0
3 years ago
The total cost (in dollars) of producing x food processors is C(x) = 2500 + 50x -0.28.
Darya [45]

Answer:

The exact cost of producing the 21st food processor is $38.52.

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

Step-by-step explanation:

Consider the provided function.

C(x) = 2500 + 50x -0.28x^2

(A) Find the exact cost of producing the 21st food processor

The exact cost producing 21st food processor is C(21)-C(20)

Substitute x=21 in above function.

C(x) = 2500 + 50(21) -0.28(21)^2

C(x) = 2500 +1050 -123.48

C(x) = 3426.52

Substitute x=20 in above function.

C(x) = 2500 + 50(20) -0.28(20)^2

C(x) = 2500 +1000-112

C(x) = 3388

The exact cost producing is:

C(21)-C(20)=3426.52-3388=38.52

Hence, the exact cost of producing the 21st food processor is $38.52.

Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,

To find the marginal cost first differentiate the function with respect to x.

C(x) = 2500 + 50x -0.28x^2

C'(x) =50-0.56x

Now substitute x=21 in above function.

C'(x) =50-0.56(21)

C'(x) =50-11.76

C'(x) =38.24

The marginal cost to approximate the cost of producing the 21st food processor is $38.24

5 0
3 years ago
4.
Rufina [12.5K]

Answer:  Graph D (bottom right corner)

======================================================

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

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3 years ago
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