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2 years ago

At 2 PM there were 13 seagulls on the beach. At 5 PM there were 70 seagulls. What is the constant rate of change

Mathematics

1 answer:

Olin [163]2 years ago

8 0

The answer is 57 I hope I helped

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19 of 22

professor190 [17]

B: 3(4-3n)

hope this helps

3 0

3 years ago

The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the fir

faltersainse [42]

Answer:

$5144$

$12$

Step-by-step explanation:

The function $p=x^2-24x+5000$ is incorrect as its roots are imaginary $b^2-4ac=576-4\times 5000=-19424$ .

So, the correct function is

$p=-x^2+24x+5000$

Differentiating with respect to $x$ we get

$p'=-2x+24$

Equating with zero

$0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12$

Double derivative of the function

$p''=-2$

So, the function is maximum at $x=12$

Maximum profit is

$p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144$

The maximum profit made by the company is $5144$

The number of clients required to make the maximum profit is $12$ .

7 0

3 years ago

What are the intercepts of the graph of the equation 6 x − 1 . 5 y = 18?

WITCHER [35]

For this case we have the following equation:

$6x-1.5y = 18$

We find the intersections with the axes:

Intersection with the x axis:

Making $y = 0$ we have:

$6x-1.5 (0) = 18\\6x = 18\\x = \frac {18} {6}\\x = 3$

Thus, the intersection with the x-axis is: $(3,0)$

Intersection with the y axis:

Making $x = 0$ we have:

$6 (0) -1.5y = 18\\-1.5y = 18\\y = \frac {18} {- 1.5}\\y = -12$

Thus, the intersection with the y-axis is $(0, -12)$

Answer:

The intersection with the x axis is: $(3,0)$

The intersection with the y axis is: $(0, -12)$

3 0

3 years ago

What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes lab

solmaris [256]

Answer:

Step-by-step explanation:

got it right on the test

4 0

2 years ago

Find the perimeter and area

LekaFEV [45]

Answer:

Perimeter = 156

Area = 1029

Step-by-step explanation:

Perimeter = 65 +42 49

P = 156

Area = 49*42/2

A = 1029

3 0

3 years ago

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