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3 years ago

What is the rate of change of the function described in

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

Answer:

B. 5

Step-by-step explanation:

This table does not describe a linear relationship. This is because the table does not have a constant rate of change; between the first two points, the function changes by

(1/2 - 1/10)/(0--1) = (5/10 - 1/10)/(1) = 5/10 - 1/10 = 4/10 = 2/5

Between the second two points, the function changes by

(5/2-1/2)/(1-0) = (4/2)/1 = 4/2 = 2

Comparing the first two y-coordinates, we have 1/10 and 1/2 = 5/10. This is the result of multiplication by 5.

Comparing the second two y-coordinates, we have 1/2 and 5/2. This is the result of multiplication by 5.

Comparing the rest of the y-coordinates, we can see that each time, the y-coordinate is multiplied by 5. This means the rate of change is 5.

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Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The

faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs $= 400x+1600$

Sales revenue = no of units sold * price = $x(700-5x) = 700x-5x^2$

Profit funciton = P(x) = Sales revenue - Total cost

= $700x-5x^2-400x-1600\\=300x-5x^2-1600$

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

$P'(x) = 300-10x\\p"(x) = -10$

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0

4 years ago

What is the sum of -1/2 and 8/6 a) -5/6 B) -11/6 C) 5/6 D) 11/6

Leto [7]

Answer:

d 11/6

Step-by-step explanation:

find the common denominate for -1/2 which is 3/6 make sure you remember the rule of integers adding if they have diffrent sign there gonna be postive if they have the same sign there negative look up the role it will help you a lot find the common denominator which and then add like normal if it ask for it s lowest term then find the lowest term have a good day if you have question please type in the comments if you need more help

3 0

3 years ago

A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or an 8? Round to nea

Viktor [21]

Answer: 0.476

Step-by-step explanation:

Let A = Event of choosing an even number ball.

B = Event of choosing an 8 .

Given, A lottery game has balls numbered 1 through 21.

Sample space: S= {1,2,3,4,5,6,7,8,...., 21}

n(S) = 21

Then, A= {2,4,6,8, 10,...(20)}

i.e. n(A)= 10

B= {8}

n(B) = 1

A∪B = {2,4,6,8, 10,...(20)} = A

n(A∪B)=10

Now, the probability of selecting an even numbered ball or an 8 is

$P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}$

$=\dfrac{10}{21}\approx0.476$

Hence, the required probability =0.476

7 0

3 years ago

4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are

diamong [38]

Answer:

the last one(26 by 22) not sure whether its D or E but yah

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Without calculating the answer for 5 1/5 * 2/5 be larger or smaller than 5 1/5

solniwko [45]

Answer:

Evidently, without the calculating 5 1/5 times 2/5 would be larger than 5 1/5 since you are already gonna multiply 2/5 and that would make it larger.

Hope this helps!

Branliest would be appreciated :DD

Step-by-step explanation:

4 0

3 years ago