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Virty [35]
3 years ago
15

F(x)=x^2+8x+15/2x^2+11x+5

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

Step-by-step explanation:

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Which expression represents the number
frozen [14]

Answer:

8 + i

Step-by-step explanation:

What you need to simplify this is the following "definitions" of i to different powers.

i^1=i

i^2=-1

i^3=i^2*i=-1*i=-i

i^4=1

Now we can sub these in for the various powers of i in our expression:

6(1)+6(-i)-2(-1)+\sqrt{-1*49}

Simplifying a bit:

6-6i+2+\sqrt{i^2*49}

Since we know that the square root of i-squared is i, and that the square root of 49 is 7, we can get rid of the radial sign as follows:

6 - 6i + 2 + 7i

And the final answer, in a + bi form, is

8 + i

7 0
3 years ago
Consider this function for cell duplication where the cells duplicate every minute.
astraxan [27]

Answer:

  A)  The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute

Step-by-step explanation:

When x=0 (no minutes have elapsed), the value of the function is ...

  f(0) = 75(2^0) = 75(1) = 75 . . . . the initial number of cells

As x increases by 1 (minute), the number of cells is multiplied by 2, so the 2 is the multiplier each minute. It indicates the number doubles. ("double" = "multiply by 2")

x is not defined, but for the function to make any sense, it must represent elapsed minutes.

3 0
2 years ago
Your weekly base salary is $150. You earn $20 for each phone you taht you sell. The company policy is that as a part-time employ
Eduardwww [97]

Answer:

You can sell at least 40 phones each week.

Step-by-step explanation:

Given that:

Weekly base salary = $150

Earning on each phone = $20

Maximum amount that can be earned each week = $950

Let,

m be the number of phones.

20m + 150 ≤ 950

20m ≤ 950 - 150

20m ≤ 800

Dividing both sides by 20

\frac{20m}{20}\leq \frac{800}{20}

m ≤ 40

Hence,

You can sell at least 40 phones each week.

6 0
3 years ago
This rational expression is nonequivalent. 5x / 25x^4 ; x^3 / 5x^14
Harlamova29_29 [7]
Hello : 
<span>5x / 25x^4 = 5/x^3
</span><span>x^3 / 5x^14 = 1/5x^11</span>
3 0
2 years ago
See attachment for the full question
alexandr402 [8]

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

<h3>How to find the inverse of a function?</h3>

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; brainly.com/question/13948067

#SPJ1

3 0
1 year ago
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