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jasenka [17]
3 years ago
14

Solve the equation x = $rrº for r.

Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer:

32 $

Step-by-step explanation:

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6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
Find the value of X<br>x=​
Wewaii [24]

Answer:

x = 135°

Step-by-step explanation:

6 sided polygon = hexagon

The sum of the interior angles of a hexagon = 720°

⇒ 4x + 90 + 90 = 720

⇒ 4x = 720 - 90 - 90

⇒ 4x = 540

⇒ x = 540 ÷ 4

⇒ x = 135°

4 0
2 years ago
I need help ASAP on this algebra question
Misha Larkins [42]

Answer:

As x goes to negative infinity, g(x) goes to zero.

As x goes to positive infinity, g(x) goes to zero.

(So the answer is the second option)

Step-by-step explanation:

We have the function g(x)=\frac{1}{x^2}

First, let's look at what happens when we input smaller and smaller numbers

g(-10)=\frac{1}{100} \\\\g(-100)=\frac{1}{10000}

As we can see, as we input smaller and smaller numbers, the answer gets smaller.

Eventually, these fractions will be so small that they will get closer and closer to zero.

This same thing applies to larger and larger numbers, so the end behavior of each side will both be zero.

4 0
2 years ago
The Ross family had 100 relatives at their big Thanksgiving dinner of all the guest nine he had French heritage 80 had English h
il63 [147K]
Hi, Deedee. I am quite confused with the numbers that you've given because they don't add up to 100. Nevertheless, if by 'this', you mean the Thanksgiving culture, then you would just count the English and the Native American heritage. This is because the first Thanksgiving dinner was shared between the English colonists and the Native American tribes.

I hope I was able to help you in a way. Have a good day.
8 0
2 years ago
HELP PLEASE AFTER THIS ILL BE DONE AND I CAN TURN IN M WORK
arsen [322]

Answer:

A, C, E for the first one; B, C, E for the second one; B and E for the last one

Step-by-step explanation:

5 0
2 years ago
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