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Basile [38]
2 years ago
12

If two segments from the same exterior point are tangent to the circle then the two segment are congruent

Mathematics
1 answer:
Dimas [21]2 years ago
3 0
This seems like a true or false question this question is true because they haven't changed in length or size at all
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Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p
Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0
2 years ago
I don’t understand can someone please explain how to work this out and what the answer is
joja [24]

When you see an equation with parenthesis around it, you can use this:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Otherwise known as PEMDAS.

We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:

-2x^2 - 10x + 8

See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:

+ and + always equals +.

- and - always equals +.

- and + always equals -.

+ and - always equals -.

So that's it! Just to be clear, the answer is:

-2x^2 - 10x + 8

Hope I helped, sorry if I'm wrong!

`Mschmindy

4 0
3 years ago
A fair number cube is rolled. What are the odds in favor of rolling a 3?
mr_godi [17]
If theres 6 sides (like as dice) then its 1 in a 6 chance you'll get a 3 :) 1% chance you'll get a three with a six sided dice. 
8 0
3 years ago
Solve for x. mx2 + y e = b
m_a_m_a [10]
X=(b/2m)*y-e is the answer I believe.
7 0
2 years ago
Read 2 more answers
Parallelogram efgh has been reflected across the x axis and then rotated 180 degrees around the origin. which of the following t
Brilliant_brown [7]
You are correct, it would be a reflection across the y-axis. I am great at visualizing but for those who are not (Not saying you) all they have to do is cut out a parallelogram and mimic the movements.

6 0
3 years ago
Read 2 more answers
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