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never [62]
3 years ago
5

function P(x) = x4 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph

without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0). (10 points)

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0
4th degree, so the ends both point in same direction
positive leading coefient so both ends point up

factor it to see wheere the roots are
the roots are r1,r2,r3,r4 in P(x)=(x-r1)(x-r2)(x-r3)(x-r4)
factor
P(x)=(x-3)(x-2)(x+1)(x+3)
the roots are
3,2,-1,-3

disregard negative roots becasue you can't have negative time or something
3 or 2

see my rough graph

here is rough scetch

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The diameter of a circle is 10 cm what is the angle measure of an arc Pi centimeters long
vredina [299]
We know that

[length of a circumference]=2*pi*r
diameter=10 cm
r=10/2-----> 5 cm
[length of a circumference]=2*pi*5-----> 10*pi cm

if 360° (full circle) has a length of -----------> 10*pi cm
 X°---------------------------> pi cm
X=pi*360/10*pi------> 36°

the answer is 36°
8 0
3 years ago
I asked this earlier and got no answer. Will give brainliest
Virty [35]
The area of a square is

s • s

We can also write this as

s^2

So, for any side length “s”, we can make a function, A(s), such that

A(s) = s^2

Now that we have a quadratic equation for the area of a square, let’s go ahead and solve for the side lengths of a square with a given area. In this case, 225 in^2

225 = s^2

Therefore,

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s = 15

So, the dimensions are 15 x 15 in

6 0
3 years ago
A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
natima [27]

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

7 0
3 years ago
Ivan bought a box of macadamia nuts to bring home from his trip.
Agata [3.3K]

Answer: B. 140 cubic inches.

Step-by-step explanation:

The question is asking you to find the volume of the rectangular prism.

You can find this by using this formula:

V = w*h*l

Where w is the width, h is the height, and l is the length.

Substitute the sides of the rectangular prism into the equation:

V = 3.5 * 10 * 4\\\\V = 140

The volume of the prism is 140 cubic inches.

The correct answer is B.

4 0
3 years ago
Explain the rules for multiplication and division to convert units. How do you know when to multiply and when to divide to conve
yanalaym [24]

Answer:

To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.

Multiply to convert larger units to smaller units.

Divide to convert smaller units to larger units.

When the units are smaller, you need more of them to express the same measure.

When the units are larger, you need fewer of them to express the same measure.

9 0
3 years ago
Read 3 more answers
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