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Natali [406]
2 years ago
12

Which of the following could represent the graph of f(x) = y3 – x2 - 6x?

Mathematics
1 answer:
professor190 [17]2 years ago
6 0

Answer: A

Step-by-step explanation:

x^{3}-x^{2}-6x=0 \\ \\ x(x^{2}-x-6)=0 \\ \\ x(x-3)(x+2)=0 \\ \\ x=-2, 0, 3

So there needs to be roots at x=-2, 0, and 3.

Also, the end behavior needs to approach infinity as x approaches infinity and negative infinity as x approaches negative infinity (since the leading coefficient is positive). This rules out the last option.

Now, we can also use the fact that the maximum number of turning points is one less than the degree, for a maximum of 2 turning points. This rules out the middle option as well.

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The cylindrical container is four-fifths full of powder. Round to the nearest tenth if necessary. a. The total capacity of the c
mezya [45]

Answer:

a. \pi r^2h

b. \frac{4\pi r^2h}{5}

Step-by-step explanation:

Volume of the container denotes its quantity. It is a three-dimensional space.

Let V denotes the volume of the container, h denotes the height of the container and r denotes the radius of the container.

a.

The total capacity of the container in terms of π is \pi r^2h<u />

b.

As the cylindrical container is four-fifths full of powder, so the volume of the powder in terms of π is \frac{4}{5}\times volume of the container i.e., \frac{4\pi r^2h}{5}

4 0
3 years ago
If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will
Tema [17]

Answer:

Hence after  3.98 sec  i.e  4 sec Object will hit the ground  .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec

To Find:

Time in seconds after which it will hit the ground?

Solution:

<em>This problem is related to projectile motion for objec</em>t

First calculate the Range for object  and it is given by ,

R=v^2Sin(2Ф)/g

Here R= range  g= acceleration due to gravity =9.8 m/sec^2

1m =3.2 feet

So 9.8 m, equals to 9.8 *3.2=31.36 ft

So g=31.36 ft/sec^2. and 2Ф=2(28)=56

R=133^2*Sin(56)/31.36

R=14664.84/31.36

R=467.62  fts

Now using Formula for time and range as

R=VxT

Vx is horizontal velocity

Vx=V*cosФ

Vx=133*cos(28)

Vx=117.43  ft/sec

So above equation becomes as ,

467.62=117.43*T

T=467.62/117.43

T=3.98 sec

T is approximately equals to 4 sec.

4 0
3 years ago
The new price of the plane ticket
katen-ka-za [31]

Answer:

159.25

Step-by-step explanation:

175 multiplied by 6% is 10.5

If you subtract 10.5 from 175 you will get 164.5

3 0
3 years ago
Read 2 more answers
P-21=34 P=34-21 P=13<br>What is the value of p?<br>​
vredina [299]

Simplifying

P + -21 + -21 = 34 + -21  

-21 + -21 + P = 34 + -21

Combine like terms: -21 + -21 = -42

-42 + P = 34 + -21

Combine like terms: 34 + -21 = 13

-42 + P = 13

Solving

-42 + P = 13

Solving for variable 'P'.

Move all terms containing P to the left, all other terms to the right.

Add '42' to each side of the equation.

-42 + 42 + P = 13 + 42

Combine like terms: -42 + 42 = 0

0 + P = 13 + 42

P = 13 + 42

Combine like terms: 13 + 42 = 55

P = 55

Simplifying

P = 55

3 0
3 years ago
F(x) = x^2. What is g(x)?
sashaice [31]

Answer:

D. just sub x = 1, and if the y you get is 5 then that's the answer

5 0
3 years ago
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