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ira [324]
3 years ago
14

Graph the function f(x) = x3 – 10x2 + 28x – 24 Then, write a

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

- Cubic Function | 3-degree

- Domain & Range | Domain and Range both are all set of Real Numbers.

- End Behavior | When x approaches positive infinity, f(x) approaches positive infinity as well. When x approaches negative infinity, f(x) approaches negative infinity too.

- Intervals of Increasing/Decreasing | Increases at (-∞, 2) U (6,∞) and Decreases at (2,14/3) aka 2 < x < 14/3

- Intervals of Positive/Negative

Positive when x > 6 or (6,+∞)

Negative when 2 < x < 6 and x < 2 or (2,6) U (-∞,2)

- Turning Points are (2,0) and (14/3, -256/27)

- Zeros and Multiplicity | Factoring the polynomial as we get (x-2)(x-2)(x-6). Therefore, the zeros are multiplication of 2 and 6.

Multiplicity will affect the graph for x-axis. When the multiplicity kicks in, the graph will turn either decreasing on increasing on x-axis immediately.

<em>Also I was plotting the graph so It might take too long. </em>

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Lee has $200 to spend on shirts at $22 each and pants $38 each. what inequality represents the possible number of shirts and pan
abruzzese [7]

The inequality that models the given situation will be y*$22 + x*$38 ≤ $220 And some solutions are (1, 1), (1, 2), (2, 2).

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To find the inequality, we need to define the variables that we will use, the variables are:

x = number of pants bought.

y = number of shirts bought.

Then Knowing the price of each individual item, the total cost will be given by:

C = y $22 + x $38

And Lee has $220 to spend, thus the maximum amount that he can spend is $220, we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions we just need to find some values of x and y that make the inequality true, i.e , one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

Therefore, This is true, so (1, 1) is a solution.

Hence Another solutions are (2, 2), (1, 2), (0, 3), etc.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ1

8 0
2 years ago
Read 2 more answers
HELP! <br> The sum of a number n and 4 is 10. What is the value of the sum of n and -1 ?
Mumz [18]

Answer:

5

Step-by-step explanation:

n+4=10

n=10-4

n=6

n-1 =? substitute n=6 into the equation

n=5

hope I helped

3 0
4 years ago
Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give
levacccp [35]

Answer:

117

Step-by-step explanation:

216/3=72

216-72=144

144-26=117

7 0
3 years ago
Read 2 more answers
What is the area of triangle UVW if the area of triangle RST is 36 cm and the scale
weeeeeb [17]

Answer:

  225 cm²

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

  area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²

6 0
3 years ago
Vertical angles are non-adjacent angles.<br><br>True or False
Harrizon [31]

The correct answer would be True

7 0
3 years ago
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