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marysya [2.9K]
2 years ago
8

Graph x3 + 4x2 − 9x − 36

Mathematics
1 answer:
HACTEHA [7]2 years ago
8 0

The graph is shown in the picture after finding the double pair and representing them on a coordinate plane.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) =  x³ + 4x² − 9x − 36

The above function represents the cubic polynomial.

To graph the above function first find some points or double order pair to represent on the coordinate plane.

At x = -4, x = -3, and x = 3 the function value become zero.

The points are:

(-4, 0), (-3, 0), (3, 0)

At x = -3.519, y = 1.627

At x = 0.852, y = -40.146

Thus, the graph is shown in the picture after finding the double pair and representing them on a coordinate plane.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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If a humming bird can fly in one second wich is 13 meters how many meters can it go if it flew 10 seconds?
IrinaK [193]

Answer:

130 meters

Step-by-step explanation:

just add an extra zero at the end of 13

5 0
3 years ago
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Mariabella was 1/4 of the way through her book. Twenty pages later she was 1/3 of the way through her book. When she is 3/4 of t
Alex777 [14]

Answer: 60 pages left.

Step-by-step explanation:

Let the number of pages in the book be x.

As per given, we have

\dfrac14x+20=\dfrac13x\\\\\Rightarrow\ \dfrac{1}{3}x-\dfrac14 x=20\\\\\Rightarrow\ \dfrac{4-3}{12}x=20\\\\\Rightarrow\ \dfrac1{12}x=20\\\\\Rightarrow x=20\times12\\\\\Rightarrow x=240

\dfrac34 of total book = \dfrac34\times 240=180

Pages left = 240-180

= 60

Hence, 60 pages left.

3 0
3 years ago
If p(x) = x^2-6x+5, find p(4)
lyudmila [28]

Answer:

-3

Step-by-step explanation:

p(x) = x^2-6x+5

Let x= 4

p(4) = 4^2-6(4)+5

Exponents first

       = 16 -6(4) +5

Multiply

     = 16 -24 +5

Add and subtract

    = -8+5

   = -3

7 0
3 years ago
Calculate the product below and give your answer in scientific notation.
mihalych1998 [28]

Answer:

0.02549509756

nearest hundredth: 0.03

nearest thousandth: 0.025

nearest ten-thousandth: 0.0255

Step-by-step explanation:

1.3x10^-2 = 0.013

0.013x0.05= .00065

Square root of .00065 is 0.02549509756

5 0
3 years ago
Complete parts (a) and (b) below.
jeka94

Answer:

a) The mean of the probability distribution = 0.6

b) The variance of the probability distribution = 0.3

c) The standard deviation of the probability distribution = 0.5

Step-by-step explanation:

a) Data and Calculations:

number of dogs per household in a small town

Dogs   Probability  Expected  Mean Diff    Mean Diff.

                               Value                            Squared

0          0.650           0               -0.569         0.32376

1           0.216            0.216        -0.353          0.12461

2         0.087            0.174         -0.395          0.15603

3          0.026            0.078       -0.491            0.24108

4          0.014             0.056       -0.513           0.26317

5          0.009          0.045       -0.524           0.27458

The mean =           0.569 (Sum of expected value)                          

Variance = mean of squared differences = 0.27665 (1.38323/5)

Standard deviation = square root of variance = 0.526 = 0.5

7 0
3 years ago
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