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S_A_V [24]
3 years ago
15

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown. Based on the graph, how many real number solutions does the equation x3 + 6x2 +

12x + 8 = 0 have?

Mathematics
2 answers:
lianna [129]3 years ago
5 0
SEE ATTACHED IMAGE TO OBSERVE THE GRAPH OF THE FUNCTION.
 For this case, the first thing we should see are the cut points with the x axis.
 We note that the graph cuts to the x-axis at x = -2
 Therefore, x = -2 is the real solution to the polynomial.
 Also this function:
 x3 + 6x2 + 12x + 8
 It can be rewritten as:
 (x + 2) ^ 3
 From where we conclude that its roots are:
 x = -2 (with multiplicity 3)
 Answer:
 
the equation x3 + 6x2 + 12x + 8 = 0 have:
 
x = -2
 
As a real solution with multiplicity 3.

Marianna [84]3 years ago
5 0
You didn't show the graph.
Anyway, that equation is a perfect cube and equals
(x +2)^3
or (x +) * (x +) * (x +)
Therefore, it has 3 real number solutions and ALL of those solutions equal -2
 

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andrew-mc [135]

Answer:

y = - 4.4

Step-by-step explanation:

from the question

y = -6.6

x = 9.9

y∝ x

y = kx ..... where k is introduced as a constant of proportionality

solve for k

y=-6.6 and x = 9.9

we have,

-6.6 = k × 9.9

-6.6 = 9.9k

divide both sides by 9.9

-6.6/ 9.9 = 9.9k/9.9

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therefore k = - 0.667

now, find y when x = 6.6

from the equation y = kx

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y = - 4.4

3 0
3 years ago
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You are doing a mark-recapture experiment to determine the population size of the MendAliens living on an island in my back yard
Nikitich [7]

Answer:

E

Step-by-step explanation:

When you perform an experiment on a population, the majority of the time, you cannot use the entire population, so instead you use a sample of that population.

In this case, you mark 130 MendAliens out of an unknown population. After that you capture 90, and see that 20 are marked. You can use this to assume that for every 90 MendAliens, you marked 20, so if you calculate that as a percentage, you would get 22.22%.

This means that you marked approximately 22% of the population, when you marked those 130 MendAliens. Using basic math, we can work backwards to calculate the total population.

Percentage (%) = Sample / Total

Inserting the values we know...

22.22% = 130 / Total

Rearranging the formula, we get...

Total = 130 / 22.22%

Since we know 22.22% is actually equal to (22.22 / 100)= 0.2222

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4 0
3 years ago
Explain why 6:4 and 18:8 are not equivalent ratios
zavuch27 [327]

They are not equivalent because:

<em>6*3=18 </em>

but...

<em>4*3=12 <- </em>The ratio says "8" not "12"

If you don't get it just say and I'll explain it further. :)

Have an awesome day!

~Mschmindy



7 0
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The tangent of a 45 degree angle is
geniusboy [140]
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3 years ago
Graph the function f( x ) = |x+2| - 3
stepladder [879]

Answer:

Find the attached

Step-by-step explanation:

To graph the given function, we would need to obtain pairs of points (x, f(x)). We can let x be;

-5, -4, -3, 3, 4, 5

we simply substitute each value of x in the given function to obtain the value of the function corresponding to the given x value;

when x = -5, f(-5) =  |-5+2| - 3 = 0

when x = -4, f(-4) =  |-4+2| - 3 = -1

when x = -3, f(-3) =  |-3+2| - 3 = -2

when x = 3, f(3) =  |3+2| - 3 = 2

when x = 4, f(4) =  |4+2| - 3 = 3

when x = 5, f(5) =  |5+2| - 3 = 4

The graph of the function is as shown in the attachment below.

8 0
3 years ago
Read 2 more answers
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