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IgorC [24]
3 years ago
5

the change in water vapor in a cloud is modeled by a polynomial function, c (x). describe how to find the x - intercepts of c (x

) and how to construct a rough graph of c (x) so that that the meteorologist can predict when there will be no change in water vapor. you may create a sample polynomial to be used in your explanation.

Mathematics
2 answers:
lukranit [14]3 years ago
8 0

The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.

Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.

Let the polynomial function be c(x) = x ² -7x + 10

To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:

x ² -7x + 10 = 0

Factorizing the middle term, we get:

x ² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) =0

(x - 2)(x - 5)=0

x - 2 = 0 ⇒ x=2

x - 5 = 0 ⇒ x=5

Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.

Levart [38]3 years ago
3 0
Let the polynomial be:
c(x) = x² - 5x + 6
The x-intercepts, 2 and 3, represent the points where there will be no water vapor in the clouds. Using the x intercepts and the vertex of the equation, we can plot a graph to see how the water vapor changes.
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Butoxors [25]

Answer:

tăng lên 5.000 nghìn đồng

Step-by-step explanation:

mỗi chuyến bay có 0.5% hành khách mất hành lí

mỗi người đòi bồi thường 1.000.000 đồng

do đó vẽ mỗi người tăng lên :0.5%×1.000.000=5.000

5 0
3 years ago
F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find<br> FG
mezya [45]

Answer:

FG = 10

Step-by-step explanation:

EF = x + 2 ; FG = 2x - 6

F is the mid-point of EG. So, EF = FG

=  > x + 2 = 2x - 6

=  > 2x - x = 6 + 2

=  > x = 8

FG = 2×8 - 6 = 10

8 0
2 years ago
What is the area, in square inches, of this trapezoid?
Kisachek [45]

Answer:

60

Step-by-step explanation:

Area = ((a+b)/2)h=((7+13)/2)*6=60

7 0
2 years ago
The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meter
Mariulka [41]
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP  ; height * perimeter
     = 3m * (6 + 8 + 10)
     = 3m * 24
LA = 72 m² 

Surface Area Formula:
SA = 2B + hP       : B = area of the base  = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²

6 0
3 years ago
Which of the following is equivalent to the complex number i^5
ELEN [110]

Answer:

i

Step-by-step explanation:

i = \sqrt{-1} ⇒ i² = (\sqrt{-1} )² = - 1 , then

i^{5}

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i

5 0
1 year ago
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