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Fiesta28 [93]
2 years ago
8

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab

ola.
The equation for this parabola is y = -x2 + 36.
( Graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. )
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.

Analyze the two functions. Answer the following reflection questions in complete sentences.

What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?
What are the x- and y-intercepts of the rainbow? Explain what each intercept represents.
Is the linear function you created with your table positive or negative? Explain.
What are the solutions or solution to the system of equations created? Explain what it or they represent.
Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice (remember to submit the graph).
Mathematics
1 answer:
gregori [183]2 years ago
7 0

Answer:

a

Step-by-step explanation:

You might be interested in
Solve for the given variable 7x+5y=6 for y
olga_2 [115]

Answer:

y = (6/5) - (7/5) x

Step-by-step explanation:

goal: to rearrange the equation such that it takes the form:

y = f(x) ; where f(x) is an expression in terms of x

Given:

7x+5y=6   subtract 7x from both sides

5y = 6 - 7x   (divide both sides by 5)

y = (6-7x) / 5

y = (6/5) - (7/5) x

4 0
2 years ago
QUESTION in the diagram below the following are rectangles. ACEG ;BCDJ ; JDEF and HJFG is a square AB =AH = x ;BC=5 ; HG=3 Area
White raven [17]

The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units

<h3>How to determine the area of the figures?</h3>

The area of a rectangle is:

Area = Length * Width

The area of a square is:

Area = Length * Length

From the question, the given parameters are:

AB =AH = x ;

BC=5;

HG=3

This means that the area of square HJFG is:

Area = HG * HG

Area = 3 * 3

Area = 9

<em>Note that the other areas cannot be calculated because the question is incomplete</em>

<em />

Read more about areas at:

brainly.com/question/17335144

#SPJ1

7 0
2 years ago
Will mark brainliest if get the correct answer.
Savatey [412]

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h(b_{1} + b_{2})/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

8 0
3 years ago
Please hurry with this question
Nostrana [21]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Use y = mx + b to determine the equation of a line with a slope -5, passing through the point (-2,4).
Maksim231197 [3]

Answer:

y=-5x-6

Step-by-step explanation:

Hi there!

In y=mx+b, m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into y=mx+b:

y=-5x+b

Now, to solve for b, plug in the given point (-2,4):

4=-5(-2)+b\\4=10+b

Subtract 10 from both sides to isolate b:

4-10=10+b-10\\-6=b

Therefore, the y-intercept of this line is -6. Plug this back into y=-5x+b as b:

y=-5x-6

I hope this helps!

4 0
3 years ago
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