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geniusboy [140]
3 years ago
5

(Please Answer Quickly)

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0
For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"<span>Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
</span>y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    
<span>

"</span><span>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?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6</span>≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
y=a x^{2} +b
Depending on sign of x^{2} the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"<span>What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-</span>x^{2}+36
x^{2} =36 \\  x_{1} =-6 \\  x_{2} =6

"<span>Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x </span>∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

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AveGali [126]

Answer:the image is not noticeable

Step-by-step explanation:

8 0
3 years ago
X²+x=0<br> x³-25x=0<br> x²=4x<br> 4x²-4x=1
-BARSIC- [3]

Answer:

x²+ x = 0

x ( x +1 ) = 0

x = -1

x³-25x=0

x ( x² - 25 ) = 0

x² = 25

x = 5

x²=4x

x² - 4x = 0

x ( x- 4 ) = 0

x = 4

4x²-4x=1

4x²-4x - 1 = 0

4 x² - 2x - 2x - 1 = 0

2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0

2x- 1 ) ² = 0

2x = 1

x = 1/ 2

mark me as brainliest

7 0
3 years ago
Look at the figure below: What is the length, in units, of segment CD? 8 9 6.25 7.25
Romashka-Z-Leto [24]

Answer:

The answer is 9

Step-by-step explanation:

7 0
3 years ago
SOMEONE PLEASE HELPPPP MEEEEE IDK THIS PLEASEEE ASAP
Sav [38]

Answer:

c.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Researchers wanted to see which species of lizard (A, B, or C) is most likely to survive a bacterial infection. So they infected
Slav-nsk [51]

Answer:

A) attached below

B) 0.61

C) 0.47

Step-by-step explanation:

Given data:

Total number of lizards infected = 38

Of the 15 species B lizards 40% survived

For specie C one more survived than died

Out of the 24 lizards that died 1/3 were species A

<u>A) contingency table </u>

attached below

<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>

P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61

<u>C) determine the probability that specie C lizard did not study </u>

P ( not surviving  | C ) = 7 / 15 = 0.466 ≈ 0.47

7 0
2 years ago
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