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Juli2301 [7.4K]
3 years ago
13

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

used to determine the height of the ball depending on its distance from the goalie, x.
How do the mathematical domain and reasonable domain compare?

mathematical: 0 < x < ∞
reasonable: 0 ≤ x ≤ 25
mathematical: 0 < x < ∞
reasonable: 0 ≤ x ≤ 52
mathematical: −∞ < x < ∞
reasonable: 0 ≤ x ≤ 25
mathematical: −∞ < x < ∞
reasonable: 0 ≤ x ≤ 52

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

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I need to know how to get the roots for example what is the root of 2 root 5
Harrizon [31]

Answer:

Square roots are when you multiply the same number by itself like for example, the square root of 5 is 25, because 5*5=25

Step-by-step explanation:

5 0
2 years ago
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you
attashe74 [19]
The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar. 
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1  ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24
8 0
3 years ago
six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the pr
Dafna1 [17]
Given:
6 girls
4 boys

Probability of 1 girl being chosen: 1/6
Probability of 1 boy being chosen: 1/4
Probability of another boy being chosen: 1/3

1/6 = 0.17 x 100% = 17%
1/4 = 0.25 x 100% = 25%
1/3 = 0.33 x 100% = 33%

17% + 25% + 33% = 75%

The probability that exactly one girl and two boys will receive awards is 75%.
7 0
3 years ago
Read 2 more answers
PLZ I REALLY NEED HELP/ i'll give brainlist and 100 points PLZZZZZ
andrew11 [14]

Answer:

Question 1: Answer would be A.

Question 2: Answer would be B.

Question 3: I cannot answer this one because an image is not provided. I do not have the image of the original triangle LMN. If you message me with a photo of this question, I will be able to answer.

Question 4: This answer may be wrong, but I believe that it would be A. I don't know how to calculate dilation transformations, but after graphing out all the points, I found that (6,4) would be the correct point because the distance between Point S and (6,4) is even and is able to be divided by two.

Question 5: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 6: Answer would be C.

Question 7: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 8: Answer would be C.

Step-by-step explanation:

Question 1 Explanation: Answer would be A because the quadrilateral was rotated 180 degrees and dilated to be larger.

Question 2 Explanation: Quadrant IV is on the bottom right, Quadrant I is on the top right. If a triangle were to be rotated from the origin (0,0), it would have to rotate 270 degrees in order to reach Quadrant I.

Question 3 Explanation:

Question 4 Explanation:

Question 5 Explanation:

Question 6 Explanation: Using a rotation calculator, I input the degree of rotation as -90.

Question 7 Explanation:

Question 8 Explanation: Using a rotation calculator, I input the degree of rotation as -180.

7 0
3 years ago
I need help i dont understand this
Ad libitum [116K]

The answer is B)x+y=y+x.

This is just changing the order of the numbers to get the same equation....\

So for example if I have 2+7 and I use the property of addition It would give me 2+7=7+2.

Pls mark brainliest if this helped!

7 0
3 years ago
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