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raketka [301]
3 years ago
12

Which of the following are equal to 25 miles per gallon? Check all that apply

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0
Can’t see answer choices
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The height of a punted football can be modeled with the quadratic function 0.01x^2 + 1.18x+2.
Fantom [35]

The function of the path of the punted ball is a quadratic function which

follows the path of a parabola.

The correct responses are;

Part A: The coordinates of the vertex is \underline {(59, \, 36.81)}

Part B: The maximum height of the punt is <u>36.81 ft.</u>

Part C: The defensive player must reach up to <u>7.65 feet</u> to block the punt.

Part D: The distance down the field the ball will go without being blocked is approximately <u>119.67 ft.</u>

<u />

Reasons:

The function for the height of the punted ball is; h = -0.01·x² + 1.18·x + 2

Assumption; The distances are feet.

Part A: By completing the square, we have;

f(x) = -0.01·x² + 1.18·x + 2

100·f(x) = -x² + 118·x  + 200

-100·f(x) = x² - 118·x  - 200

x² - 118·x + (118/2)²= 200 + (118/2)²

(x - 59)² = 200 + (59)² = 3681

(x - 59)² - 3681

At the vertex, -3281 = -100·f(x)

∴ f(x) at the vertex = -3681/-100 = 36.81

\mathrm{\underline{Coordinate \ of \ the \ vertex = (59, \, 36.81)}}

Part B: The maximum height is given by the y-value at the vertex = 36.81 ft.

Part C: When <em>x</em> = 5, we have;

h = -0.01·x² + 1.18·x + 2

h = -0.01 × 5² + 1.18 × 5 + 2 = 7.65

The defensive player must reach up to 7.65 feet to block the punt

Part D: The distance the ball will go before it hits the ground is given by

the function, for the height as follows;

h = -0.01·x² + 1.18·x + 2 = 0

From the completing the square method, above, we get;

-0.01·x² + 1.18·x + 2 = 0

x² - 118·x  - 200 = 0

x² - 118·x + (118/2)²= 200 + (118/2)²

x² - 118·x + (59)²= 200 + (59)² = 3681

(x - 59)² = 3681

x - 59 = ±√3681

x = 59 ± √3681

x = 59 + √3681 ≈ 119.67

The distance down the field the ball will go without being blocked, x ≈ <u>119.67 ft.</u>

<u />

Learn more here:

brainly.com/question/24136952

5 0
3 years ago
Estimate the value 9.03 + 19.87 x 3.11 - 4.97
Nuetrik [128]

Answer:

-53.754

Step-by-step explanation:

<u>step 1:</u>

9.03 + 19.87 = 28.9

<u>step 2:</u>

3.11 - 4.97 = -1.86

<u>step 3:</u>

28.9 x -1.86 = -53.754

3 0
2 years ago
PLS HELP I NEED THIS SHSAT MATH QUESTION!!!
dexar [7]
The answer to the question is B
3 0
2 years ago
Read 2 more answers
Aiden wants to find the mass of a bowling ball what unit of measurement would he use
notka56 [123]
If he's using Metric Units of Mass it would be Kilograms, but if he's using Metric Units of Capacity it would be decimeters.
5 0
3 years ago
Enter the equation of the line in slope-intercept form.
Bad White [126]

Answer:

The equation is;

y = x/2

Step-by-step explanation:

General form of the equation of a straight line is;

y = mx + c

where m slope

For the given equation , the slope is -2

If two lines are perpendicular, then the product of their slopes is -1

So the slope of the second line will be

-2 * m2 = -1

m2 = -1/-2

m2 = 1/2

Using the point-slope form, we have

y-y1 = m(x-x1)

Here (x1,y1) = (0,0)

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

y = 1/2x or simply

y = x/2

8 0
3 years ago
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