1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
3 years ago
14

Simplify the expression.

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0
The answer is the A. I hope this helps!
You might be interested in
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
Which could be the area of a face of the rectangular prism? A rectangular prism with a length of 3 meters, width of 4 meters, an
blagie [28]

Answer:

6m²

Step-by-step explanation:

Because the question asks for the area of a face but it doesn't indicate which face then it can be any of the faces.

2m x 3m = 6m²

2m x 4m = 8m²

3m x 4m = 12m²

In your case one of the possible answers is 6m² - so that is the one they are looking for.

5 0
3 years ago
Rewrite 37/7 as a mixed number.
erica [24]
5 2/7 is the answer.

37÷7= 5 remainder 2. Then it will be 5 2/7. 
6 0
3 years ago
Read 2 more answers
Given that set A={1,2,3,4,5}and set B={2,4,6,8} AnB'​
Liono4ka [1.6K]

Step-by-step explanation:

First u hv to understand what is asked. Here, u have to find the intersecting numbers from the set A and not included in set B. Thus, u know except foe 2,4,6,8, othher numbers are not in set B. Set A is included 1,2,3,4,5. In this way u can simply find AnB' as AnB'={1,3,5}

8 0
3 years ago
Gridded Response A basketball team scored 8 points more in its second game
Novay_Z [31]

Answer:

51 points

Step-by-step explanation:

x+x+8+42>150

2x+50>150

2x>100

x>50

So, the least number is 51 which satisfies the inequality

Hope this helps plz hit the crown :D

7 0
3 years ago
Other questions:
  • If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.
    10·1 answer
  • I WILL MAKe yoU BRAINLIEST I NEED HELP ASAP!!!
    9·2 answers
  • 7. Which equation below represents a vertical line? y = x – 0 y = x + 0 y = 4 x = 4
    12·1 answer
  • Write the linear equation in slope intercept form
    8·2 answers
  • A secretary is making an inventory of office supplies. She finds 12 full boxes of blue pens which have 45 pens in each box. How
    11·2 answers
  • Trish is ordering t-shirts from a website that charges a certain amount per t-shirt plus a flat rate for shipping. The cost for
    11·1 answer
  • Geometry question. please help ​
    14·1 answer
  • Expression
    12·1 answer
  • PLEASE HELP
    10·1 answer
  • Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the nu
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!