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
RideAnS [48]
3 years ago
6

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)  

then the vertex in quadratnt II is (-x,y)  

base of the rectangle = 2x  

height of the rectangle = y  

Area = xy  

= x(12 - x²)  

= -x³ + 12x  

d(area)/dx = 3x² - 12 = 0 for a maximum of area  

3x² = 12  

x² = 4  

x = ±2  

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

You might be interested in
Student price tickets to a movie are $1 and non student tickets are $2. 350 tickets are sold and the total amount made is $450.
Phoenix [80]
C.200 is the best answer
5 0
3 years ago
Read 2 more answers
Approximate the real number solution(s) to the polynomial function f(x) = x3 + 2x2 − 5x − 6.
nadya68 [22]
F(1) = (1)^3 + 2(1)^2 - 5(1) - 6 = 1 + 2 - 5 - 6 = -8; x = 1 is not a solution to the polynomial.
f(-1) = (-1)^3 + 2(-1)^2 - 5(-1) - 6 = -1 + 2 + 5 - 6 = 0; x = -1 is a solution to polynomial.
From the options, a or c has x = -1, both has x = , so lets check for x = 3
f(3) = (3)^3 + 2(3)^2 - 5(3) - 6 = 27 + 18 - 15 - 6 = 24; x = 3 is not a solution to the polynomial.
Therefore the solutions to the polynomial are x = -3, x = -1, x = 2
6 0
3 years ago
Which choice shows the best estimate of the product 0.52 x 695?
katovenus [111]

Answer:

the best estimate is 361.4 dude

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The marketing department of a nationally known cereal maker plans to conduct a national survey to find out whether or not consum
LenKa [72]

Answer:

Step-by-step explanation:

The probability that a person answered incorrectly is 4/5

P(1st answered incorrectly AND 2nd answered incorrectly AND

3rd answered incorrectly AND 4th answered incorrectly AND

5th answered incorrectly AND 6th answered incorrectly AND

7th answered incorrectly AND 8th answered incorrectly)

Since "AND" mean to multiply, the probability that none of the 8 guessed correctly is

4/5×4/5×4/5×4/5×4/5×4/5×4/5×4/5

=(4/5)^8

=0.16777216

3 0
2 years ago
What is the measure of the angles?
statuscvo [17]

Answer:

The angle is 35

Step-by-step explanation:

The angles are vertical angles, so they are equal

3x-4 = 2x+9

Subtract 2x from each side

3x-2x-4 = 2x+9-2x

x-4 = 9

Add 4 to each side

x-4+4 = 9+4

x=13

But it asked for the measure of the angle

2x+9

2(13)+9

26+9

35

5 0
3 years ago
Other questions:
  • Last time, one out of every 4 students in our class was absent. this time, after jen came back only one out of every 5 students
    6·1 answer
  • All of the following equations have the same solution except _____. A. 7.5x = 1.5 B. x/5 = 0.04 C. x + 6.5 = 6.3 D. -1.8 + x = -
    10·2 answers
  • Steven swam 200 meters in 25.7 seconds while Michelle finished in 28 seconds. How much faster did Steven swim than Michelle?
    13·1 answer
  • 5y= 3x -4 solve for y
    14·2 answers
  • PLEASEEEE HELPP MEEE WITHHH NUMBERSSS 9 AND 10<br><br> PLEASEEE HELPPP MEEEEE!!!!!!!!
    9·1 answer
  • Freemont Run Club surveyed a random sample of 30 members about their running habit. Of the members surveyed, 9 said that they ru
    15·1 answer
  • What is the equation that represents the line
    13·1 answer
  • Please help me find the area and perimeter of this composite figure.
    12·2 answers
  • 2.2x-10=0.2x +14 and -4x+5=x-5
    10·1 answer
  • What is the equation of a line that is parallel to the line<br> whose equation is y = x + 2?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!