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butalik [34]
3 years ago
6

4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey's

Mathematics
2 answers:
Tomtit [17]3 years ago
8 0

Answer:

After 2 seconds

Step-by-step explanation:

Here is the screenshot of the parabola that formed from the quadratic equation.

As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.

Also as stated in the question " <em>After how many seconds will the glider reach its maximum distance from the ground?</em>" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.

Thus, the answer would be 2 seconds

tankabanditka [31]3 years ago
6 0

Answer: 120 seconds

Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.

f'(x)=(-3x^2 + 12x)'=-6x+12=0

x=2

When x is 2, the function will reach its maximum value.

f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12

The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.

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Tan x (degrees) = 31.<br> what is the value of x to the nearest 10th
Inessa05 [86]
88.2 is your answer, have a nice day
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2 years ago
A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0
3 years ago
You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random
Andrei [34K]

Answer:

19/31

Step-by-step explanation:

12+19=31

there are 19 guys names out of a total of 31 names.

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3 years ago
10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi
lisabon 2012 [21]

Answer:

0.06597

Step-by-step explanation:

Given that thirty-seven percent of the American population has blood type O+

Five Americans are tested for blood group.

Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.

Also probability of any one having this blood group = p = 0.37

So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5

Required probability

=The probability that at least four of the next five Americans tested will have blood type O+

= P(X\geq 4)\\= P(X=4)+P(x=5)\\= 5C4 (0.37)^4 (1-0.37) + 5C5 (0.37)^5\\= 0.06597

7 0
3 years ago
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