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kirza4 [7]
3 years ago
8

Determine f(3)=?????

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

f(3) = -4

Step-by-step explanation:

Draw a line parallel to the y-axis and cross point 3 on the x-axis. This line cuts the parabola at a point whose coordinates on the y-axis are f (3). This is -4.

Hope you understand.

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I still dont need points​
Papessa [141]

Answer:

thank you!

Step-by-step explanation:

have a good day! :)

7 0
3 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
What is the LEast common multiple?
belka [17]
The least common multiple (LCM) of a set of numbers is the lowest value that all of the numbers can be divided by and have a result of a whole number.

In this case, the least common multiple is 21 because 21/7=3 and 21/21=1.
4 0
3 years ago
Read 2 more answers
Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p
scZoUnD [109]

Answer:

The probability that they will teach different courses is \frac{2}{3}.

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here <em>x</em> represents the course taught by the first part-time instructor and <em>y</em> represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability that they will teach different courses as follows:

P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}

Thus, the probability that they will teach different courses is \frac{2}{3}.

3 0
2 years ago
What is 10 to the second power?
allochka39001 [22]
It would be 10x10 =100 or in other word 10 times itself. Also known as 10 with the 2 hanging over the 10.
3 0
2 years ago
Read 2 more answers
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