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
notka56 [123]
3 years ago
14

F(x)= 1/3 (4-x)^2 what is the value of f(16)

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer: 48

Step-by-step explanation:

1/3(4 - 16)

1/3(-12)^2 = 1/3(144) or 48

Hope that helped.

You might be interested in
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Lana71 [14]
The value of the lesser integer is -25
8 0
3 years ago
Read 2 more answers
What is the slope of (2,-12), (18,15)
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

The slope of a line given two points (x_0,y_0) and (x_1,y_1) is

m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}

7 0
3 years ago
Guys please help me with this serous question
12345 [234]

Answer:

Step-by-step explanation:

$1 times 5 equals $5

$30-$5= $25

$25 divide by each 5 friends equals $5. So your answer is $5

4 0
3 years ago
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

4 0
3 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Other questions:
  • A 6 pack of undershirts cost $13.98 . This is $3.95 more than buying 6 individual shirts. If each undershirt cost the same amoun
    6·2 answers
  • Which of the following would least likely have a negative impact on determining eligibility for a home loan?
    15·1 answer
  • Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your way home, you travel at an average r
    13·1 answer
  • G=4a - 4, for a<br> how do u solve that.
    14·1 answer
  • Hi please somebody help me
    12·1 answer
  • ^^^Can someone help ^^^
    6·1 answer
  • Cos 55°<br> 0.9735<br> True or false
    15·1 answer
  • Which function has the following characteristics?
    12·1 answer
  • ??????????????????????????????????????????????????????????/
    14·2 answers
  • Elimination method<br> x+4y=1<br> -3x-5y=-10
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!