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
Over [174]
3 years ago
6

The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)

Mathematics
1 answer:
makkiz [27]3 years ago
3 0
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------

\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2
\\\\\\
\textit{we also know that }
\begin{cases}
f(x)=96\\
x=4
\end{cases}\implies 96=k(4)^2\implies 96=16k
\\\\\\
\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}
\\\\\\
\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2
You might be interested in
The teacher concluded that there is a correlation between having a computer and having a phone. Do you agree with the teacher? E
timama [110]

Answer:

yes I agree with teacher

Step-by-step explanation:

I I think this because 1 people that have a phone and a computer are the highest group and two becauseit seems that most of the class has a phone it also seems that most of the class has a computer

3 0
3 years ago
1.) The numbers 1-12 are written on a card and placed in a bag. What is the probability that a number divisible by 3 is drawn? E
Pepsi [2]

<span>1.) In numbers from 1 to 12, there are  4 numbers that are divisible by 3 (3,6,9 and 12), meaning there will be 4 possible outcomes if a number will be drawn from 12 numbers. The probability of drawing a number divisible by 3 is 4/12 or 1/3.

2.) In the movie drawer, there are 15 movies,  seven are action movies, five comedies, and three dramas. The probability of choosing an action movie is 7/15, while a comedy is 5/15. The probability of choosing an action or a comedy is higher at (7/15+5/15) or 12/15 equivalent to 4/5.
3.) Having drawn 8 black marbles and 2 white marbles from a bag of 100 marbles give a probability of 8/10 (4/5) for black marbles and 2/10 (1/5) for white marbles. If there are 100 marbles, we can predict that there are 4/5(100) equivalent to 80 marbles in the bag.</span>

<span>
4.) On a youth soccer team, three out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then the number of members who could be expected to have played the year before is 3/12 or ¼ of 180 which is 45. </span>

3 0
3 years ago
To graph the function ​f(x)​, a student translates the graph of the parent quadratic function 5 units right and 8 units down. Ca
valina [46]

Answer:

its 5

Step-by-step explanation:

4 0
3 years ago
Which is different? Find "both" answers.
Alina [70]
B & C would be your answer because 3^-3 would turn into a fraction, 1/3^3 which is the same as C.
8 0
3 years ago
BRAINLIEST PLEASE HELP!!<br> 6. Find x and the measures of the indicated parts.<br> AS
AleksandrR [38]

Answer:

D

Step-by-step explanation:

Δ CBA and Δ SAR are similar

Thus the ratios of corresponding sides are equal, that is

\frac{CB}{SA} = \frac{CA}{SR} , substituting values gives

\frac{5}{x} = \frac{10}{4} ( cross-  multiply )

10x = 20 ( divide both sides by 10 )

x = 2

Thus

AS = x = 2

6 0
3 years ago
Other questions:
  • What number is 150 more than the product of 5 and 4,892?
    10·2 answers
  • What are the first four terms of the sequence given by the formula below? <br> an= -2n + 4
    8·2 answers
  • Choose an inverse function and use SohCahToa to find angle A.
    7·1 answer
  • Ms.hernandez is taking her children and their friends to the movies. She will pay $10 for her adult tickets and $7 for each chil
    7·1 answer
  • This is is kida easy look
    5·1 answer
  • Question 4 of 5
    12·1 answer
  • Work out<br><br> 1/3 + 2/9<br><br> Give your answer in its simplest form
    6·2 answers
  • Slope for (2,-5) (1,5)​
    8·1 answer
  • Two sides of an isosceles triangle measure 3 inches and 7 inches. Which could be the length of the third side?
    7·1 answer
  • NO LINKS- True or false: in figure one points A and D determine a line.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!