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
zavuch27 [327]
3 years ago
11

If f(x) varies directly with x, and f(x) = 12 when x = 8, write the direct linear variation equation.

Mathematics
1 answer:
Feliz [49]3 years ago
4 0
<span>f(x) varies directly with x.
f(x) = kx (k is the constant of proportionality)
if x = 8,
12 = 8 k
k = 12/8
k = 3/2
So the equation would be: 
f(x) = (3/2)x
</span><span>
</span>
You might be interested in
Give two points with integer coordinates that have a slope of 10/7 between them
Fittoniya [83]

Answer:

(0,0) and (7,10)

Step-by-step explanation:

recall that the slope - intercept  form of a linear equation can be given as

y = mx + b

where m = slope and b = y intercept

in our case, we are given that slope, m = 10/7, hence our equation becomes

y = (10/7) x + b

since we are not given any information about the y-intercept, we can simply pick a value for b that is most convenient for us.

We pick b = 0, hence the equation simplifies to:

y = (10/7) x  ----- eq 1

we can see immediately that if x = 0, y must also = 0

proof if x = 0:

y = (10/7)(0) =0

since 0 is an integer, then (0,0) must be the first point.

we can also observe that for y to be an integer, we must get rid of the denominator 7. We can do this by multiply the right side by 7. Hence we let x = 7:

y = (10/7) x 7

y = 10

hence (7,10) is the second point.

7 0
4 years ago
What is the domain of the function graphed?
tekilochka [14]

Answer:

I think is c

Step-by-step explanation:

3 0
3 years ago
If 10 percent of x is 20 what is 23 percent of x
Zarrin [17]
X = 200 because when finding 10% of s number we divide the number to 10. then you find 23 percent of 200. which is 46, because percentages are found out of 100 and 200 is 100 multiplied by 2. So we have to multiply 23 by 2. the answer is 46.
6 0
3 years ago
Given f(x) = 9x - 10, find f(8) *
Rama09 [41]

Answer:

\huge\boxed{f(8) = 62}

Step-by-step explanation:

\sf f(x) = 9x-10\\\\Put\ x = 8\\\\f(8) = 9(8) -10\\\\f(8) = 72-10\\\\f(8) = 62\\\\\rule[225]{225}{2}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
3 0
3 years ago
Read 2 more answers
Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?
pishuonlain [190]

we have

y=2x^{2} -8x+9


Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-9=2x^{2} -8x


Factor the leading coefficient

y-9=2(x^{2} -4x)


Complete the square. Remember to balance the equation by adding the same constants to each side

y-9+8=2(x^{2} -4x+4)

y-1=2(x^{2} -4x+4)


Rewrite as perfect squares

y-1=2(x-2)^{2}

y=2(x-2)^{2} +1-----> equation in vertex form


therefore


the answer is the option C

y=2(x-2)^{2} +1


3 0
3 years ago
Read 2 more answers
Other questions:
  • I am desperate and so clueless. Expertise please! Select EACH correct answer.
    9·1 answer
  • Miguel biked 14 km in the same amount of time that linda hiked 10 km. Miguel's rate was 4 km/h more than linda's. How fast did e
    15·1 answer
  • The function f(x) is represented by this table of values. x f(x) -5 35 -4 24 -3 15 -2 8 -1 3 0 0 1 -1 Match the average rates of
    5·1 answer
  • What is the average walking rate in miles per hour if the distance(miles)=0.5. And the Time (min)= 12
    5·1 answer
  • What is tan 25° to the nearest hundredth​
    9·1 answer
  • A point A is graphed at (0, 5). Complete the coordinates of a shape that can be rotated about the y-axis to create a cone. Provi
    5·1 answer
  • What is the answer to this problem?
    13·1 answer
  • The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who
    5·1 answer
  • Need help. I can’t fail this!! 7
    9·1 answer
  • Matt is going to see a hockey game. His ticket cost $25 plus he will pay $3 per food or drink item that he buys from the concess
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!