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
Ostrovityanka [42]
3 years ago
9

3x+2y=12 In function notation

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

f(x) = (-3/2)x + 6

Step-by-step explanation:

Let x be the independent variable and y the dependent one.

Solving 3x+2y=12 for y, we first get 2y = -3x + 12. Then

y = (-3/2)x + 6.  Replacing 'y' with 'f(x)', we have:

f(x) = (-3/2)x + 6, which is 3x+2y=12 when y is the dependent variable.

You might be interested in
I need help cos idk how to work this out❤️❤️
poizon [28]
These are your answers !
3 0
3 years ago
Read 2 more answers
cookie recipe calls for 1/4 teaspoon of vanilla extract she has 9/12 of a teaspoon in her kitchen how many batches of cookies ca
Andreas93 [3]
She can make 3

(9/12= 3/4)
7 0
3 years ago
Help me asap ill give brainlyest How many solutions can be found for the equation 4x + 5 = 10?
Andrej [43]
There would be two solutions
8 0
2 years ago
A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.
sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}

Where:

y_{o} - Initial height of the ball, measured in feet.

v_{o} - Initial speed of the ball, measured in feet per second.

g - Gravitational constant, equal to -32.174\,\frac{ft}{s^{2}}.

t - Time, measured in seconds.

Given that y_{o} = 0\,ft, v_{o} = 95\,\frac{ft}{s}, g = -32.174\,\frac{ft}{s^{2}} and y = 120\,ft, the following second-order polynomial is found:

120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}

-16.087\cdot t^{2} + 95\cdot t -120 =0

The roots of this polynomial are, respectively:

t_{1} \approx 4.075\,s and t_{2} \approx 1.831\,s.

Both roots solutions are physically reasonable, since t_{1} represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas t_{2} represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0
3 years ago
10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
Alik [6]
The answer is 8, 13, 18
4 0
3 years ago
Other questions:
  • What is the axis of symmetry for y= x^2 + 4x + 3
    13·1 answer
  • Find the pay earned? of 33 hours at $5.15 per hour
    12·1 answer
  • The first step in simplifying a rational expression is to
    9·1 answer
  • Explain why the square root of 49 has two possible solutions
    9·2 answers
  • A bird leaves its nest and flies 2 miles due north, then 3 miles due east, then 4 miles due north, and then 5 miles dues east, f
    7·2 answers
  • A consumer organization estimates that over a​ 1-year period 20​% of cars will need to be repaired​ once, 9​% will need repairs​
    7·1 answer
  • The triangle on the grid will be translated two units down. On a coordinate plane, triangle A B C has points (2, 1), (0, negativ
    6·2 answers
  • X^4-6x^2+8(Type 2 of quadratic equation)
    6·1 answer
  • Hello i need help please
    13·1 answer
  • Christine earns 41 dollars per week working part-time at a book store. s), that Christine earns She makes one dollar more for ea
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!