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
WARRIOR [948]
2 years ago
8

Write a linear function f with f(-4) = 2 and f(6) =-3​

Mathematics
1 answer:
Anastasy [175]2 years ago
6 0

Answer:

f(x) = - \frac{1}{2} x

Step-by-step explanation:

The standard form for a linear function is

f(x) = ax + b

Using the given values f(- 4) = 2 and f(6) = 3 , then

- 4a + b = 2 → (1)

6a + b = - 3 → (2)

Subtract (2) from (1) term by term to eliminate b

- 10a = 5 ( divide both sides by - 10 )

a = - \frac{1}{2}

Substitute a = - \frac{1}{2} into either of the 2 equations and solve for b

Substituting into (1)

2 + b = 2 ( subtract 2 from both sides )

b = 0

Thus the linear function is

f(x) = - \frac{1}{2} x

You might be interested in
Identify the value of y<br><br><br> (3y+5)=-4-8y+9+77
noname [10]

Answer:

Y=7

Step-by-step explanation:

(3y+5)= -4 -8y +9 + 77

     -5    -5            

    3y= -9 - 8y + 9 + 77

           +9          -9

    3y=  -8y + 77

    +8y    +8y

      11y = 77

      11y/11    77/11

        y = 7

1. subtract 5 from both sides

2. add -9 and +9 and you get 0

3. add 8y to both sides

4. divide both sides by 11

5. you get y=7

3 0
3 years ago
Help ASAP plz and put how to solve it
tatyana61 [14]

Answer: its 1/144

Step-by-step explanation:

3 0
3 years ago
If you take -3/10 of a number and add 1, you get 10. Write an equation to represent the situation. What is the original number?
Basile [38]
Equation - x = -3/10 + (10-1)

The original number is 9.3 because
x = -3/10 + (10-1)
x = -3/10 + 9
x = 9.3

4 0
3 years ago
A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and a
alina1380 [7]

Answer:

Step-by-step explanation:

Given that a parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of 3 per hour and at entrance II according to a Poisson distribution at an average of 2 per hour.

Assuming the number of cars arriving at the two parking lots are independent we have total number of cars arriving X is Poisson with parameter 3+2 = 5

X is Poisson with mean = 5

the probability that a total of 3 cars will arrive at the parking lot in a given hour

= P(X=3) = 0.1404

b)  the probability that less than 3 cars will arrive at the parking lot in a given hour

= P(X<3)

= P(0)+P(1)+P(2)

= 0.1247

7 0
3 years ago
Read 2 more answers
What is the domain of the function y=/x-1?<br> -o0 -1 O 0 O 15x
SCORPION-xisa [38]
The answer is -1 because I don’t really know the real answer
7 0
3 years ago
Other questions:
  • Yann and Camille go to a restaurant. If there are 10 items on the menu, and each orders one dish, how many different combination
    14·2 answers
  • Andrew has a bag with an equal number of yellow and orange jelly beans. He draws a tree diagram to show the sample space if he r
    9·1 answer
  • Write 2603094 using exponents?
    15·2 answers
  • You are a mechanic. You have been given an engine job time of 0.7 hour about how many minutes should you allow for the job
    9·1 answer
  • What’s the answer to this
    11·2 answers
  • Of the songs in Nicholas's music library, 1/2 are rock songs. Of the rock songs, 2/5 feature a guitar solo. What fraction of the
    12·1 answer
  • What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
    11·1 answer
  • What is the equation of the line perpendicular to y= 1/2x + 3 passing through the point (-3,4)?
    13·1 answer
  • 3^4+4.5= Input whole number
    10·2 answers
  • Between which two numbers does the root square 5 lie
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!