rycardey rycardey
  • 13-12-2018
  • Mathematics
contestada

How to write a linear function with the values f(3)=-4 f(5)=-4

Respuesta :

crisforp
crisforp crisforp
  • 13-12-2018

Answer:

A linear function: f: R ---> R, f(x) = ax + b;

f(3) = -1 <=> 3a + b = -1;

f(5) = -4 <=> 5a + b = -4;

Then, b = - 1 - 3a;

We obtain 5a + (-1-3a) = -4;

5a - 1 - 3a = -4;

2a - 1 = -4;

2a = -3;

a = -3/2;

b = - 1 + 9/2;

b = 7/2;

f(x) = (-3/2)x + 7/2;


Step-by-step explanation:


Answer Link

Otras preguntas

How does hawthorne describe the scarlett letter itself and in what different forms does it appear in the novel
A company rents storage sheds shaped like rectangular prisms. Each shed is 13 feet long, 7 feet wide, and 10 feet tall. The rental cost is $5 per cubic foot. Ho
The oldest known legal system is contained in the
Subject-auxiliary inversions not associated with questions
Why did Belgium lead Europe in adopting industrialization?
a carpenter has a wooden stick that is 84 centimeters long. she cuts of 25% from the end of the stick. then she cuts the remaining stick into 6 equal pieces. Wh
Which of the following best describes what happened at Jamestown during the winter of 1609-1610? A. Colonists survived the winter well and had adequate food su
Under which circumstance is Congress most likely to pass a bill the president has threatened to veto?
explain how the Calvin Cycle is a bridge between carbon in the atmosphere and carbon-based molecules in the food you eat
Germany became a satellite of the Soviet Union following World War II.