kalamraf
kalamraf kalamraf
  • 03-04-2018
  • Mathematics
contestada

For f(x) = ax^2 + bx + c, if f(1) = 5 and f(-1) = 0, find the value of a + c.

Respuesta :

Аноним Аноним
  • 03-04-2018
f(x) = ax² + bx + c

f(1) = a(1)² + b(1) + c = 5
f(1) = a + b + c = 5

f(-1) = a(-1)² + b(-1) + c = 0
a - b + c = 0

So now we have:
f(1) = a + b + c = 5
f(-1) = a - b + c = 0

We add both the equations up,
f(1) + f(-1) :

2a + 2c = 5
a + c = 2.5                       // Divide by 2 through

----------------------------------------------------------------
Answer: a + c = 2.5
----------------------------------------------------------------


Answer Link

Otras preguntas

Thelma spent 1/6 of her weekly allowance on dog toys.  1/4 on a dog collar and 1/3 on dog food.  What fraction of her weekly allowance is left
What all the multiples of 81?
find the sum. write each mixed number in simplest form 4 7/8 + 5 1/4
What's 5 divided by x squared explain
A blue rope is 3 times the length as a red rope. A green rope is 5 times as log as the blue rope of the total length of all 3 ropes equals 508.25m what is the l
The inner and outer Radii of a cylindrical pipe are 5 cm and 4 cm respectively. find the area of cross section of the pipe.
What's 5 divided by x squared explain
Factor the expression. If the expression cannot be factored, say so.
Does an owl have a backbone?
What is 25% of $500.00? I think the answer is $475.00 Can someone verify if twenty five percent of 500.00 is $475.00