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777dan777 [17]
3 years ago
10

Write a function with a zero of 1/2. Explain your andwer

Mathematics
2 answers:
balu736 [363]3 years ago
8 0

Answer:

f(x) = x-1/2.

Step-by-step explanation:

A number n is a zero of a function if f(n)=0. In this case, if I operate 1/2 with its additive inverse we obtain zero. So, as 1/2-1/2=0 the easiest function with 1/2 as a zero will be f(x)= x-1/2. Indeed, f(1/2)=1/2-1/2=0.

elena-s [515]3 years ago
5 0
A function with a zero in a is,

f(x)=x-a

So,


f(x)=x-1/2
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3 years ago
GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
Tresset [83]

Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

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3 years ago
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