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3 years ago

Write an equation perpendicular to the line 6x+12y=24 and passing through (4,0)

Mathematics

1 answer:

noname [10]3 years ago

6 0

Y = 2x - 8 is perpendicular to 6x+12y=24 and passes through (4,0)

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Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one

dalvyx [7]

Answer with Step-by-step explanation:

We are given that

$f(x)=\frac{3x-1}{x}$

For each real number $x\neq 0$

To prove that f is one -to-one.

Proof:Let $x_1$ and $x_2$ be any nonzero real numbers such that

$f(x_1)=f(x_2)$

By using the definition of f to rewrite the left hand side of this equation

$f(x_1)=\frac{3x_1-1}{x_1}$

Then, by using the definition of f to rewrite the right hand side of this equation of $f(x_1)=f(x_2)$

$f(x_2)=\frac{3x_2-1}{x_2}$

Equating the expression then we get

$\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}$

$3x_1x_2-x_2=3x_2x_1-x_1$

$3x_1x_2-3x_1x_2+x_1=x_2$

$x_1=x_2$

Therefore, f is one-to-one.

6 0

3 years ago

Find the domain of the rational expression: x-4/2x-6

marin [14]

Answer:

All real numbers except 3

Step-by-step explanation:

Given

$\frac{x - 4}{2x - 6}$

Required

Determine the domain

We start by writing the following inequality

$2x - 6 \neq 0$

Add 6 to both sides

$2x -6 + 6 \neq = 0 + 6$

$2x \neq 6$

Divide both sides by 2

$\frac{2x}{2}\neq \frac{6}{2}$

$x \neq \frac{6}{2}$

$x \neq = 3$

As such, the domain of x is all real numbers except 3

4 0

3 years ago

Question 12 of 41

abruzzese [7]

ANSWER: D. Icosahedron

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3 years ago

Huilan is 6 years older than Thomas. The sum of their ages is 80 . What is Thomas's age?

Yuki888 [10]

80-6= 74. 74/2=37 thomas age is 37

4 0

3 years ago

GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh

Serggg [28]

Answer:

is D i had this on my math test

Step-by-step explanation:

6 0

3 years ago

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