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3 years ago

Tell whether the relation is a function. Explain

Mathematics

1 answer:

stira [4]3 years ago

4 0

This relationship is a function because each input has its own output is that makes sense

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What is the equation of the line that passes through the point (3,6) and has a slope of -1/3

Mnenie [13.5K]

$\Large\texttt{Answer\::}$

Please consult the "Calculations" section of this ans .

$\Large\texttt{Calculations\::}$

The information we're given is below :

slope : -1/3
Point crossed by the line : (3, 6)

As per given information , we can do the following :

Write the line's equation in point slope form

Point - slope form looks like so :

y-y₁=m(x-x₁)

y-6=-1/3(x-3)

y-6=-1/3x+1

y=-1/3x+1+7

y=-1/3x+6

↑ $\small\textsc{EQUATION OF THE LINE}$

$\small\textit{hope\:helpful~}$

4 0

2 years ago

The slope of the line containing the points (-2,3) and (-3,1) is

Irina18 [472]

To calculate the slope containing two points, we can use that formula:

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}$

"m" represents the slope and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}$

The answer is 2 uc.

5 0

2 years ago

-3(3+x)+4(x-6)=-4 Please help me with this question

dsp73

Answer:

$\boxed{ \bold{ \huge{ \sf{x = 29}}}}$

Step-by-step explanation:

$\sf{ - 3(3 + x) + 4(x - 6) = - 4 }$

Distribute -3 through the parentheses

Similarly, Distribute 4 through the parentheses

⇒ $\sf{ - 9 - 3x + 4x - 24 = - 4}$

Collect like terms

⇒ $\sf{x - 9 - 24 = - 4}$

Calculate

⇒ $\sf{x - 33 = - 4}$

Move 33 to right hand side and change it's sign

⇒ $\sf{x = - 4 + 33}$

Calculate

⇒ $\sf{x = 29}$

Hope I helped!

Best regards!!

7 0

3 years ago

Which is the value of g(5) if g(x)=3.4x-8

Nastasia [14]

I do believe that the answer is 9.<span />

5 0

3 years ago

Read 2 more answers

If F(x)=3x-2/6 which of the following is the inverse of F(x)?

lana66690 [7]

Answer:

Step-by-step explanation:

I'm seeing that f(x) is

$\frac{3x-2}{6}$

What you do to find an inverse is switch the x and y coordinates and then solve for the new y. Switching the x and y gives us:

$x=\frac{3y-2}{6}$

Now we have to solve for the new y. Begin by muliplying both sides by 6 to get:

6x = 3y - 2 and

6x + 2 = 3y so

2x + 2/3 = y

To put it back into function notation:

$f^{-1}(x)=2x+\frac{2}{3}$

6 0

3 years ago