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3 years ago

Which best describes the function on the graph?

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

The right answer is d. inverse variation; k=2

Inverse variation means that when increasing a variable the other decreases at the same rate or vice versa. So, we can write this statement as the following equation:

$y=\frac{2}{x} \\ \\ where \ k=2$

So, by plotting this equation, the result is shown in the Figure below. As you can see, this graph matches the graph above, so the conclusion is that the function has an inverse variation with k=2

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X + 2y = 10<br><br> y=x-4<br> Choices are:<br> (0,4)<br> (2,6)<br> (6,2)<br> (8,0) <br> Work shown

LuckyWell [14K]

Answer:

C) (6,2)

Step-by-step explanation:

Rewrite equations:

y=x−4;x+2y=10

Step: Solve y=x−4for y:

y=x−4

Step: Substitute x − 4 for y in x+2y=10:

x+2y=10

x+2(x−4)=10

3x−8=10(Simplify both sides of the equation)

3x−8+8=10+8(Add 8 to both sides)

3x=18

(Divide both sides by 3)

x=6

Step: Substitute6forxiny=x−4:

y=x−4

y=6−4

y=2(Simplify both sides of the equation)

Hope this helps!

5 0

3 years ago

Read 2 more answers

Pleaseee help I need fast and right

Alinara [238K]

Answer: e. x≠2 f. x≥-1/2

Step-by-step explanation:

Domain is basically the x value of a function.

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

Question e.

g(x)=5/(2-x)

First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.

Since x is in the denominator: 2-x≠0

2-x≠0

<h2> x≠2 Yes, this is the domain</h2>

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

Question f

h(x)=√(2x+1)

For a standard square root, the value inside can't b negative

So 2x+1≥0

2x≥-1

<h2> x≥-1/2 Yes, this is the domain</h2><h2 />

Hope this helps!! :)

Please let me know if you have any question

8 0

3 years ago

Prove that the (n+1) term of a G.P of which the first term is a and third term is b,is equal to the (2n+1) term of a G.P of whic

Ahat [919]

Hello,

$u_{1} =a\\
 u_{3} =b\\

q= (\dfrac { u_{3} } {u_{1 } } )^ \frac{1}{2} \\\\\\

=(\dfrac{b}{a}) ^ \frac{1}{2} \\




 u_{n+1} =a*q^{n}=a* (\dfrac{b}{a}) ^ \dfrac{n}{2} \\


 \\\\\\\\\\\\v_{1} =a\\
 v_{5} =b\\

r= (\dfrac { v_{5} } {v_{1 } } )^ \frac{1}{4} \\\\\\


 v_{2n+1} =a*r^{2n}\\\\
=a* (\dfrac{b}{a}) ^ \dfrac{2n}{4}\\\\


=a* (\dfrac{b}{a}) ^ \dfrac{n}{2} \\





$

3 0

3 years ago

Can someone figre this one out for me too plss with work shown and explanation NO LINKS AND NO DOING IT JUST FOR POINTS will giv

11111nata11111 [884]

Answer:

3 right and 1 up

Step-by-step explanation:

hope this helps!

8 0

3 years ago

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Vikentia [17]

Step-by-step explanation:

area of trapezoid=(a+b)×h divided by 2

=(9+19)×4 divided by2

=28×4 divided by2

=112 divided by 2

=56m square

6 0

2 years ago