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Natasha2012 [34]
4 years ago
14

Suppose y varies directly with x. If y = 6 when x = 2, find x when y = 12.

Mathematics
1 answer:
igomit [66]4 years ago
3 0

Answer:

x = 4 when y = 12

Step-by-step explanation:

The ratio of y to x is 6:2. If you multiply either one of them, you must do the same to the remaining number. So, when you multiply 6 by 2 to get 12, you must also multiply 2 by 2 to keep the ratio equal and the same. 2x2 = 4, so x=4 when y=12. Hope this helped! Good luck with other math problems :)

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Write a few sentences explaining how to determine whether a relation shown in a table or a graph is a function.
ohaa [14]

Answer:

y=f(x)

y=5x

y=3x

are examples of function

Step-by-step explanation:

definition of a function

if there is one to one relation between a relation

then  it is defined as a function

for example

y=5x is a function

because when we put some value of x it gives back only one value of y as output.

y=±5x is  not a function because one value of x gives two values(positive and negative) values of y hence not a function.

8 0
3 years ago
the intensity, I, of light varies inversely as the square of the distance, D2 , from the light source. If I is 150 units when D
podryga [215]

\bf \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{I} varies inversely with }\underline{D^2}}{I = \cfrac{k}{D^2}} \qquad \qquad \textit{we also know that } \begin{cases} I=150\\ D=6 \end{cases}

\bf 150=\cfrac{k}{6^2}\implies 150=\cfrac{k}{36}\implies 5400=k~\hfill \boxed{I=\cfrac{5400}{D^2}} \\\\\\ \textit{when I = 24, what is \underline{D}?}\qquad \qquad 24=\cfrac{5400}{D^2}\implies D^2=\cfrac{5400}{24} \\\\\\ D^2=225\implies D=\sqrt{225}\implies D=15

5 0
4 years ago
By law, the maximum slope of a wheelchair ramp is 1/12.
Snezhnost [94]
Yes, it meets the requirements. 1/12 simplifies to 0.0833 and 4/50 simplifies to .08. .
7 0
4 years ago
How do I solve this? I will mark answer brainiest pls respond asap!
Illusion [34]

The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

First, we need to find the line of best fit:

Let's suppose the line of the best fit is:

y = mx + c

We can find the value of m:

\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}   and

\rm c = \dfrac{\sum y -m \sum x}{n}

After calculating, we will get:

m = 4.71

d = -30.31

y = 4.71x—30.31

Plug x = 9.5

y = 14.43 ≈ 14.5 oz

Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0
2 years ago
How many fourths are in 5 1/2?
Inessa05 [86]
There are 22 fourths in 5 1/2
5 0
4 years ago
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