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3 years ago

Find an equation of variation where y varies directly as x and y = 0.8 when x = 0.4

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

Answer:

y = 2x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 0.8 when x = 0.4

k = $\frac{y}{x}$ = $\frac{0.8}{0.4}$ = 2

y = 2x ← equation of variation

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Find the slope that passes through (2,-4) and (5,2)

yanalaym [24]

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-(-4)}{5-2}=\frac{6}{3}=2$

Therefore, the slope is 2.

Final answer is 2.

*The answer must have a positive sign.*

I hope this helps you!

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-Charlie

Thank you! :)

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3 years ago

Select all the measures of variability that can be used to compare two data sets.

zhannawk [14.2K]

A) mean & C) median, I believe

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3 years ago

Read 2 more answers

9. What is the system of equations that describes the following graph?

jeka94

The graph represented in the figure shows a set of linear equations each of which is represented a straight line.

Step-by-step explanation:

System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.

Linear set of equations are the most simple of equation depicting a linear relationship between two variables.

E.g. Y=4x+3

here y and x share a linear relationship which is defined by the straight-line graph "4x+3"

Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.

3 0

3 years ago

HELP any1 good at math?

valentina_108 [34]

Step-by-step explanation:

the equations are :-

=》d = 40m + 200

=》d = 50m

here, by equalising both equations.

( since, d = d )

=》40m + 200 = 50m

=》50m - 40m = 200

=》10m = 200

=》m = 200 ÷ 10

=》m = 20

now,

=》d = 50m

=》d = 50 × 20

=》d = 1000

6 0

2 years ago

Can someone solve this? and tell me how?

maksim [4K]

Answer:

1/3

Step-by-step explanation:

When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.

The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the reverse operation.

The reverse of exponents is square root.

$(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x$

Isolate x to solve. Separate the variables and non-variables.

4x + 10 = 9 + 7x

4x - 4x + 10 = 9 + 7x - 4x Subtract 4x from both sides

10 = 9 + 3x

10 - 9 = 9 - 9 + 3x Subtract 9 from both sides

1 = 3x Divide both sides by 3 to isolate x

x = 1/3 Answer

8 0

3 years ago