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3 years ago

Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

Mathematics

2 answers:

Ksivusya [100]3 years ago

4 0

Answer:

y=5x and y=40 when x=8

Cloud [144]3 years ago

4 0

Answer:

y = 5x

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

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Nine more than 3 times a number is the same as 6 less than twice the number

Ludmilka [50]

Answer:

Step-by-step explanation:

Let the number = x

3x + 9 = 2x - 6 Looks like you are going to get something negative here.

Subtract 2x from both sides.

3x - 2x + 9 = 2x - 2x - 6

x + 9 = -6

Subtract 9 from both sides.

x + 9 - 9 = - 6 - 9

Combine

x = - 15

7 0

3 years ago

PLs help with these 2 problems

gavmur [86]

The expressions are simplified to 2x and $\frac{2}{(x+ 1)(x - 1)}$

<h3>How to simply the expressions</h3>

Given the expression;

$\frac{8x^2 - 4x}{4x - 2}$

Let's factorize the numerator;

$\frac{2x( 4x - 2)}{4x - 2}$

Factor the common terms, we have;

2. $\frac{1}{x-1} - \frac{2}{x} + \frac{1}{x + 1}$

Find the Lowest common multiple

$\frac{x(x+ 1) - 2 (x+ 1)(x - 1) + x(x-1)}{x(x-1)(x+ 1)}$

expand the brackets

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

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

collect like terms

$\frac{2x}{x(x+ 1) (x-1)}$

Divide common terms

$\frac{2}{(x+ 1)(x - 1)}$

Thus, the expressions are simplified to 2x and $\frac{2}{(x+ 1)(x - 1)}$

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

7 0

2 years ago

Plz help i need answer ASAP

Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3>Reading the graph!</h3>

The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

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

<h3>Intercepts:</h3>

When a line meets both the axes (x-axis and y-axis), it forms intercepts.

There are two types of intercepts:

x-intercept (when the line meets the x-axis)
y-intercept (when the line meets the y-axis)

Each of their length is equal to their distance from the Origin(0, 0)

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

<h3>Equation of a line (intercept form):</h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

$\boxed{ \mathsf{ \frac{x}{a} + \frac{y}{b} = 1 }}$

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

<h3>Equation of the line in question:</h3>

x-intercept (a) = -1
y-intercept (b) = 2

$\implies \mathsf{ \frac{x}{( - 1)} + \frac{y}{2} = 1 }$

The sign of the denominator is taken by the numerator:

$\implies \mathsf{ - \frac{x}{1} + \frac{y}{2} = 1 }$

Taking LCM:

$\implies \mathsf{ \frac{ - 2x + y}{ 2} = 1 }$

Cross multiplying:

$\implies \mathsf{ - 2x + y = 2 }$

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

Isolating y:

$\implies \mathsf{ \underline{ y = 2 + 2x }}$

That's the equation of the given line!

6 0

3 years ago

Volume of cone round to the nearest 10th

guapka [62]

Answer: 63

Maybe?

If it’s wrong sorry :)

4 0

3 years ago

2+2=4\ whats yall qc (question cove)

luda_lava [24]

The answer to this question would be 4

4 0

3 years ago

Read 2 more answers