All categories

3 years ago

The variables x and y vary directly. Use the given values of the variables to write an equation that relates x and y x=-2, y=-2

Mathematics

1 answer:

pochemuha3 years ago

8 0

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the 'constant of direct variation'.

We are given that x = -2 and y = -2

Thus,

The equation is:

y = kx

substituting x = -2 and y = -2

-2 = k(-2)

-2 = -2k

We can further simplify the equation to determine the value of 'k'

dividing the equation by -2

-2/-2 = -2k/-2

1 = k

Therefore, the value of k = 1

Thus, the equation becomes

y = kx

substituting k = 1 in the equation

y = (1)x

y = x

Therefore, an equation that relates x and y is:

y = x

You might be interested in

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

3 years ago

Which line segment is a radius of circle A?

liubo4ka [24]

AB and AC ................................

7 0

3 years ago

Read 2 more answers

For each scenario below, choose the graph that gives the best representation.

kvv77 [185]

The graph that gives the best representation of the scenario is: option 1 (A).

<h3>Graph of Distance vs Time</h3>

A typical graph of distance vs time shows the distance covered as against time.
If the graph shows a line that slopes upwards, it implies movement from a spot, if it shows an horizontal line, it implies a rest.

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

Learn more about distance vs time graph on:

brainly.com/question/18655388

8 0

3 years ago

Verify whether the indicated numbers are zeroes of their corresponding polynomials.

Mashcka [7]

Answer:

No, incorrect

Step-by-step explanation:

<u>Given</u>

Q(s) = -4s^3 + 7s^2 - 24;
s = -4 and 1

<u>Verifying zeroes</u>

Q(-4) =

-4(-4)^3 + 7(-4)^2 - 24 =
256 + 112 - 24 =
344
Incorrect as 344 ≠ 0

Q(1) =

-4(1)^3 + 7(1)^2 - 24 =
-12 + 7 - 24 =
-29
Incorrect as -29 ≠ 0

8 0

3 years ago

Suppose that a student has $150 in a band savings account at the start of the school year. Calculate the change in that savings

Roman55 [17]

150 12 x 10=120+150= 270

4 0

3 years ago