All categories

2 years ago

In the equation above k is a constant if y = 2 when x= 5 what is the value of x when y= 5

Mathematics

1 answer:

Tresset [83]2 years ago

6 0

The value f x when y= 5 is 2

<h3>Variations </h3>

Let the given equation be y = k/x

where k is the constant

if y = 2 when x= 5, then;

k = xy

k= 2(5)

k = 10

In order to determine the value of x when y = 5

x = k/y

x = 10/5

x = 2

Hence the value f x when y= 5 is 2

Learn more on variation here: brainly.com/question/6499629

#SPJ1

You might be interested in

Help plzzz!!!<br><br> Find a<br><br> a= 12<br> a= 10<br> a= 1<br> a= 29

RideAnS [48]

Answer:

a=22.6549

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 0.99484 rad = 57°

a = c·sin(A)/sin(C) = 22.6549

b = c·sin(B)/sin(C) = 12.33874

3 0

2 years ago

Which graph represents y=^3sqrt x-5

Lelechka [254]

Answer:

Step-by-step explanation:

Graph 4

7 0

3 years ago

Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of

Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is $C=25(1.025)^x$

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

$\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28$

It will take 28 years

5 0

3 years ago

Please help meeee ………..

Len [333]

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

$\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5$

6 0

1 year ago

A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) of S'(x) = 225-x^2, wh

Kipish [7]

Answer:

After 15 years the use of said machine is no longer profitable

Step-by-step explanation:

it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).

3 0

3 years ago