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2 years ago

Write an equation that expresses the following relationship.

Mathematics

2 answers:

stepladder [879]2 years ago

6 0

Answer:

w = $\frac{ku}{d^{2} }$

Step-by-step explanation:

Ostrovityanka [42]2 years ago

3 0

Step-by-step explanation:

W varies as u and inversly as d^2

w=uk*1÷d^2

w=ku÷d^2

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3 years ago

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Step-by-step explanation:

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2 years ago

Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

2 years ago

The difference of three times a number and 4 is -15

attashe74 [19]

Answer:

Let the number be n.

3n - 4= -15

3n= -15+4

3n= -11

n= -11/3

n= -3.67 or n= -3 2/3

Step-by-step explanation:

Bring over 4 to the RHS of the equation and divide the RHS by 3.

4 0

2 years ago