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4 years ago

1/3(x+3) - 2/x+3, where x is not equal to negative 3

1 answer:

5 0

If $x\neq 3$ , then

$\frac{1}{3(x+3)} - \frac{2}{x+3} = \frac{1\cdot 1-2\cdot 3}{3(x+3)} = \frac{-5}{3(x+3)} =- \frac{5}{3(x+3)}$ .

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Write 240 minutes in hours

miv72 [106K]

240 minutes is equal to 4 hours.

7 0

3 years ago

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Find the volume of the sphere pictured below. The sphere has a radius of 20 cm. Use 3.14 for pi. Give your answer rounded to the

zhenek [66]

Answer:

33493.3

Step-by-step explanation:

Sphere

Solve for volume

V=4/3πr^3 4/3*3.14*20^3=33493.3

6 0

4 years ago

Need help with this question.

solniwko [45]

We have this equation:

$\log(x) + \log(x + 99) = 2$

First, combine both logarithms using the multiplication property and simplify the expression.

$\log[x(x + 99)] = 2$

$\log[ {x}^{2} + 99x ] = 2$

Now, use the definition of logarithm to transform the equation.

${10}^{2} = {x}^{2} + 99x$

${x}^{2} + 99x - 100 = 0$

Finally, use the quadratic formula to solve the equation.

$x = \frac{ -99 ± \sqrt{ {99}^{2} - 4 \times 1 \times ( - 100)} }{2 \times 1}$

With this, we can say that the solution set is:

x = 1
x = -100

We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.

8 0

2 years ago

More than half of 2000.00 equals how much

lina2011 [118]

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3 years ago

A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u

EleoNora [17]

Answer:

when the survey was initially conducted the average sales of smartphones was 1.7 million units

Step-by-step explanation:

The average annual sales of smartphones is given by function

$P(n)= 1.7 (b)^n$

Exponential growth function is given by

$f(x)= ab^x$

Where a= initial value

b = growth factor , b= 1+r where 'r' is the growth rate

x is the time period

Now we compare f(x) with P(n)

the value of a= 1.7 that is the initial value.

So we can say, when the survey was initially conducted the average sales of smartphones was 1.7 million units

8 0

3 years ago