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3 years ago

in algebra, you can use function ________ to express the idea that salary depends on the number of hours of training.

1 answer:

const2013 [10]3 years ago

8 0

<span>In algebra, you can use function __Notation______ to express the idea that salary depends on the number of hours of training.

</span>

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

4 0

2 years ago

51. (08.02 MC) Box A has a volume of 48 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were double

Vanyuwa [196]

Answer:

384 m³

Step-by-step explanation:

Let the dimension of box a be l,b, and h.

ATQ,

lbh = 48 .....(1)

If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.

Let V be the volume of box B.

V = (2l)(2b)(2h)

V = 8(lbh)

= 8(48) [from equation (1)]

= 384 m³

Hence, the volume of the box B is 384 m³.

7 0

3 years ago

The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly emp

uranmaximum [27]

We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.

<h3>How do you find out the best salary option?</h3>

Given that, Salary per year = $78,000.

Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.

The total number of working hours from Sunday to Saturday is 47.

The payment for 47 hours of work per week will be given below.

Salary per week = $40 \times 26 + 7 \times 39$

Salary per week = $1313

We know that there are 52 weeks in one year. So the salary for one year is given below.

Salary per year = $1313\times 52$

Salary per year = $68276

We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.

Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.

To know more about years and weeks, follow the link given below.

brainly.com/question/1123016.

6 0

2 years ago

2.5y=5 what is the answer to the equation?

postnew [5]

Answer:2

Step-by-step explanation:

2.5(2)

7 0

2 years ago

Read 2 more answers

The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft t

pochemuha

These calculations are based on the drawing of the file enclosed.

There are three right triangles.

From the big right triangle:

a^2 + b^2 = 25^2

From the small right triangle on the left side:

(25-x)^2 + 10^2 = a^2

From the small right triangle on the right side

x^2 +10^2 = b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2

=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2

=> x^2 -50x + 100 =0

Use the quadratic formular to find the roots:

x = 2.1 and x = 47.9

Distance from back: 25 - 2.1 = 22.9 ft

Answer: 22.9 ft

8 0

3 years ago

Read 2 more answers