14. A computer originally costs $1550 is on sale for 15% off. How much is

5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is off

kari74 [83]

Answer:

12742.84$

Step-by-step explanation:

11798 (the price) + 11796 x 0.08 (8% interest)=12742.84

6 0

2 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

2 years ago

Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.

Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

(3,4)

(4,-6)

The distance 'd' between (3,4) and (4,-6)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):$

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting the points values

$=\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}$

$=\sqrt{1+10^2}$

$=\sqrt{1+100}$

$=\sqrt{101}$

$=10.0$ units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0

3 years ago

Below are the graphs of y=|x| and y=|x|-5. How are the functions related? The functions have the shape. The y-intercept of y=|x|

4vir4ik [10]

Answer:

same, 0, -5

Step-by-step explanation:

6 0

2 years ago

A cone shaped building has a height of 11.4 meters and a base with a diameter of 12 meters . The building will be filled with ro

Vlad1618 [11]

Answer:

The answer to your question is $ 8591.04

Step-by-step explanation:

Data

height = 11.4 m

diameter = 12 m

cost = $20/ft³

Process

1.- Calculate the volume of the cone

Formula

Volume = 1/3 πr²h

Substitution

Volume = 1/3 (3.14)(12/2)²(11.4)

Simplification

Volume = 1/3(1288.66)

Volume = 429.55 m³

2.- Calculate the cost

$20 ----------------- 1 m³

x ----------------- 429.55 m³

x = (429.55 x 20)/ 1

x = $ 8591.04

8 0

3 years ago