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2 years ago

11

What are the solutions to the equation |X – 3|= 14?

1 answer:

bagirrra123 [75]2 years ago

6 0

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are two solutions to an absolute value, one positive and one negative

x-3 = 14 and x-3 = -14

Add 3 to all sides

x-3+3 =14+3 x-3+3 = -14+3

x = 17 x = -11

x = {-11,17}

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Consider the diagram and angle measurements shown below.

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2 years ago

A tailor has 13 1/2 yards of fabric to use for making costumes. For each costume, he needs 1 1/2 yards of fabric for the top and

VLD [36.1K]

Answer:

6 complete costumes

Step-by-step explanation:

he has 27/2 total fabric

1 costume requires 1 2/4 + 3/4 of fabric, which is 2 1/4

we divide 27/2 by 9/4

27/2 x 4/9 = 6

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2 years ago

Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w

Savatey [412]

Answer:

a. $y= 130x + 350 + \epsilon$

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

$y=\alpha x + \beta + \epsilon$

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

$\alpha = 130$ y $\beta = 350$ Obtaining:

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5 0

3 years ago

Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000

Mandarinka [93]

The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393

The life expectancies of the models are given as:

$y =69.9352 + 0.1530\times (income)$ --- model 1

$y =4.2436 + 0.0021\times (income)$ --- model 2

$y =4.1393 + 0.0603\times (income)$ --- model 3

Given that the average annual income is $80,000;

We simply substitute 80000 for income in the equations of the three models.

So, we have:

<u>Model 1</u>

$y =69.9352 + 0.1530\times (income)$

$y =69.9352 + 0.1530\times 80000$

$y =12309.9352$

<u>Model 2</u>

$y =4.2436 + 0.0021\times (income)$

$y =4.2436 + 0.0021\times 80000$

$y =172.2436$

<u>Model 3</u>

$y =4.1393 + 0.0603\times (income)$

$y =4.1393 + 0.0603\times 80000$

$y =4828.1393$

Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393

Read more about linear models at:

brainly.com/question/8609070

4 0

2 years ago

What would the answer be for this equation 7x/20 - 5x/12

polet [3.4K]

Answer:

$\frac{1}{15} x$

Step-by-step explanation:

$\frac{7x}{20} - \frac{5x}{12}$

$\frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12}$

$\frac{21x}{60} - \frac{25x}{60}$

$\frac{21x - 25x}{60} = (21 - 25)x = - 4x$

$\frac{ - 4x}{60} = - \frac{ x}{15}$

$\boxed{\green{= \frac{1}{15} x}}$

4 0

2 years ago