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Law Incorporation [45]

3 years ago

8

Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent

the independent variable. A concert ticket costs $60

1 answer:

sdas [7]3 years ago

6 0

Independent is number of tickets bought. dependent is total cost.

y=60x

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3x = 2y. Is this equation a linear or non-linear relation? How do you know?

viktelen [127]

Answer:

linear equation
all variables are to the first power

Step-by-step explanation:

"Linear equation" is another way to say "first-degree equation." That is, the equation involves constants and variables to the first degree only. No term contains any product or ratio of variables.

A term is first degree when the sum of all of the exponents of the variables is 1, and all exponents are positive integers. That is, the only allowed exponent of the single variable in a term is 1.

Here, the term on the left side of the equal sign has x to the first power. The term on the right side of the equal sign has y to the first power. Both are linear terms, so this is a linear equation.

7 0

3 years ago

Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2

Zepler [3.9K]

Answer:

8

Step-by-step explanation:

Given:

13 - 0.75w + 8x

where,

w = 12

x = 1/2

13 - 0.75w + 8x

Substitute the value of w and x into the equation

= 13 - 0.75(12) + 8(1/2)

= 13 - 9 + 8/2

= 13 - 9 + 4

= 8

Therefore,

13 - 0.75w + 8x = 8

6 0

3 years ago

The table shows the average number of pounds of trash generated per person per day in the United States from 1970 to 2010. Use t

iogann1982 [59]

Answer:

Mean = 4.11; Median = 4.44

Explanation:

Using a graphing calculator, enter the values into the first list. Then run one-variable statistics on the list.

By hand, to find the mean, add together all of the values:

3.25+3.25+3.66+3.83+4.57+4.52+4.74+4.69+4.44 = 36.95

Divide by the total number of data points, 9:

36.95/9 = 4.11

To find the median, order the data from least to greatest:

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

The middle number is 4.44.

8 0

3 years ago

Read 2 more answers

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la

andriy [413]

Answer:

Initial value is $\frac{1}{2}$ .

Step-by-step explanation:

Let us assume that the exponential function is $f(x) = a(b)^{x}$ ...... (1)

Now, the point $(0,\frac{1}{2})$ will satisfy the above equation.

Now, this point on the graph of the exponential function will be sufficient to find the initial value of the function (1) i.e. a.

Now, putting the value x = 0 and $y = \frac{1}{2}$ in the equation (1) we get, $f(x) = a(b)^{x}$

⇒ $\frac{1}{2} = a(b)^{0} = a$

⇒ $a = \frac{1}{2}$ (Answer)

10 0

3 years ago

Read 2 more answers

Yoko's penny bank is 2/5 full. After she adds 320 pennies, it is 2/3 full. How many pennies can Yoko's bank hold?

sergejj [24]

Answer: 1200 pennies

Step-by-step explanation:

Let x be the number of pennies Yoko's bank can hold.

We can set up an equation representing the information given.

$\frac{2x}{5} + 320 = \frac{2x}{3}$

We can multiply both sides by 15:

6x + 4800 = 10x

Combine like terms:

4x = 4800

Divide both sides by 4:

x = 1200

6 0

2 years ago

Read 2 more answers