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Ket [755]
3 years ago
13

State the domain of the rational function. f(x) = seventeen divided by quantity five minus x

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

If we are going to write the equation in its mathematical form, we will see that it becomes,

<span>                                        f(x) = 17/(x – 5)</span>

The domain of the function is the number of x that would allow us to solve the equation and get a real value for f(x). In this equation, x can take any real numbers so long as it is not 5. This is because 5 – 5 in the denominator will lead to 0 which in turn makes the equation indefinite.

<span> </span>

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Min Jee wants to build a small patio using either brick or paver stones.
Anvisha [2.4K]
Brick = 3.5 in by 7.5 in and costs $0.59
Paver = 8.4 in by 8.4 in and costs $1.88

The small patio's area = 3430 square inches
The Area of 1 Brick = 26.25 square inches
The Area of 1 Paver = 70.56 square inches

The # of Bricks to complete the Patio will be:

Patio's Area / the Area of 1 Brick = # of Bricks to complete the patio
3430 square inches / 26.25 square inches = 130.67 = 131

Then, multiply the # of Bricks to complete the patio by the amount that 1 brick costs:

131 * $0.59 = $77.29

It will take $77.29 to complete the Patio with bricks. 

The # of Pavers to complete the Patio:

Patio's Area / the Area of 1 Paver =  # of Pavers to complete the Patio
3430 square inches / 70.56 square inches = 48.6 = 49

Then, multiply the # of Pavers to complete the patio by the amount that 1 Paver costs:

49 * $1.88 = $92.12

Cost of Bricks to complete Patio = $77.29
Cost of Pavers to complete Patio = $92.12

To conclude, Bricks would cost less by $14.83.

5 0
3 years ago
An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ represent the angle's varying m
Alexxandr [17]

Answer:

0.546 , -4.71

Step-by-step explanation:

Given:

An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.

Here, Slope = tan\theta

If θ = 0.5

Then, Slope = tan(θ) = tan(0.5) = 0.546

If θ = 1.78

Then, Slope = tan(θ) = tan(1.78) = - 4.71

The expression (in terms of θ) that represents the varying slope of the terminal ray.

Slope = m = tanθ, where θ is the varying angle

7 0
3 years ago
Suppose 12 quarts of pure antifreeze is mixed with 8 quarts of a solution that is 72% antifreeze. Answer the questions below. Do
ra1l [238]
(a)  

12+0.72(8)

12+5.76

17.76 qts of antifreeze

(b)

100(12+8(.72))/(12+8)

100(12+5.76)/20

100(17.76)/20

5(17.76)

88.8%
4 0
3 years ago
The Jones family is planning a vacation. They will drive from Boston, MA to Tampa, FL (total of 1,336 miles) over 4 days. They w
Zarrin [17]

Answer:

The answer is 440 miles.

Step-by-step explanation:

You add up the miles that have already been driven and subtract them from the total number of miles. this will give you 440 miles.

5 0
3 years ago
The perimeter of a rectangle is
kondor19780726 [428]
<h3 /><h3>verified \: answer  \sqrt}</h3>

Equation for Perimeter of a rectangle: Perimeter = 2W + 2L

<h3>Defining the variables, let</h3>

<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>

<h3>Plugging everything into the equation</h3>

<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3>

<h3>30=2x+4x+6 combining like terms</h3>

<h3>30=6x+6 subtracting 6 from both sides,</h3>

<h3>24=6x divide both sides by 6</h3>

<h3>4=x This means that the width is 4 m.</h3>

<h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3>

<h3>L=2(4)+3</h3>

<h3>L=8+3 = 11 m</h3>

<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>

8 0
3 years ago
Read 2 more answers
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