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bixtya [17]
3 years ago
12

The function c(x) = 0.5x+70

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Given:

The cost function

c(x) = 0.5x + 70

where x is the number of miles the truck has been driven.

Graph:

We must first construct the table. We start by manually calculating the valueof c(x) for every x starting with x = 0.

We may take any real values of x ≥ 0 to make our table. Here, I have chosen x = 0, 10, 20, 30, 40, 50, 60, 70.

We then plot the points of x on the x-axis and of c(x) on the y (or vertical) axis.

The graph as well as the table have been uploaded as images.

Concept & Explanation:

<u>Domain</u> - the domain of the given function is the set of all the values that x can take for the function to be valid.

<u>Range</u> - the range of the given function is the set of all the values c(x) will take for each value of x in the domain.

Here, x represents the number of miles driven and c(x) represents the cost of renting. Clearly, neither x nor c(x) can be negative. Moreover, both these values will be real numbers.

Note that x may be zero (if the renter doesn't drive the truck at all) or x may be positive.

Taking the case when x = 0,

c(x)=0.5(0) +70 = 70

Therefore, we have identified the lower limits of both the domain and the range.

Seeing as the moving company has not imposed an upper limit on the number of miles that can be written, we can not reasonable identify any upper bounds for the domain and range.

So, domain is the set 0 ≤ x < ∞

And, range is the set 70 ≤ c(x) < ∞  


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Answer:

B. n + 17 = 26

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A and C are immediately out as they don't have "any number" in them. It cannot be D because it's "17 more than a number", not 26 more than a number. Thus, the answer is B.

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3 years ago
The reciprocal of 11 over 7<br> -
Katarina [22]

Answer:

7/11

Step-by-step explanation:

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Find the perimeter of the following isosceles triangle. show work
julsineya [31]

Answer

Find out the perimeter of the isosceles triangle.

To prove

As shown in the figure.

P(0,4) , Q(-2,0) and R(2,0) are the vertices of the triangle PQR.

Formula

Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} -y_{1})^{2}}

As P(0,4) and Q(-2,0)

PQ = \sqrt{(-2 - 0)^{2} +(0 - 4)^{2}}

PQ = \sqrt{4+16}  

PQ = \sqrt{20}\unit

In the isoceles triangle the two sides of the triangles are equal .

Therefore PQ = PR

PR = \sqrt{20}\unit

As Q(-2,0) and R(2,0)

QR = \sqrt{(2- (-2))^{2} +(0 - 0)^{2}}

QR = \sqrt{(4)^{2}}

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Perimeter\ of\ triangle PQR = \sqrt{20} +\sqrt{20} + 16

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Solve by elimination: -5/7-11/7 x=-y, 2y=7+5x
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Answer:

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Step-by-step explanation:

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The answer to the question

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