Mathematics, 03.11.2020 17:40 bks53

The function $c\left(x\right)\ =\ 0.5x+70\ $ represents the cost $c$ (in dollars) of renting a truck from a moving company, where $x$ is the number of miles you drive the truck.

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Answer from: naomicervero

Step-by-step explanation:

A line is defined by the expression

f (x) = m * x + b or y = m * x + b

where me is the slope of the line and b is the y-intercept.

In this case, the value of the slope m is 0.5, which expressed as a fraction is 1/2, and the value of y-intercept is 70.

So, to graph the line, you must first plot the y-intercept at 70. Then you must plot a second point, considering that:

m=Δy÷Δx so $m=\frac{1}{2}$

In other words, for every 2 units that you move to the right, you must move 1 unit up.

In this way you get the graphic of the attached image.

The domain of a function is the set of values that the independent variable x can take. In this case x represents the number of miles the truck drives, the value of which cannot be negative. Then the values of x must be equal to or greater than zero. Then, the domain of the line in this case, expressed as an inequality, is 0≤x≤∞

In the graph you can see that the cost c (in dollars) of renting a truck from a moving company when the number of miles the truck drives is zero has a value of $ 70. In this way you can determine that the cost of x number of miles is equal to or greater than 70. Then the image of the function, expressed as an inequality, is 70≤y≤∞

$The function $c\left(x\right)\ =\ 0.5x+70\ $ represents the cost $c$ (in dollars) of renting a truck$

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

Answer from: Quest

i think it is 70

step-by-step explanation:

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