The function c(x) = 0.5x+70
1 answer:
Given:
The cost function
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,
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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We can infer and logically deduce that the arc intersected by these chords are not congruent.
<h3>What is a circle?</h3>A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is generally considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.
<h3>What is an arc?</h3>In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.
Let the radii of the two (2) different circles with center O and O' be r₁ and r₂ respectively. Also, two (2) isosceles triangles AOB and COD would be formed and as such we have:
AO = OB = r₁.
CO = O'D = r₂.
By critically observing the diagram (see attachment) of these circles, we can logically deduce that the arc intersected by chord AB is greater than the arc intersected by the chord CD.
This ultimately implies that, the arcs intersected by these chords are not congruent.
Read more on arcs here: brainly.com/question/11126174
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<u>Complete Question:</u>
Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.
Hint: It would be helpful to draw two circles and label them according to the given information, then evaluate possible arc measures.
Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle. Compare the triangles made by two circles with different radii.
Answer:
Step-by-step explanation:
GIVEN: Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams Three players in each team.
TO FIND: how many different ways can they be put into two teams of three players.
SOLUTION:
Total number of players
total teams to be formed
total players in one team
we have to number of ways of selecting players for one team, rest
will go in other team.
Total number of ways of selecting players
Hence total number of different ways in which they can be put into two different teams is