Answer:
No Solution
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, the lines are parallel and they do not intercept at a point.
There is no solution; your answer should be correct.
They are asking us to find another 'family' of linear functions. This time, they are asking that 'f(2) = 1' be true for any f(x) in the family. Because we are now provided with a point and no slope, it would be best to use a point-slope form definition. (If we use slope-intercept, we would end up with an unknown intercept and nothing to do about it!)
So, our point would be (2,1). The slope will remain as a variable.
<span>f(x)−f(<span>x1</span>)=m(x−<span>x1</span>)</span>
<span>f(x)−1=m(x−2)</span>
<span>f(x)=m(x−2)+1</span>
If you check, x=2, f(x) will always equal 1, so we have found the correct function family that satisfies the given information.They want you to define a 'family' of linear functions and they give you only a slope, so we are going to have a set of functions in the form
<span>f(x)=mx+b;m=2</span>
<span>f(x)=2x+b</span><span>
This function, "f(x) = 2x + b," can represent any linear function given some y-intercept 'b', so this will be sufficient for first part of our answer. Then, we are asked to graph a few functions of the family. So, we can choose any values for 'b' that we want and graph these on the xy-plane. I would recommend choosing b values close to 0 for ease of graphing. So, b=1, b=0, and b=-1 should be sufficient (they really are not clear about 'how many'). I assume you know how to graph them, but I would be glad to show you how if you are not certain.
</span> We know that to meet the requirements of BOTH parts, it has to be a function of slope 2 and value of f(2) = 1. Well, we already have a function that defines the f(2)=1 is true part, and if we substitute m=2 into that family, then we will have a function of slope 2.
<span><span>f(x)=(2)(x−2)+1=2x−4+1=2x−3</span></span>
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
we know that
The solution of the inequality is the shaded area below the dashed line of the parabola
The equation of the dashed line is the vertical parabola
therefore
The solution in the attached figure
The unit rate can be interpreted as the slope will give of a delivery per hour
<h3>What is graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given: The total time for which Noel drives = 152 hours
The total number of successful deliveries = 19
Now, Noel's unit rate for successful delivery is given by:-
Hence, Noel's unit rate for the successful delivery 1/8 of a delivery per hour
To know more about graph follow
brainly.com/question/25020119
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2.67035
Formula: 154°x(pie)/180=2.67rad