if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
<h3>
</h3><h3>
What is wrong with the graph?</h3>
When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.
In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
That is the only error with the graph.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
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Find where the equation is undefined ( when the denominator is equal to 0.
Since they say x = 5, replace x in the equation see which ones equal o:
5-5 = 0
So we know the denominator has to be (x-5), this now narrows it down to the first two answers.
To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.
In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)
so the degrees would be equal.
Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.
This makes the first choice the correct answer.
Answer:
$8
Step-by-step explanation:
36 juice = $4.80
60 juice = ?
36/6 = 4.80/6
6 juice = 0.8
0.8x10=8
Answer:
D) 8x²-172x+120
Step-by-step explanation:
Length=2(-2x+20)+6
Width=-2x+20
(-4x+40+6)(-2x+20)
(-4x+46)(-2x+20)
8x²-80x-92x+920
8x²-172x+920
The slope of the best fit for the 3 given points is 500, so the correct option is b.
<h3>
How to find the slope?</h3>
Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:
With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.
The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)
Then the 3 slopes are:
The average slope is:
So the correct option is b.
If you want to learn more about slopes:
brainly.com/question/1884491
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