Answer:
The graph of the given function f(x) is attached below :
To find vertical asymptotes :
Since the given function is rational so the vertical asymptotes of the function will be zeroes of the denominator
Vertical Asymptotes : x + 2 = 0
⇒ x = -2
To find horizontal asymptotes :
As the degree of numerator is s equal to the degree of denominator. Therefore,
Answer: Speed of motorboat= 25 km hr
Speed of current= 5km hr
Step-by-step explanation:
120/4= speed of motorboat with the current
120/6= speed of motorboat against the current
Get the average of those 2 numbers.
Motorboat=25 km hr
Speed of current= 5 km hr
<u>Answer</u>
Ann factored it correctly
Max did not factor it completely
The correct factorization is as shown.
<u>Explanation</u>
4x² − 6x − 4
The product of this equation = 4 × -4
= -16
Sum = -6
<em>Find 2 numbers that you can multiply to get -16 and when you add the same numbers you get -6.</em>
The numbers are: -8 and 2
4x² − 6x − 4 = 4x² -8x + 2x − 4
= (4x² - 8x) + (2x − 4)
= 4x(x - 2) + 2(x - 2)
= (x - 2)(4x + 2)
= 2(x - 2)(2x + 1)
Hello!
We need to know that if two lines are parallel, then their slopes must be equivalent. This means that the new equation has a slope of -1.
Also, to find the equation that contains the point (3, -2), we need to substitute that ordered pair with the original slope into the equation to find the y-intercept.
As a reminder, slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
-2 = -1(3) + b
-2 = -3 + b (add 3 to both sides)
1 = b
Therefore, the equation of the line is y = -x + 1.
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