Answer:
B. 3.
Step-by-step explanation:
At the limit we can take the numerator to be √(9x^4) = 3x^2
The function is of the form ∞/ ∞ as x approaches ∞ so we can apply l'hopitals rule:
Differentiating top and bottom we have 6x / 2x - 3. Differentiating again we get 6 / 2 = 3.
Our limit as x approaches infinity is 3.
Answer:
Step-by-step explanation:
m=x^3+y^2-6(x-y)-2021
distribute: 6x-6y
now you have m=x^3 + y^2 - 6x - 6y - 2021
The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
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Answer:
From September 20 to January 20, there are 4 months only which is equivalent to 1/3 of a year. The interest earned by the investment, P, made is calculated
Step-by-step explanation:
Answer:
50 = p + 42
Step-by-step explanation:
The unknown part of this equation is the variable p, the number of people that left. So you want to add p to 42 and that will give you the total number of football players, which is 50. In order to get p, you need to get it by itself and make it equal something. Subtract 42 from both sides and you are stuck with 50-42 = p
p = 8