Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
To solve this equation, we can select various values for x and then compute the corresponding y values.
<pFor instance, when x = 1, we find:
4*1 - 3y = 1
3y = 3
y = 1
When x = 2, we discover:
4*2 - 3y = 1
3y = 7
y = 2.333
Then for x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
Therefore, the coordinates we will plot are (1, 1), (2, 2.333), and (3, 3.666).
Refer to the attached image for the plot.
There were 30 adults and 10 children, totaling 40 attendees. Just sum them together.
The hyperbolic cosine function (cosh) is defined as
cosh (x) = (e^x + e^-x) / 2
The tangent line's slope at any given point on a function is determined by the derivative of that function at that specific point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Assuming the slope equals 2, we have
sinh(x) = 2
thus,
x = sinh^-1 (2) = 1.444
Consequently, the curve of y = cosh(x) has a slope of 2 at the coordinate x = 1.44
