Answer:
D. The point at x = 0 is x-intercept itself.
Step-by-step explanation:
First, substitute x = 0 in f(x) = sin(x) and examine the point and values.
When x = 0, sin(0) = 0.
Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.
The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.
Thus, A and B are not correct choices.
The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.
Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.
Answer:
1.5m
Step-by-step explanation:
5*3.05=1.525
when you round it is 1.5
Answer:
Any of the above
Step-by-step explanation:
Any one of the given parameters defines the size of the circle, so any or all of them will have the same value for congruent circles.
Plugging B into the equation, we get 7.5(25)+(300*5/100)+40=187.5+15+40=
242.5 dollars
For C, since she gets 7.5 dollars per hour, we simply change the 7.5 to 9. Since 7.5 is a number multiplied by a variable, it is a coefficient.
Answer:
f(x) = -5x +48
Step-by-step explanation:
A fairly easy way to write the equation of the perpendicular line is to swap the x- and y-coefficients, negating one of them. Then choose the constant in the equation to make it true at the given point.
<h3>Swapped coefficients</h3>
In this instance, we find it convenient to leave the coefficient of y as positive.
5y = x -10 . . . . . . original equation
y = -5x +c . . . . . . with coefficients swapped, x-coefficient negated
<h3>New constant</h3>
At the given point, the equation becomes ...
8 = -5(8) +c
48 = c . . . . . . . add 40
<h3>Equation of the perpendicular line</h3>
The equation of the line is then ...
y = -5x +48
f(x) = -5x +48 . . . . . . in functional notation