Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
__
1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
1.086 rounded to the nearest whole number would remain as one.
This is due to the fact that the tenths place does not have any number, and due to this the whole number would remain one.
If the number were to change, it would look as the following:
1.5 rounded to the nearest whole number 2.
Answer:
The fence will cost $330.09
Step-by-step explanation:
First we have to calculate the perimeter of the semicircle for that we use the following formula:
d = diameter = 29ft
s = perimeter of semicircle
π = 3.14
s = d * 1/2 * π
we replace the values that we know
s = 29ft * 1/2 * 3.14
s = 45.53ft
Now we multiply the number of feet by the price of 1 foot of fence
45.53 * $7.25 = 330.0925
Rounding to the nearest hundredth
$330.0925 = $330.09
Answer:
The slope of line parallel to 2x-y = 18 will be 2.
Step-by-step explanation:
Given
The equation of a line : 2x – y = 18
The standard form of an equation of a line in slope-intercept form is:
y=mx+c
So, we will have to convert the given equation in the standard form.
2x-y=18
-y=-2x+18
-y= -(2x-18)
y=2x-18
The coefficient of x in this form is the slope of the line.
So,
m_1=2
We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..
Answer:
Yes; DEF was produced through rigid transformations.
Step-by-step explanation:
You aren't changing the shape or angles of the triangle, you're just moving it through space.
