Answer:
x=95
Step-by-step explanation:
Angles on a line add to 180. Therefore, finding
180=85+x
Will result in the correct answer. Also, solving
180=35+2x
for x will get you 95.
24 miles to on one gallon of gas
Distance/gallons
258/10.75
24
2 + 3 - 4 + ( 5 . 4 ) = 5 - 4 + 20 = 1 + 20 = 21
It can be helpful to use technology (a spreadsheet program or graphing calculator) to help you with iterated functions. What you are doing is evaluating the function using its output as new input.
(A) Whenever the magnitude of the slope of a function is less than 1, it will iterate toward the point where it intersects the line y = x. Here the magnitude o the slope is 1/2, so the final value in this case will approach
.. x = y = (-1/2)x +3
.. 3/2x = 3 . . . . . . . . add x/2
.. x = 2 . . . . . . . . . . . multiply by 2/3
You can see several iterations in the table in the figure here.
(B) The values get closer to 2 in each case.
_____
Iteration of this function is like drawing a spiral on the graph. Start with some point on the function curve, such as (0, 3). Draw a horizontal line to the line y=x. this gives you x=3. Now draw a vertical line to the function curve. This will give you the point (3, f(3)) = (3, 1.5). Draw a horizontal line to y = x, repeating as many times as you like. You will see the points get closer and closer to (2, 2) with each loop around the spiral.
If the slope of the function is greater than 1, the "spiral" will diverge instead of converging.
The best answer to this statistic question would be 15.7% or, if rounded off, 16%. This is because those students who have GPAs are approximately at least 1 standard deviation away from the mean and more - which means that 84% of the GPAs are less then 3 pounds. I subtracted 84 from 99.7 (which is the whole distribution's percentage) and came up with 15.7.