Answer:
34 because 50 percent of 68 is 34
The two graphs intersect where the x and y values are exactly the same. The trouble here is that by setting them equal to each other and solving for x only gives you 1 of the 3 points where those graphs intersect. The other 2 have to be found on your calculator. The only point you can solve for analytically is done this way:
. Multiply both sides by x+2 to get
. We then have that
and x+2=1. Solving the first one for x gives us that x = 1, -1 and the second one gives us that x = -1. Looking at the graph, we can see that there is no point of intersection at x = 1, but there is in fact one at x = -1. So that's 1 point of intersection. The other 2 are found on your calculator. Graph both the functions in the same viewing window, then hit 2nd and trace and scroll down to 5 for intersection. You will move your cursor along the first curve to where it appears the 2 intersect and hit enter, then you will be prompted to move the cursor along the second curve to where that cursor overlaps the first. Hit enter again and then it will display "guess?" and hitting enter again gives you the exact point of intersection. Besides the (-1,1), our 2 other points of intersection here are (-1.618034, 2.618034) and (.61803399, .38196601). No way you could tell that from merely looking at the graph!!! Let your calculator work for you...it can do AMAZING things!!!!!! Learn as much about it as you can!!
Answer:
Step-by-step explanation:
When you are changing a repeating decimal to a fraction, there is a trick you have to know. 2 actually. Put the decimal right before the repeating starts and right after the repeating starts. This one is a bit tricky since the decimal is after a 1, and 1 is what is repeating. So let's leave that one as is and simply say that
x = -1.11111
Now let's move the decimal right after the second one. To do that you have to multiply by 10. So we then can say that
10x = -11.11111
For this problem, we will disregard the negative til the end because it just makes things confusing.
Subtract the smaller equation from the larger:
10x = 11.111111
- 1x = 1.111111
and get
9x = 10
Divide both sides by 9 to get 10/9 which is 1 1/9 as a mixed fraction. Let's check it first to see if we're correct, then we'll throw the negative sign back on.
10/9 on your calculator gives you 1.111111111 repeating, so now that we know we are correct, the mixed fraction is
-1 1/9
Answer:
x = 59°
Step-by-step explanation:
When the two lines being crossed are Parallel Lines the Alternate Exterior Angles are equal.
So we equate both the angles in this case being,
so the value of x is 59°
I thinks it is the The third circle