Answer:
x = -36
Step-by-step explanation:
Step 1: Write equation
x/16 - (x + 2)/8 = 2
Step 2: Solve for <em>x</em>
- <u>Multiply both sides by 16:</u> x - 2(x + 2) = 32
- <u>Distribute -2:</u> x - 2x - 4 = 32
- <u>Combine like terms:</u> -x - 4 = 32
- <u>Add 4 to both sides:</u> -x = 36
- <u>Divide both sides by -1:</u> x = -36
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-36/16 - (-36 + 2)/8 = 2
-9/4 - -34/8 = 2
-9/4 + 17/4 = 2
8/4 = 2
2 = 2
(i) To show that a piecewise function is continuous at a point, we need to show that the left hand and right hand limit "agree" with each other. In other words, we want:
Now, since we're given the constraints and the equation of each constraint, we notice that 6061^+ is a number that is slightly bigger than 6061. So we use the second equation. Do you see why?
In much the same way, 6061^- is a number that is slightly smaller than 6061. So we use the first equation. Again, do you see why? (Hint: look at the conditions on x for each equation).
So finally, computing each limit means just "plugging" 6061 into their respective equations. That is:
Since your limits match, we say that, at the point x = 6061, T(x) IS continuous.
(ii) Repeat the process above with x = 32473.
(iii) Find a point of discontinuity just means your right hand and left hand limits do not match -- I'm not an economist, so I may not be of much help with the latter part of the question!
Try drawing a line between ∠a and <span>∠b and label it Z or z. Connect the line with D.
z=b+c
d=z+a
d=a+b+c
I hope this helped.</span>
Answer:
you didn't attach an image
Answer:
Step-by-step explanation:
hello :
941 = 8 ×117+5
the remainder is 5
Writing in remainder notation would have 941/8 = 117 R 5