Answer:
it's 58 it's 58 it's 58 it's 58
• The slope of the tangent line at the point is
dy
dx
x=2 = 2x
x=2 = 4 =
4
1 =
rise /run .
• A vector parallel to the tangent line is v = [1,4]
• A vector parallel to the tangent line is v = [1,4].
Two unit vectors parallel to the tangent line are
u =
v /|v| =
[1,4]/ √
1+16 =
h
√ -1/ <span>√ </span>17 , 4 /<span>√ </span>17 i
and
1) This question is asking for the linear equation of the data in the table.
Remember a linear equation in slope-intercept form for this problem is something like a = cm + b, where c = the slope of the equation, b = the y intercept,
and m and a are your variables (and values in the table).
This might be confusing if you haven't learned it! Don't worry, all you need to know is the equation and just plug in values to find b (since that's the number that different in all your answer choices).
2) All your answer options have the same slope, c = -4000. All you want to find is the value of b, the y-intercept.
This value you can find by plugging in a set of values from the table into your equation, knowing c = -4000. Let's plug in the first row of values: m = 1, a = 35000.
a = cm + b
a = -4000m + b
35000 = (-4000)(1) + b
35000 = -4000 + b
39000 = b
3) That means b = 39000. Put b = 39000 and c = -4000 together into your equation a = cm + b to get your final equation:
a = cm + b
a = -4000m + 39000
That is answer choice B.
------
Answer: B) -4000m + 39000
Answer:
We have the expression -1(2x + 3) - 2(x - 1).
Distribute the -1 across the 2x and 3.
-1(2x + 3) - 2(x - 1) = -2x - 3 - 2(x - 1)
Now distribute the 2 across the x and -1.
-2x - 3 - 2(x - 1) = -2x - 3 - 2x + 2
Combine like terms.
-2x - 3 - 2x + 2 = -4x - 1
So, D -4x - 1 is the answer.