Hello there! We are given the following equation and want to simplify it:
First, let's use the Distributive Property:
For this step, we are going to let:
After applying this version of the Distributive Property, we are given the equation:
We're going to use the distributive party again, but a slightly different version that's almost the same as first:
Using this on both terms of the equation changes the equation to:
Now, we just remove the parenthesis and combine like terms
This should be your answer. Let me know if you need any clarifications, thanks!
~ Padoru
Answer: If you are supposed to graph a line, it will be a horizontal line (parallel to the x-axis) passing through +3 on the y-axis. The slope is 0.
it is a function.
If you are doing range and domain, the range is [3] and the domain is [1,2,3,4,5]
Step-by-step explanation: If there are directions above question 1 that apply to question 2, please add them to the comments.
Maybe someone else will be able to help if it is too late for me to edit this answer.
Answer:
Step-by-step explanation:
1/4 x 20x - 1/4 x 28<2x - 6 + 2
5x - 28/4<2x - 4
5x - 2x<-4 + 28/4
3x<-4/1 + 28/4
3x<-16 + 28/4
3x<12/4
3x<3
3x/3<3/3
x<1
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Answer: No, 8.03 is greater than 8.012
