When you do (f+g)(x), all you have to do is take both functions and add them to each other. It should look like this when you set it up:
Then just add like terms and you should get:
Hope this helped.
Answer:
a-2=a-2
Step-by-step explanation:
Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.
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:
(a) Altitude
(b) perpendicular bisector
(c) median
Step-by-step explanation:
- The perpendicular bisector of a side of a triangle is a line <u>perpendicular </u>to the side and passing through its midpoint.
- The angle bisector of an angle of a triangle is a straight line that <u>divides the angle</u> into t<u>wo congruent angles</u>.
- A median of a triangle is a line segment drawn <u>from a vertex</u> to the <u>midpoint</u> of the opposite side of the vertex.
- An altitude of a triangle is the <u>perpendicular</u> segment <u>from a vertex</u> of a triangle <u>to the opposite side</u> (or the line containing the opposite side).
(a) Altitude
m∠KML = 90° but JM ≠ ML (so not perpendicular bisector)
(b) perpendicular bisector
AD = DB and m∠BDE = 90°
(c) median
QS = QR ⇒ S is the midpoint QR, BUT it is not perpendicular to QR, so median
Answer:
134/25
Step-by-step explanation:
5 9/25 > 5 * 25 = 125 + 9 = 134. > 134/25
