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Studentka2010 [4]
3 years ago
5

10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!!

Mathematics
1 answer:
stich3 [128]3 years ago
8 0
A) The signs of the first derivative (g') tell you the graph increases as you go left from x=4 and as you go right from x=-2. Since g(4) < g(-2), one absolute extreme is (4, g(4)) = (4, 1).

The sign of the first derivative changes at x=0, at which point the slope is undefined (the curve is vertical). The curve approaches +∞ at x=0 both from the left and from the right, so the other absolute extreme is (0, +∞).

b) The second derivative (g'') changes sign at x=2, so there is a point of inflection there.

c) There is a vertical asymptote at x=0 and a flat spot at x=2. The curve goes through the points (-2, 5) and (4, 1), is increasing to the left of x=0 and non-increasing to the right of x=0. The curve is concave upward on [-2, 0) and (0, 2) and concave downward on (2, 4]. A possible graph is shown, along with the first and second derivatives.

You might be interested in
A ball is thrown in the air from a ledge. Its height in feet is represented by  f(x) = –16(x^2 – 5x – 6), where x is the number
leonid [27]
I believe your answer is 6 seconds.

Because the height of the ball = -16(x² - 5x - 6), when the height of the ball is 0, which is when it is on the ground, we can set -16(x² - 5x - 6) equal to 0. This also allows us to divide by -16, and then we can solve the equation:

x² - 5x - 6 = 0
(x - 6)(x + 1) = 0

So x = 6 or x = -1, and because a quantity of time cannot be negative, x would have to be 6, which means it takes 6 seconds for the ball to reach 0 feet.

I hope this helps!
6 0
3 years ago
48 logs on 6 trucks ​
blagie [28]

Answer:

288 is your answer. 8 is your answer.

Step-by-step explanation:

If you want to know how many logs all together, all you do is multiply.

48 x 6 = 288

288 is your answer.

Or division it is

48/6 = 8

8 is your answer.

6 0
3 years ago
Jenny is making a quilt from the pattern blocks shown below.
denis23 [38]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
Divide 6.391 ÷ 0.57. Round the quotient to the nearest hundredth.
Paul [167]
The answer is 11.21, dividing 6.391 by 0.57 will give you 11.2122807018.
Rounding to 11.21 because the thousandths place is less then 5 so the hundredths place stays the same.
               (numeral)~(decimal)~(tenths)(hundredths)(thousandths)
5 0
3 years ago
Find the number that comes after 144five
Over [174]

Answer:

The number that comes after 144five is:

= 200five.

Step-by-step explanation:

Adding 1 to 144 base 5 will result in:

144

+  1

= 200

b) To obtain the next number that comes after 144five, add 1five to 144five.  Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward.  When 1 is added to the next 4, the result will be 0 with 1 carried backward.  1 added to 1 = 2, all in base 5.  Figures in base 5 cannot exceed 4.  The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

7 0
2 years ago
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