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Aliun [14]
3 years ago
9

Sketch the graph of a function whose first derivative is always negative and second derivative is always positive.

Mathematics
1 answer:
Wewaii [24]3 years ago
7 0
Y = f(x)
y' < 0 
y'' > 0

<span>Function must be decreasing and concave
</span>
f(x)= e^{-x}&#10;\\&#10;\\f'(x)=- e^{-x}\ \textless \ 0=-\frac{1}{e^x} \ \textless \ 0&#10;\\&#10;\\f''(x)=(-e^{-x})'=e^{-x}= \frac{1}{e^x} \ \textgreater \ 0

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3(6d-24)=6(12+3d)<br> i need help
Alexxandr [17]

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

3(6d−24)=6(12+3d)

Step 1: Simplify both sides of the equation.

3(6d−24)=6(12+3d)

(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)

18d+−72=72+18d

18d−72=18d+72

Step 2: Subtract 18d from both sides.

18d−72−18d=18d+72−18d

−72=72

Step 3: Add 72 to both sides.

−72+72=72+72

0=144

Answer:

There are no solutions.

5 0
3 years ago
2x-4y=6 and 3x+y=-5 what is the point of intersection
VMariaS [17]

Answer:(-1,-2)

Step-by-step explanation:

5 0
3 years ago
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FREE TEN POINTS TO WHOEVER ANSWERS RIGHT NOW!!!!!!!!!!!!!!!!!!!!!!Consider this equation:  2/3 x − 9 − 2x + 2 = 1 Which is an eq
marin [14]

Answer:

(Option B) StartFraction negative 4 Over 3 EndFraction x minus 7 = 1  

Step-by-step explanation:

5 0
3 years ago
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Does anyone know the answer to this ?
melamori03 [73]

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

6 0
3 years ago
on patrick's test he got 14 multiple choice questions and 6 true or false questions correct. patrick also got 1 multiple choice
solniwko [45]
So first add the multiple choice together to get 15 and the true/false together to get 10. Then add those together to get 25. Since there was 15 multiple choice, divide 15 by 25 to get 3/5. This is .8 in decimal form and to convert it to a percent multiply it by 100 to get 80%. Hope this helps!
8 0
3 years ago
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