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Marta_Voda [28]
3 years ago
6

G(t)= -(t-1)^2 +5 Over which interval does g have an average rate of change of zero?

Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

add me on snap

Step-by-step explanation:

bre.twining05

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What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​
lbvjy [14]

Answer:

185/27

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

−2x

3

+3x

2

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,  

27

185

​

 should be subtracted from 3x

4

−2x

3

+3x

2

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.

8 0
2 years ago
A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
Calculate the area of QRS
Eduardwww [97]

Answer:

  153 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)bh

where b is the base length, and h is the height measured perpendicular to the base.

The diagram shows b = QR = 18 cm, and h = 17 cm. So, the area is ...

  A = (1/2)(18 cm)(17 cm)

  A = 153 cm²

7 0
3 years ago
I NEED HELP ASAP PLEASE!!!
Alex17521 [72]

Answer:

Q2: -17

Q3: a) -5/2  b) g = -13

Step-by-step explanation:

2w+7 = -9

2w = -9 - 7

w = -16/2

w = -8

---

15 - 4w

= 15 - 4(-8)

= 15 - 32

= -17

----------------------

Q3:

a) 3/4(16m-24) = -48

16m -24 = -48 ÷ 3/4

16m = -64 + 24

16m = -40

m = -5/2

b) -20 = 1/6(36+12g)

-20 = 1/6 × 6(6+2g)

(cross out the 6 from 1/6 and 6)

-20 = 6 + 2g

-20-2g= 6

-2g = 6+20

-2g = 26

g = 26/-2

g = -13

3 0
3 years ago
Y=1/3x+11/15 find x if y=6
Svetlanka [38]

Step-by-step explanation:

plug in y

6=1/3x+11/15

multiply both sides by 15 to get rid of the fraction

90 = 5x +11

move terms to make them like terms

-5x =11- 90

-5x = -79

divide both sides by -5

evaluate for x

3 0
3 years ago
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