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Vlada [557]
3 years ago
5

Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture

. ​

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer:

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Step-by-step explanation:

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Sum of the first two is:
-3x+5+7-4x = -7x+12
That subtracted from 5x+17:
5x+17-(-7x+12) = 12x+5
5 0
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Svet_ta [14]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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ki77a [65]
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7 0
3 years ago
Find the surface area and show work
Law Incorporation [45]

Answer: 1,270in^2

Step-by-step explanation:

The surface area of a rectangle can be calculated with:

Area_{rectangle}=lenght*width

The surface area of a trapezoid can be calculated with:

Area_{trapezoid}=\frac{height}{2}(Larger\ base+Smaller\ base)

Calculate the area of the base, wich is a rectangle:

A_{1}=(34in)(15in)=510in^2

There are two equal rectangles, therefore, multiply the area of any of them by 2:

A_{2}=2(15in)(13in)=390in^2

Calculate the area of the other rectangle:

A_{3}=(15in)(10in)=150in^2

There are two equal trapezoids, therefore, multiply the area of any of them by 2:

A_4=\frac{2(5in)}{2}(34in+10in)=220in^2

Therefore, the surface area will be the sum of all the areas calculated:

SA=A_1+A_2+A_3+A_4\\\\SA=510in^2+390in^2+150in^2+220in^2\\\\SA=1,270in^2

7 0
3 years ago
A scale model of a building is 6in tall. The scale of the model is 1in. :50ft. How tall is the actual building?​
saw5 [17]

Answer:

300 ft

Step-by-step explanation:

3 0
3 years ago
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